ࡱ>   r#` fbjbj .[ pppLNLNLN8N0PXQ p^"^^_\v05777777$dh![pl|ll[ ^_1pl` ^^p_5l5u"Np_LQ `5²LṆIN0"v" "p) hTȜ ԟ[["llll3CD C  Chapter 06.05 Adequacy of Models for Regression Quality of Fitted Model In the application of regression models, one objective is to obtain an equation y=f(x) that best describes the n response data points (x1 ,y1), (x2 ,y2), ....., (xn , yn). Consequently, we are faced with answering two basic questions. Does the model y=f(x) describes the data adequately, that is, is there an adequate fit? How well does the model predict the response variable (predictability)? To answer the above questions, let us start from the examination of some measures of discrepancies between the whole data and some key central tendency. Look at the two equations given below.  EMBED Equation.3  (1)  EMBED Equation.3  (2) where Sr is the sum of the square of the residuals (residual is the difference between the observed value, yi and the predicted value,  EMBED Equation.3 ), and St is the sum of the square of the difference between the observed value and the average value.  SHAPE \* MERGEFORMAT Figure 1. Spread of data about the mean value of y  SHAPE \* MERGEFORMAT Figure 2. Spread of data about the regression line. To normalize with respect to the number of data points, we calculate standard deviation,  EMBED Equation.3  as  EMBED Equation.3  (3) However, why is St divided by (n-1) and not n as we have n data points? This is because with the use of the mean in calculating St, we lose the independence of one of the degrees of freedom. That is, if you know the mean of n data points, then the value of one of the n data points can be calculated by knowing the other n-1 data points. The standard deviation is an estimate of the spread of the data about its average. Similarly, to normalize the sum of the square of the residuals with respect to the number of data points, the standard error of estimate is calculated as  EMBED Equation.3  (4) where m is the number of constants of the model (a straight line model  EMBED Equation.3 has two constants,  EMBED Equation.3 and  EMBED Equation.3 ; an exponential model EMBED Equation.3 has two constants,  EMBED Equation.3 and  EMBED Equation.3 ; a polynomial model  EMBED Equation.3  has three constants,  EMBED Equation.3 , EMBED Equation.3 and EMBED Equation.3 ). The subscript y/x stands for that the error in the predicted value of y for a chosen value of x. Why is Sr divided by (n-m) and not n as we have n data points? This is because with the use of the mean in calculating Sr, we lose the independence of m degrees of freedom. What inferences can we make about the two equations? Equation (2) measures the discrepancy between the data and the mean. Recall that the mean of the data is a measure of a single point that measures the central tendency of the whole data. Equation (2) contrasts with Equation (1) as Equation (1) measures the discrepancy between the vertical distance of the point from the regression line (another measure of central tendency). This line obtained by the least squares method gives the best estimate of a line with least sum of deviation.  EMBED Equation.3  as calculated quantifies the spread around the regression line. The objective of least squares method is to obtain a compact equation that best describes all the data points. The mean can also be used to describe all the data points. The magnitude of the sum of squares of deviation from the mean or from the least squares line is therefore a good indicator of how well the mean or least squares characterizes the whole data. We can liken the sum of squares deviation around the mean,  EMBED Equation.3  as the error or variability in  EMBED Equation.3  without considering the regressor variable,  EMBED Equation.3 , while  EMBED Equation.3 , the sum of squares deviation around the least square regression line is error or variability in  EMBED Equation.3 remaining after the dependent variable EMBED Equation.3  has been considered. The difference between these two parameters measures the error due to describing or characterizing the data in one form instead of the other. A relative comparison of this difference EMBED Equation.3 , with the sum of squares deviation associated with the mean  EMBED Equation.3  describes a quantity called coefficient of determination, EMBED Equation.3   EMBED Equation.3  (5)  EMBED Equation.3  (6) Where EMBED Equation.3 , called Pearson's product moment correlation coefficient (PPMCC) Another way of defining  EMBED Equation.3  (see Equation 3) is to describe it as the proportion of variation in the response data that is explained by the regression model. We note that EMBED Equation.3 . When all points in a data set lie on the regression model, the largest value of r2=1 is obtained, while a minimum value of r2=0 is obtained when there is only one data point or if the regression model is a constant line given by the average of the y data values. Example 1 The following y vs. x data is given xy1 7 13 19 251 49 169 361 625  SHAPE \* MERGEFORMAT . Figure 3. Data points of the y vs x data Although  EMBED Equation.3  is an exact fit to the data, a scientist thinks that  EMBED Equation.3  can explain the data. Find constants of the model,  EMBED Equation.3 , and EMBED Equation.3 , standard deviation of the data points, standard error of estimate of the straight line model, the coefficient of determination for the straight-line model? Solution a) First find the constants of the assumed model  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  This gives  EMBED Equation.3   EMBED Equation.3  is the regression formula. b) The sum of the squares of the difference between observed value and average value,  EMBED Equation.3  is given by  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  EMBED Equation.3   EMBED Equation.3  The standard deviation of the observed values is  EMBED Equation.3  = EMBED Equation.3   EMBED Equation.3  c) The sum of the squares of the residuals, that is the sum of the square of differences between the observed values and the predicted values is  EMBED Equation.3   EMBED Equation.3  EMBED Equation.3  EMBED Equation.3  EMBED Equation.3 1 7 13 19 251 49 169 361 625-71 85 241 397 55372 -36 -72 -36 72  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  The standard error of estimate is  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  Since there is an improvement from a standard deviation of 255.68 to a standard error of estimate of 77.77, there is merit to explaining the data by the straight line  EMBED Equation.3  d) Then using equation (5), we get  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  This implies that 93.06% of the original uncertainty in the data is explained by the straight line EMBED Equation.3 . Caution in the use of  EMBED Equation.3   EMBED Equation.3  can be made larger (assumes no collinear points) by adding more terms to the model. For instance,  EMBED Equation.3  terms in a regression equation for which  EMBED Equation.3  data points are used will give an  EMBED Equation.3  value of 1 if there are no collinear points. The magnitude of  EMBED Equation.3  also depends on the range of variability of the regressor  EMBED Equation.3  variable. Increase in the spread of  EMBED Equation.3  increases  EMBED Equation.3  while a decrease in the spread of  EMBED Equation.3 decreases EMBED Equation.3 . Large regression slope will also yield artificially high EMBED Equation.3 .  EMBED Equation.3  does not measure the appropriateness of the linear model.  EMBED Equation.3  may be large for nonlinearly related  EMBED Equation.3  and  EMBED Equation.3 values. Large  EMBED Equation.3  value does not necessarily imply the regression will predict accurately.  EMBED Equation.3  does not measure the magnitude of the regression slope. These statements above imply that one should not choose a regression model solely based on consideration of EMBED Equation.3 . Other checks for adequacy Plot the graph and see if the regression model visually explains the data. Plot the residuals as a function of x to check for increasing variance, outliers or nonlinearity. Check if 95% of the values of scaled residuals are within [-2, 2]. The scaled residuals, SR are given by  EMBED Equation.3  (7) Example 2: Make the other checks for the adequacy of the model in Example 1. Solution Plot the graph as given below (Figure 4). See if the straight-line regression model visually explains the data. Although you may see a nonlinear trend in how the data points are around the straight line, this trend gets visually less exaggerated by extending the axis (Figure 5).  EMBED Excel.Chart.8 \s Figure 4. Linear regression model for data Figure 5. Linear regression model for data in Figure 4 with extended x-axis Plot the residuals as a function of x to check for increasing variance, outliers or nonlinearity. As seen from the residual plot, the residuals  EMBED Equation.3  do show nonlinearity. This may be the first indication so far, that the model is not adequate.  EMBED Excel.Chart.8 \s Figure 6. Residuals for data points Check if 95% of the values of scaled residuals are within [-2, 2]. The scaled residuals, SR are given by  EMBED Equation.3  where  EMBED Equation.3 the regression function, n is the number of data points and m is the number of degrees of freedom lost (constants of the model).  EMBED Equation.3  EMBED Equation.3  EMBED Equation.3 SR1 7 13 19 251 49 169 361 625-71 85 241 397 553 EMBED Equation.3  -0.4629 -0.9258 -0.4629 0.9258 All the scaled residuals are between [-2, 2], that is, more than 95% of the scaled residuals are in between [-2,2]. Adequacy of Coefficient of Regression A key consideration in any model is the adequacy of the model. One must always ask the question, does the fitted model adequately approximate the response variable? A negative answer to this question requires reevaluation of the assumed model. Prior to the interpretation of the prediction equation, one needs to consider the adequacy of the fit. This is done by the evaluation of the coefficient of determination. Having answered the adequacy question based on coefficient of determination, one might think that the regression coefficient estimates must be close to the true parameter values. There is a fallacy in this belief because wrongly specified model can provide acceptable residuals,  EMBED Equation.3  and  EMBED Equation.3  even with poorly estimated model parameters. This is the reason why we must examine the adequacy of the model parameters estimators. Hypothesis Testing in Linear Regression The test for significance if regression is to check if a linear relationship exists between y and x. The hypothesis is that If we are unable to reject the hypothesis EMBED Equation.3 , it would mean that there is no linear relationship between x and y. This implies whether the relationship between x and y is a constant line or that a linear relationship between y and x does not exist. Assuming normal distribution and using test statistics, a standard normal random valuable is given by  EMBED Equation.3  We would reject  EMBED Equation.3  if  EMBED Equation.3 , where  EMBED Equation.3  denotes the size (probability of Type I error) of the test. If  EMBED Equation.3  is not linear, a t-static can be replaced by  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  (8) Which is distributed a students  EMBED Equation.3  with  EMBED Equation.3  degrees of freedom. Hence the null hypothesis is rejected if  EMBED Equation.3  where  EMBED Equation.3  denotes the value of the  EMBED Equation.3 -distribution such that prob EMBED Equation.3  Example 3: From the data of Example 1, determine if the assumption of linear relationship is reasonable? Solution: We to test the regression variable influence the response, that is hypothesis  EMBED Equation.3   EMBED Equation.3  Since  EMBED Equation.3  and since 120.37>7.453, we reject the null hypothesis and accept the fact that x influences the response of variable y. Model Estimators The theoretical properties of the model parameter estimators are tied to the model assumptions. The model assumptions include Model is correctly specified. Predictor variables are non-random and are measured without error. Model error terms have constant variances, zero means and are uncorrelated. Model error terms are normally, independently distributed with mean zero and constant variance. Since the properties of the estimators are tied to the above assumptions, the adequacy of the estimators depend upon the correctness of the assumptions made in deriving the model. The estimators EMBED Equation.3  and  EMBED Equation.3  are unbiased and their variances are given as  EMBED Equation.3  (9)  EMBED Equation.3  (10) where  EMBED Equation.3  is the error variance. For tests of hypothesis, estimated standard errors for the slope and intercept are required and use of their variances becomes important. Estimation of the error variance is useful here. In tests of hypothesis, the estimate of error variance is useful in the calculation of estimated errors of regression model coefficients. It is useful in assessing quality of fit and prediction capability of the regression model. Example 4: Find the estimated standard error of the slope and the intercept for Example 1. Solution: The straight-line regression model calculated was y=-97+26x The estimated standard error of slope is  EMBED Equation.3   EMBED Equation.3  from Example 2  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  The estimated standard error of the slope is 0.2160 and the estimated standard error of the intercept is 7.215. Confidence Intervals To make inferences about the model coefficients, a more informative way could be the use of intervals with in which the parameters will lie. The probability statement associated with the student-t estimation is that for  EMBED Equation.3  confidence interval EMBED Equation.3 of slope EMBED Equation.3  in linear regression is  EMBED Equation.3  (11) Similarly for the intercept  EMBED Equation.3 in linear regression, the  EMBED Equation.3  confidence interval  EMBED Equation.3   EMBED Equation.3  (12) Example 5: Find the 95% confidence intervals for the slope and intercept of the regression model found in Example 1. Solution: The confidence intervals on slope  EMBED Equation.3  is  EMBED Equation.3  And for  EMBED Equation.3  is  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  (From Example 4)  EMBED Equation.3  (From Example 4)  EMBED Equation.3  (From Example 1)  EMBED Equation.3  (From Example 1) Hence for the slope EMBED Equation.3 , the confidence interval is  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  and the confidence interval for the intercept  EMBED Equation.3 is  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  Data Hazards in Regression The quality or goodness of the relationship between a response variable and one or more predictor variables in regression analysis depends largely on the quality of the data used. Thus, whether accurate conclusions are made or quality fit is obtained is determined by the representativeness of the data used. It is theoretically possible to obtain a fit irrespective of the nature of the data, hence the saying that garbage in and garbage out. Data that are not representative or inconsistent or even not properly compiled can result in poor fits and erroneous conclusions. For illustrative purposes, a study in which data obtained from racially homogeneous schools cannot be useful in making inferences about racial interactions in class and other sundry issues. Data inconsistency arises when there is no consistence in the data sampling. Multi collinearity arises when there is a near- linear relationship among the regressors. This is a serious problem that can impact the usefulness of the regression model since it affects ones ability to estimate regression coefficients. Four primary sources of multicollinearity include: Data collection method: When the analyst samples only a subspace of a region, the data collection method can lead to multicollinearity problems. Model or population constraints: Constraints on the model or in the population being sampled can cause multicollinearity. Example here can be data of two regressors that lie approximately along a straight line. Choice of model: The model specification can result in multicollinearity. Adding polynomial terms to a regression model may lead to multicollinear-since it gives rise to ill-conditioning of the matrix product XX. Also, if the range of the regressor variable is small, adding a squared regressor term can result in significant multicollinearity. Over-defined model: A model that has more regressor variables than observations is over defined and this may lead to multicollinearity. This is common in medical research. Because of limited space, we will not discuss in details several techniques available for detecting multicollinearity. But the simplest method of measuring collinearity is the inspection of the off-diagonal elements  EMBED Equation.3  in XX matrix product for which  EMBED Equation.3  will be near unity if regressors  EMBED Equation.3  and  EMBED Equation.3  are linearly dependent. Also the determinant of XX can be used as an index of multicollinearity since  EMBED Equation.3  for matrix XX which is in correlation form. For the regressors, orthogonality arises when  EMBED Equation.3  and linear dependence when  EMBED Equation.3  Outliers are data points that are not typical of the rest of the data and thus have considerably large residuals form the mean. The existence of outliers should be carefully investigated as to find out the reason why they occur. Reasons for their existence may be useful in rejecting or accepting them. Faculty measurement, lack of precision, incorrect recording of data, faulty instrument or analysis can all lead to outliers. Outliers may point out inadequacies in the model and thus a follow-up to ascertaining values of the regressor when the response was observed may be a useful exercise to improving the model. It is not recommended to just drop and outlier without first understanding the reason for its existence-is it a bad point or what? Various statistical tests exist for detecting and rejecting outliers. The easiest to apply involves the maximum normed residual test:  EMBED Equation.3  which is very large if the response is an outlier. Effect of an outlier may be checked by dropping it in the regression model and re-fitting the regression equation. If the summary statistics are overtly very sensitive to an outlier, that may not be acceptable model. In considering data hazards, the role of controlled and confounding variables in the regression equations must not be overlooked. Controlled variables are independent variables that the experimenter can manipulate in a systematic way. The controlled variable contrasts with the confounding variable, which although and independent variable but for some reason is influence on the outcome of experimental results instead of the controlled variables only. The results are said to be confounded in this case. An example may suffice to illustrate the concept. Consider a case of drug experiment in which two groups are compared. In one group a placebo is given and for the experimental group the active drug is prescribed. However, in the analysis of the data, it is discovered that the controlled group has a higher average age than the experimental group. The disease incidence for which the drug is prescribed is age related. It is possible that the observed difference in the treatment results between the two groups may be due to the age difference instead of the drug. The age difference is said to have confounded the findings. The effects of confounding can include the outcome result appearing smaller (under-estimated) or appearing bigger than it is (over-estimated). The direction of the observed effect may change as a result of confounding, resulting in a harmful factor appearing to be protective or vice versa. An effective method of controlling potential confounding factors is through good experimental design and rigorous checking for confounding factors at all stages of the study. ADEQUACY OF REGRESSION MODELSTopicAdequacy of Regression ModelsSummaryTextbook notes of Adequacy of Regression ModelsMajorGeneral EngineeringAuthorsEgwu Kalu, Autar KawDate DATE \@ "MMMM d, yyyy" \* MERGEFORMAT October 17, 2007Web Site HYPERLINK "http://numericalmethods.eng.usf.edu" http://numericalmethods.eng.usf.edu     ADEQUACY OF MODELS-REGRESSION PAGE  PAGE 1 800 Y X  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  600 400 200 0 y vs x 0 5 10 15 20 25 30 x y     !"#&012JKmrϾrb^VRKGK?;hHGhHGhHG6h6~ hs5hs5hyhs5hs55h}#\hu.h}#\5CJ$OJQJaJ$h}#\5CJ$OJQJ^JaJ$#hu.h}#\5CJ$OJQJ^JaJ$h %5CJ$OJQJ^JaJ$hs55CJ$OJQJ^JaJ$hP5CJ$OJQJaJ$ hHhPCJ0OJQJ^JaJ0h]5CJ0OJQJ^JaJ0hP5CJ0OJQJ^JaJ0#hHhP5CJ0OJQJ^JaJ012J7 $ d,$Ifa$gd~#D $dha$gdJ}$dh`a$gd+x $dha$gd+x$ & Fdha$gd+x $dha$gdC$a$gd+x $d,a$gd+x$ d,a$gd+x cSdf 5 6 F M V j u n jh6~hPEHUj vG hPCJUVaJjhs5hs5U hs5h6~ha?h6~ hs5ha? hHG6 hs5hyha?6CJH*hHG6CJH* hHG6CJhHGhHGhHG6 hs5hs50 F H I J b d e x y z { ŹŞŖŇzs_&jhy5CJ0OJQJU^JaJ0 hJ}6H*jhJ}hJ}EHUjaиJ hJ}CJUVaJjhJ}UhJ}hJ}6hHG hHG6hJ}hJ}6H*hHGhHG6ha?hJ}h{:Mh6~ hs5hs5jhs5hs5Ujh6~hPEHUjvG hPCJUVaJ 0 2 3 4 5 7 8 O P Q R S ì𤝤qXA,j hi.hi.5CJ0OJQJU^JaJ01jhi.5CJ0OJQJU^JaJ0mHnHuhi.5CJ0OJQJ^JaJ0&jhi.5CJ0OJQJU^JaJ0hJ} h|!5 h|!hyh|!hy5,jhyhy5CJ0OJQJU^JaJ01jhy5CJ0OJQJU^JaJ0mHnHu&jhy5CJ0OJQJU^JaJ0hy5CJ0OJQJ^JaJ0 4 5 6 7 T `UU $dha$gdJ}Ekd $$Iflr### t#644 laytR"$ d,$Ifa$gd~#DEkd$$Ifl~### t#644 laytR"T U  > `UUUFF$dh`a$gd+x $dha$gddEkd $$Ifl#^$ t^$644 layt|!$ d,$Ifa$gd~#DEkd" $$Ifl #^$ t^$644 layt|!S U _ w       . / 0 1 = > N O Q \ b j l w y wskd___kd h>$Y6 h>$Y6H*hHGh>$Y6h;Rj# hPh>$YEHUjV|G h>$YCJUVaJj. hPhPEHUjvG hPCJUVaJ hs5hPjhs5hPUhPh>$Yh;hd h|!h} h|!hi. h|!h;h|!hi.5\h}5CJ0OJQJ^JaJ0% "LNQ)*+,01Dµرxkjh5JhW2EHUjF hW2CJUVjhh5JhW2EHUj}G hW2CJUVaJhW2jhW2Uha?h;RjhPh>$YEHUj}|G h>$YCJUVaJ hs5h>$Yjhs5h>$YUhx&hJ}hyPh>$Y6 h>$Y6hdh>$Y'Xj !#%$dh$Ifa$gd+x $dha$gd+x $d@a$gd+x$dh`a$gd+xDEFG]^qrst'(ʽٰهzٰmj!h5JhW2EHUj6h5JhW2EHUj}G hW2CJUVaJj,h5JhW2EHUj"h5JhW2EHUjF hW2CJUVjh5JhW2EHUj}G hW2CJUVaJhW2jhW2Ujh5JhW2EHUjF hW2CJUV%()*-.ABCDFVZ!"#ACUYILUVWXhuûȷhaaU hs5haaUh0h6~ hs5hs5 h>$Y6 h>$Y6H*hHGh>$Y6h>$YhJ}h>$Y6 hJ}6hJ}j%h5JhW2EHUj7F hW2CJUVhW2jhW2Uj#h5JhW2EHU6 wyz;yz sej G hs5haaUUVj+hs5haaUEHUj G hs5haaUUVj)hs5haaUEHUj G hs5haaUUVjhs5haaUU haaU5hs5haaU5 hs5haaUj'hs5hs5EHUj G hs5hs5UVjhs5hs5UhaaU hs5hs5 hs5hi`$    '()*ܳܘ|ogXj'~G hW2CJUVaJhs5haaU6j5hW2hW2EHUj ~G hW2CJUVaJj3hs5haaUEHUj G hs5haaUUVj1hs5haaUEHUj G hs5haaUUVj/hs5haaUEHUj G hs5haaUUV hs5haaUhaaUjhs5haaUUj-hs5haaUEHU 5QRSfghijk~غ؞؍؉zm؉؉iha?j>haaUh.REHUjG h.RCJUVaJh;RhaaUj?<hs5h.REHUjG h.RCJUVaJj4:haaUh.REHUjG h.RCJUVaJ hs5h{:Mhs5haaU5 hs5haaUhs5haaU6jhs5haaUUj7hW2hW2EHU&)*=>?@AFOQR%:;<>?defgɶɥɖɁwog]h.RhaaU6H*h.Rh.R6h;RhaaU6h;RhaaU6H*h;Rh;R6jEhs5h;REHUjG h;RCJUVaJh{:MjyChs5h;REHUjG h;RCJUVaJhaaU hs5haaUhs5haaU6jhs5haaUUjAhs5h.REHUjG h.RCJUVaJ$gijuv~    !%EFG^_`abfmnopǾຳ௧yrkrgkrgkh|! h|!hJ} h|!h5h|!h#5\h|!h55\jHh5Ujh5UmHnHuh5jh5UhJ} haaU5\h%Hi hW26ha?hW2haaU6haaUhaaU5 haaU5hx&haaU hs5haaU haaUhaaU haaU6h.RhaaU6'%&(*-0358<@Dqqqqqqqqqq$dh$Ifa$gd+x~kdG$$IfTl0\ t0644 laT DEFcduf(>kdI$$Ifl ! t644 la$dh$Ifa$gd+x $dha$gd+x~kd[H$$IfTl0\ t0644 laTdi?Xq$ & F!dha$gd+x $dha$gd+x>kdI$$Ifl ! t644 la$ d,$Ifa$gd545HIJKPQdefg@ATwskhaaUhaaU5h.RjPh5JhW2EHUjF hW2CJUVjNh5JhW2EHUjF hW2CJUVjhW2UhW2jLhaaUEHUjԷ;B haaUCJUVjmJhaaUEHUj;B haaUCJUVjhaaUUhaaUhJ}h5hJ}CJ aJ &TUVWYZmnoprsܸܟ܅{ndj_haaUEHUjݿ;B haaUCJUVj\haaUEHUj;B haaUCJUVjsYhW2hW2EHUj~G hW2CJUVaJjdWhaaUEHUj;B haaUCJUVjUhaaUEHUj;B haaUCJUVhaaUjhaaUUjRhaaUEHUj;B haaUCJUV$  !"56789JK^_`abopҬ͟Ҍ{qdZjmhaaUEHUj;B haaUCJUVjjhaaUEHUj;B haaUCJUVhaaUh0jhh\h06EHUjX G h0CJUV haaU6jBeh7h06EHUjU G h0CJUV h06jh06UhW2jhaaUUjxbhaaUEHUj4;B haaUCJUV" 9b  7 ^ y !(!\!{!!$ @@dha$gd+x$ @@dh^a$gd+x$ dha$gd+x$ @dha$gd+x$ dha$gd+x $dha$gd+x      3 4 5 6 7 F G Z [ \ ] y | ܴܝ܆|oej{haaUEHUj;B haaUCJUVjxhaaUEHUj_{=B haaUCJUVjvhaaUEHUj;B haaUCJUVjthaaUEHUj;B haaUCJUVjJrhaaUEHUj;B haaUCJUVhW2haaUjhaaUUjohaaUEHUj;B haaUCJUV'| !! ! ! !!!$!%!&!'!(!-!.!A!B!C!E!X!Y!Z![!\!c!d!w!x!y!z!{!}pfjhaaUEHUj;B haaUCJUVjhaaUEHUjG;B haaUCJUVj~haaUEHUj;B haaUCJUVjށhaaUEHUj@;B haaUCJUVh$j7haaUEHUj;B haaUCJUVjG}haaUEHUj;B haaUCJUVjhaaUUhaaU&{!!!!!!!!!!!!!!!!!!!!!!""""""""""""""""""wmjhaaUEHUj;B haaUCJUVj}haaUEHUj1;B haaUCJUVjhaaUUhaaUhW2jjh;REHUj;B h;RCJUVjh;REHUj;B h;RCJUVh.Rjh;REHUj;B h;RCJUVjh;RUh;R'!!!"""""" #$ @@dh$Ifa$gd+x$ @@dha$gd+x """"""""""""# # # #R#S#f#g#h#i#j#l#m#r#s#############ܸܡܓܓ܆|ܓoejhaaUEHUjP;B haaUCJUVjQhaaUEHUj;B haaUCJUVh.RjhaaUEHUj=;B haaUCJUVj#haaUEHUj;B haaUCJUVjhaaUEHUj;B haaUCJUVhaaUjhaaUUjhaaUEHUj;B haaUCJUV& # ########]GGGGGGG$ @@dh$Ifa$gd+xkde$$IfTl\\  t0644 laT###'#+#/#2#6#:#>#A#E#I#M#P#$ @@dh$Ifa$gd+x P#Q#j#####]KKKKK$ @@dha$gd+xkd$$IfTl\\  t0644 laT##########$$$$$ $$!$"$#$$$$$$$$$$$%% % % % %!%"%#%+%,%?%ِwmjIhaaUEHUj;B haaUCJUVjhaaUUhaaUh$jh;REHUj;;B h;RCJUVjh;REHUj;B h;RCJUVjh;REHUj;B h;RCJUVh.Rjh;REHUjN;B h;RCJUVjh;RUh;R(#$%$$$ %$%C%b%%% &F'{(())O****$ & Fdha$gd+x $dha$gd+x$ @@dha$gd+x$ @@dha$gd+x?%@%A%B%J%K%^%_%`%a%t%z%%%%%%%%%%%%& & & & & & &!&"&ܹܽܬܝzm^Qjh0h0EHUjG h0CJUVaJjh0h0EHUjG h0CJUVaJh0jh0Uhs5hs55 h$5jhaaUEHUj;B haaUCJUVh$h.RhaaU6jҳhaaUEHUj;B haaUCJUVhaaUjhaaUUjhaaUEHUj;B haaUCJUV"&#&$&&&&&&&&&&&&&''''''W'X'k'l'm'n'o''''''''货zl_jThs5hs5EHUj G hs5hs5UVjJh0h0EHUj@h0h0EHUjG h0CJUVaJh0jMhs5hs5EHUj G hs5hs5UVj)hs5hs5EHUj~ G hs5hs5UVjhs5hs5U hs5hs5hs5hs56jh0U"''''''''''(( ((((( (B(C(V(W(X(Y(b(c(v(w(x(y(z(((((((xpi\jzh0h0EHU hs5h6hs5hs56jph0h0EHUj}hs5hs5EHUj G hs5hs5UVjsh0h0EHUjG h0CJUVaJh0jh0Ujhs5hs5EHUj G hs5hs5UVjhs5hs5Uh.R hs5hs5 hs5h.R$(((((((((( )!)4)5)6)7)8)])^)q)r)s)t)y)z))))))))))))***շ𞑬vijh0h0EHUjhs5hs5EHUjy G hs5hs5UVjhs5hs5EHUjg G hs5hs5UVjhs5hs5Ujh0h0EHUhlW^jh0h0EHUjG h0CJUVaJh0hs5hs56 hs5hs5jh0U&*****************_+`+++ , ,,,, ,`,a,l,{,,,,꬧ےۋۃvlhc\\ huwh{:M h$E5h;jh%HiEHUj;B h%HiCJUVjh%HiU h%Hi6]h{:Mh%Hi6h%Hih%Hi5 h%Hi6 hs56hs5hs56jh0h0EHUjG h0CJUVaJh0 hs5h{:Mh%Hi hs5hs5hlW^jh0Ujh0h0EHU!**;++,a,E-U-o.p..j dh$Ifgd+xl\y$ hdh^ha$gd+x$ & F$ dha$gd%Hi$ dha$gd+x $dha$gd%Hi$ @@dha$gd%Hi$ & F dha$gd%Hi$ dha$gd%Hi ,,,,,,,,-$-@-A-B-C-D-E-M-T-U-r-s-|-}------L.l.n.o.p.q..........ǿ߻߳{sh ph p5 hmro5jhU,jJ h5B*CJUV\aJphh pjh pUhqTh.Rh$Ehh$hJ}hi`5hJ}h$E5hJ}hJ}5hJ}h6h%HihlW^ huwh$Ehuw huwh{:M huwhi`*.....ZF$ hdh^ha$gd+xDkd*$$Ifl t644 lap  dh$Ifgd+xlDkd$$Ifl t644 lap ...........// /2/3///////001020304060>0@0A0Z0[0\0ļĴħĕzrme`Y h ph p h p5h ph p5 hW5jhU,jJ h5B*CJUV\aJphh pjh pUjh$EHUj;B h$CJUVjh$Uh{:Mh$6h$hh6hhWhxzh phqT5 hmro5hqT h?hqTjh?h?U"... / /?Dkd?$$Ifl t644 lap  dh$Ifgd+xlDkd$$Ifl t644 lap  dh$Ifgd+xl\y //005060[0cF @dh$Ifgd+xl\Dkdr$$Ifl t644 lap  @dh$Ifgd+xl'$ @dha$gd+x$ & F$ dha$gd+x$ hdh^ha$gd+x[0\0]0001111ffNN$ @@dh$Ifa$gd+x$ @@0dh^`0a$gd+x$ @@dha$gd+x$ & F$ dha$gdxz$ @dha$gd+xDkd$$Ifl t644 lap \00000000000000000001;1<11111111111111111112}pfjh$EHUjM;B h$CJUVjh$EHUj;B h$CJUVjh$EHUj;B h$CJUVh.Rh$6ha?jh$EHUj;B h$CJUVh>i=j`h$EHUj;B h$CJUVjh$U h$6]h{:Mh$(11111111Bkd$$IfTl\\ L$ t0644 laT$ @@dh$Ifa$gd+x1111111111111122!2)21282$ @@dh$Ifa$gd+x222222c2d2f2222233y3|3331444@4A4v4y4+5.5W5_555555555555555xkj hs5h.REHUj(G h.RCJUVaJjhs5h.REHUjG h.RCJUVaJjhs5hs5U hs5h$h{:M hs5h{:M hs5hs5hs5hs55 h%Hi5hxzh.Rjh$EHUj;B h$CJUVh$jh$U*8292:22Z?,$ @@dha$gdxz$ @@`dh^``a$gd+xkd=$$IfTl\\ L$ t0644 laT222M6N6v66h8899:E;;;<<:<<<<`=~== >m>?$ & F"dha$gd+x $dha$gd+x5I6J6L6N6v6w66666666667771727374787q7r7w7x7y7{777777777778g8h8i8ּ֥֔ŀ{vvҀrh;i h%Hi6 hxz6hxzhGh%Hihxzh4JQ6h4JQj# hHh4JQEHUj_$J h4JQCJUVaJjhHU ha?y(ha? h>i=6h>i=h>i=6h>i=hHjh;iUmHnHu hH5hth.Rh{:M hs5hs5+i8j8}8~8888888888888888888889#9$9798999:9h9i9|9Ȼwh[wwjhtUhtUEHUjjJ htUCJUVaJjhtUUhtUjh>i=h>i=EHUjJ h>i=CJUVaJj.h>i=h>i=EHUjJ h>i=CJUVaJj&h>i=h>i=EHUjJ h>i=CJUVaJjmh>i=h>i=EHUj J h>i=CJUVaJh>i=jh>i=U!|9}9~99999999999999999::8:9:L:M:N:O:U:V:i:j:k:l::::פדׄwh[j"htUhtUEHUjJ htUCJUVaJj htUhtUEHUjJ htUCJUVaJh5jyhtUhtUEHUjJ htUCJUVaJjhtUhX4EHUjNJ hX4CJUVaJh;ih%HihtUjhtUUjhtUhX4EHUjJ hX4CJUVaJ#::::::::::::::;;;;(;);-;.;A;B;C;D;E;N;;;;;Ȼxkf_XfTh:] h>i=h:] h:]h:] h:]5j=,h5h;iEHUj#J h;iCJUVaJh;ih;i6h;ijI*htUh5EHUjJ h5CJUVaJjh5Uh5j'htUh5EHUjJ h5CJUVaJj%htUh5EHUjpJ h5CJUVaJhtUjhtUU;;<<<<<<<< <"<#<6<7<8<9<:<@<A<T<U<V<W<h<n<<<<<<<<</?0?C?􉁉}xtltjhQnUhQn hQn5hih%HihH_6hH_j4h:]hH_EHUj.J hH_CJUVaJhtj1h:]h:]EHUj8.J h:]CJUVaJ h:]h:]j/h:]h:]EHUj-J h:]CJUVaJjh:]Uh;ih:]ha?$C?D?E?F?K?L?_?`?a?b??????? @ @ @@@ @!@@@@@@@@@@fBgBȻ׬ۛ׌ۛ{l_Z hQn5j/@hjXhySEHUjgJ hySCJUVaJhySj=hjXhX4EHUj>J hX4CJUVaJhX4j:hjXhX4EHUj&J hX4CJUVaJj8hjXhQnEHUjJ hQnCJUVaJhQnjhQnUj~6hjXhQnEHUjJ hQnCJUVaJ!? @@AfBgBBBBC:CZCCCCD?DiDDDDEE!EJEsEEEE $dha$gd+xgBpBrBBBBBBCACBCUCVCWCXCgChC{C|C}C~CCCCCCCCCCCCCCCDDD˾sfjJhuwhQnEHUjeJ hQnCJUVaJjgGhYysh.EHUj4J h.CJUVaJh%HijEhuwhQnEHUjdJ hQnCJUVaJjUBhO hQnEHUj[J hQnCJUVaJjhQnUh%HihQn6h+xhQn hQn5hO hQn5%DDDD'D(D;DDQDRDeDfDgDhD{D|DDDDDDDDDDDDDDDȻ׬אtgXj"gJ hQnCJUVaJj.VhO hQnEHUj[J hQnCJUVaJjThbhQnEHUjfJ hQnCJUVaJj?QhbhQnEHUjfJ hQnCJUVaJjNhuwhQnEHUjWfJ hQnCJUVaJhQnjhQnUjlLhuwhQnEHUj0fJ hQnCJUVaJDDDDDEEEEEE E EEEE E2E3EFEGEHEIE[E\EoEpEqErEEEEEEF(FRF淪曎rnid`\`hChi hi5 hQn5h%HijchGjhQnEHUj iJ hQnCJUVaJj`hbhQnEHUjhJ hQnCJUVaJj]hbhQnEHUjthJ hQnCJUVaJhYysja[hbhQnEHUjSgJ hQnCJUVaJhQnjhQnUjXhbhQnEHU$RF^FFFFFFFFFFFGGGGGG G!G4G5G6G7GPGQGRGSGfGgGhGiGGGGGGGtej J hu7CJUVaJjPlhu7hT5EHUjzJ hT5CJUVaJh;ijFjhu7hu7EHUj6J hu7CJUVaJjghu7hu7EHUjJ hu7CJUVaJjehu7hu7EHUjJ hu7CJUVaJjhu7Uhu7h+xhihC%EQGG,HtHuHII J-JTJlJJJKWKKKLL4LLLLLL$dh^a$gd|!$dh`a$gdu $dha$gd+xGGGGGGGGGHH(H)H*H+H,H-H.HAHBHCHDHtHuHHIIIIIIIIIII滮曎抅yj]yj yhGjhGjEHUjjJ hGjCJUVaJjhGjUh1 hGj5hGjjuhu7huEHUjrJ huCJUVaJh;ijshu7hu7EHUjJ hu7CJUVaJjkqhu7hu7EHUj2J hu7CJUVaJhu7jhu7Ujaohu7hu7EHU#IIIJJJ JJJ&J'J(J)J-J:Je?eWeXepeqeeeeeeeeeeeegdKgdyddddddde e e e e ee!e"e#e$e%e&e'e:e;ee?e@eSeTeUeVeWeXeķר׌wsdWwsjhQh;iEHUjJ h;iCJUVaJha?jha?UjhphhyEHUjJ hyCJUVaJjNhphhyEHUjJ hyCJUVaJjhphhyEHUjJ hyCJUVaJh]hyjhyUjhphhyEHUjMJ hyCJUVaJ!XeYelemeneoepeqereeeeeeeeeeeeeeeeeeeeeeeeeeeeķpcj!h&Jhi.EHUjDJ hi.CJUVaJjh&Jhi.EHUjEJ hi.CJUVaJj h&Jhi.EHUjFJ hi.CJUVaJj"h&Jhi.EHUjGJ hi.CJUVaJh]j h&Jhi.EHUjHJ hi.CJUVaJhi.jhi.U#eeeeeeeeeeeeeeeeeeeeeeeeeeeeefffffff f f f f fffffffĸĸĸ hs5h$hhCh56CJaJ&hCh556B*CJ\aJph hC56B*CJ\aJphh]h5h5B*OJQJ^Jph.eeeeeeeeeeeeeeeeffff f f f fffff $dha$gd+x21h:p-W/ =!p"#p$% `!O,0&O* `\XJxcdd``ed``baV d,FYzP1n:&,B@?b X ㆪaM,,He` @201d++&1t\> ?L 4AHq50~`iլt|_bcd>`kX 0Bb$_{O%?䂆*8ށ;WLLJ% wA0u(2t5B ~dk9`!OdH(k遚?* XJxcdd``ed``baV d,FYzP1n:&,B@?b 00 UXRY7S?&,e`abM-VK-WMcX|"+|-_Ývh(.P56j`aiլ@|8߄רا<@+AFU>IFS **ywa*#RpeqIj.}= @ ]` "j"`!R= l'e/=,*@| xcdd``ed``baV d,FYzP1n:&! KA?H1Z, πqC0&dT20$ KXB2sSRs:V~. _˛<2Usi#M 0Cu|_b}$?}7/cH 07 dB%?䂆*8 Sv0o8+KRs<@0u(2t5B ~dg`!O.)S9ԗi@ |Uxcdd``ed``baV d,FYzP1n:&6! KA?H1Zl πqC0&dT20$ KXB2sSRs:V~. _˟paF\ gXAZ5+awL okTBSO} N`{ +a,&=L@(\NAasd.ܞߌ>='lOܞZF=I'T40.bP 䂦.pJG40y{iI)$5aE.Yݏ`ϙ!`!RJ:*bra*@| xcdd``ed``baV d,FYzP1n:&,B@?b 00< UXRY7S?&,e`abM-VK-WMcX|"+|-™h(.P56j`aiլŘ@|8߄רاf#I12p{02Lȫ!|t1/=p `TTrAC ;WLLJ% A0u(2t5B ~d,Qk7`!TkeJ/OC-`0"xcdd``~$d@9`,&FF(`T)i A?df>znĒʂT/&`b]F"LQ @,a ˇL *'] ZZбsD V0Z3Mb&#.#@:+*a8|P0@penR~0$f:|a>ж s.p0M%'#RpeqIj..\E.Y]L8P`!`*A~٬R7:Hxcdd`` @c112BYL%bpu W+cF\ X@Z5+ae F%$? n&? Ώc++ R I9 J\Oq b/#m+ippAPF&&\u s:@Dsat?2kf4`!Rir5l;* xcdd``ed``baV d,FYzP1n:LX,56~) @ k/`a`p熪aM,,He`7S?&,e`abM-VK-WMcX|"+|-?h(.P56j`aiլŘ@|8߄רاf#I12p{jA&U>IFNS **ypAT+F&&\ {:@ą ~dke`!qHx4JXWr \xcdd``.dd``baV d,FYzP1n:lB@?b 10@0&dT20| @201d++&1t\> ?OȠ TN0gi5@|+(9|=cTbgd`Y 2°gDg<͌oa K80@penR~הp2b'ܿ|[ {) pLWY&M \vhZ``#RpeqIj.? @ ] UÀ, e`!N7^&0M?*hxcdd``ed``baV d,FYzP1n:,B@?b 깡jx|K2B* Rvfjv ,L ! ~ Ay +?OblJi@Ct9W Hf%/& F%>?u`daT 2Bb$_{;O%?䂆*8ށ;WLLJ% {:@ą ~disc`!R|vE";* xcdd``ed``baV d,FYzP1n:L ,B@?b X܀깡jx|K2B* R& KXB2sSRs:V~. _˕2Usi#M 0Cu|_b}$?u`rۛY 1Bb$_{2 `TTrAC ;WLLJ% {:@ą ~de`!phD3#藚SOM@8 >xcdd``vdd``baV d,FYzP1n:LlB@?b cc`p熪aM,,He`7S?&,e`abM-VK-WMcX|"+|-WRN fF\ = 0Mf_b$?q`ۓY s1B`${)eP0?ip~_Y%P 27)?AJaCa"rJ.hlqc-и``#RpeqIj.C0\E. Xݏ`w`!O4,^ZG* XJxcdd``ed``baV d,FYzP1n:&! KA?H1Z, ǀqC0&dT20 KXB2sSRs:V~. _˿s eF\ AZ5+a`& F%>?}hװOaH 07 dB%?䂆*8ށ;WLLJ% {:@ąB ~d|iDd b  c $A? ?3"`?2iPu!s(EDK `!=Pu!s( @L" xcdd``ef``baV d,FYzP1n:&1! KA?H1D>ᆪaM,,He`x7׿g`7LY \0]Î%-iX u9W-'+HF%!Is]m#drND;!2U#ڽHqdˀ۽ >LQ< #V> =|lm%‡OJ_&EvTy6&dw #$37X/\!(?71H`xoܿ`~&0* 3RfT*X6T(EK0W xC_ sW@`l鍂 2jNFwQ&,r\y,鑢[PR>@L=䂖\l- @\6321)W2ԡ"|b@f~hCDd b  c $A? ?3"`?2 PCUQ\!txcK `!PCUQ\!tx> @Fxڥ=KAg.1w j )"ZDbbi'‰Ba"XX+?F 9w6~02; @EqA 3!ccyFX\aF/Q !%C;1n4Qr`z127s+’gǰ#u  FRf@:l.m&̧T5 0+u^L&{-֩tě4ǂy(Vp-Ê[~`ZN{!. Xx0ޚv [h|Z^ܪd'onR:oγ Ud}.;>7#D/csŠKsSm)Qw^_olqB}@T,TǙ5Y SDd b  c $A? ?3"`?2_Sd.} G,;%K `!3Sd.} G, Hxcdd`` @c112BYL%bpubY޲Usi#.Fy{+p]6b@vF&&\y @ ]` {> 1@`2`7nDd b  c $A? ?3"`?2qꦡaYpyyJN{g K `!qꦡaYpyyJN{V@`0= PxڝSKA~f]s`k蔑 \F Ν#8)}G0(>O?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~]Root Entry F0*ڲ&Data )WordDocument.ObjectPool6@g0*ڲ_1202288138F@g@gOle CompObjfObjInfo  #&),/49<?BEJOTY^chmpsvy~ FMicrosoft Equation 3.0 DS Equation Equation.39q)n S r =y i "2y  i () 2i=1n " =y i "f(x i )() 2iEquation Native _1202288145 F@g@gOle  CompObj f=1n " FMicrosoft Equation 3.0 DS Equation Equation.39qy S t =y i "2y() 2i=1n "ObjInfo Equation Native  _1253625953NF@g@gOle  FMicrosoft Equation 3.0 DS Equation Equation.39q*` 'y ^  i FMicrosoft Equation 3.0 DS EqCompObjfObjInfoEquation Native F_1202288319F@g@jOle CompObjfObjInfoEquation Native )uation Equation.39q h6  FMicrosoft Equation 3.0 DS Equation Equation.39qA\ = S _1202289750 "F@j@jOle CompObjfObjInfoEquation Native ]_1202289789F@j@jOle !CompObj "ft n"1  FMicrosoft Equation 3.0 DS Equation Equation.39qWPkD s y/x = S r n"m ObjInfo!$Equation Native %s_12022901051$F@j@jOle 'CompObj#%(fObjInfo&*Equation Native +Y_1190719694@)F0s0s FMicrosoft Equation 3.0 DS Equation Equation.39q=t y=a 0 +a 1 x FMicrosoft Equation 3.0 DS Equation Equation.39qOle -CompObj(*.fObjInfo+0Equation Native 16-؜ a 0 FMicrosoft Equation 3.0 DS Equation Equation.39q- a 1_1190719706.F0s0sOle 2CompObj-/3fObjInfo05Equation Native 66_12022901123F@tl@tlOle 7CompObj248f FMicrosoft Equation 3.0 DS Equation Equation.39qF@ y=a 0 e a 1 x FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo5:Equation Native ;b_1202290146X8F@tl@tlOle =CompObj79>fObjInfo:@Equation Native A_1190720823,=F@tl@tldTu y=a 0 +a 1 x+a 2 x 2 FMicrosoft Equation 3.0 DS Equation Equation.39q-@ _ a 2Ole CCompObj<>DfObjInfo?FEquation Native G6_1191830481;JBF@tl@tlOle HCompObjACIfObjInfoDK FMicrosoft Equation 3.0 DS Equation Equation.39q;< S R FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native L6_1191830664GF@tl0nOle MCompObjFHNfObjInfoIPEquation Native Q6_1191830680EOLF0n0nOle R@I S T FMicrosoft Equation 3.0 DS Equation Equation.39q `t% yCompObjKMSfObjInfoNUEquation Native V)_1191830698QF0n0nOle WCompObjPRXfObjInfoSZEquation Native [) FMicrosoft Equation 3.0 DS Equation Equation.39q  x FMicrosoft Equation 3.0 DS Equation Equation.39q_1191830713'VF0n0nOle \CompObjUW]fObjInfoX_Equation Native `6_1191830743[F0n0nOle aCompObjZ\bf S R FMicrosoft Equation 3.0 DS Equation Equation.39q _ y FMicrosoft Equation 3.0 DS EqObjInfo]dEquation Native e)_1191830755Yq`F0n0nOle fCompObj_agfObjInfobiEquation Native j)_1202290208eF0n0/quation Equation.39q 't% x FMicrosoft Equation 3.0 DS Equation Equation.39q@tX S t "Ole kCompObjdflfObjInfognEquation Native o\S r () FMicrosoft Equation 3.0 DS Equation Equation.39q* S t ()_1202290215cmjF0/q0/qOle qCompObjikrfObjInfoltEquation Native uF_1202290622oF0/q0/qOle wCompObjnpxf FMicrosoft Equation 3.0 DS Equation Equation.39q r 2 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoqzEquation Native {6_1202290629h|tF0/q0/qOle |CompObjsu}fObjInfovEquation Native }_1202290634yF0/q0/qah r 2 =S t "S r S t FMicrosoft Equation 3.0 DS Equation Equation.39qy(?< r= r 2 = S t "S r SOle CompObjxzfObjInfo{Equation Native  t FMicrosoft Equation 3.0 DS Equation Equation.39q @D r FMicrosoft Equation 3.0 DS Eq_1202290648w~F0/q0/qOle CompObj}fObjInfoEquation Native )_1202290656F0/q0/qOle CompObjfuation Equation.39q(5 r 2 FMicrosoft Equation 3.0 DS Equation Equation.39q+ 0d"r 2 dObjInfoEquation Native 6_1202290666rF0/q0sOle CompObjfObjInfoEquation Native G_1111209904F0s0s"1 FMicrosoft Equation 3.0 DS Equation Equation.39q"H   y=x 2 FMicrosoft Equation 3.0 DS EqOle CompObjfObjInfoEquation Native >_1111209940F0s0sOle CompObjfObjInfouation Equation.39q=( y=a 0 +a 1 x FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native Y_1111210138F0s0sOle CompObjfObjInfoEquation Native Y_1111210172F0s uOle =   y=a 0 +a 1 x FMicrosoft Equation 3.0 DS Equation Equation.39qKh a 0 =y"a 1 xCompObjfObjInfoEquation Native g_1111210224F u uOle CompObjfObjInfoEquation Native 1 FMicrosoft Equation 3.0 DS Equation Equation.39q i n=5 FMicrosoft Equation 3.0 DS Equation Equation.39q_1202290376F u uOle CompObjfObjInfo&1 x i y i =x i y ii=15 " i=1n " =11+749+13169+19361+25625=25025Equation Native B_1111210406F u uOle CompObjf FMicrosoft Equation 3.0 DS Equation Equation.39q o x i2 =x i2i=15 " i=1n " =1 2 +7 2 +13 2 +19 2 +25 2 =1205ObjInfoEquation Native &_1111211997F u uOle  FMicrosoft Equation 3.0 DS Equation Equation.39q  y i =y ii=15 " i=1n " =1+49+169+361+625=1205CompObjfObjInfoEquation Native _1111212084F u uOle CompObjfObjInfoEquation Native  FMicrosoft Equation 3.0 DS Equation Equation.39q8"d y i =x ii=15 " i=1n " =1+7+13+19+25=65_1191990542F u [xOle CompObjfObjInfo FMicrosoft Equation 3.0 DS Equation Equation.39q a 1 =nx i y ii=1n " "Equation Native 5_1191991425vF [x [xOle CompObjfx ii=1n " y ii=1n " nx i2i=1n " "x ii=1n " () 2 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoEquation Native x_1111212203F [x [xOle \T a 0 ='y _ "a 1 'x _ FMicrosoft Equation 3.0 DS Equation Equation.39qPd a 1 =CompObjfObjInfoEquation Native _1111212277F [x [x525025()"65()1205()51205()"65() 2 FMicrosoft Equation 3.0 DS Equation Equation.39qM< =26Ole CompObjfObjInfoEquation Native 1_1111212312F [x [xOle CompObjfObjInfo FMicrosoft Equation 3.0 DS Equation Equation.39qK̰ a 0 =y"a 1 x FMicrosoft Equation 3.0 DS EqEquation Native g_1111212425F [x [xOle CompObjf  "%&),-0347:;<?BEHKNQTWZ[\_diloruxyz}uation Equation.39qKP =12055"26655 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoEquation Native g_1111212456F [x [xOle CompObjfObjInfoEquation Native g_1111212485F [x zK =241()"2613() FMicrosoft Equation 3.0 DS Equation Equation.39q Z ="97Ole  CompObj fObjInfo Equation Native 5_1111325535F z zOle CompObjfObjInfo@A      !"#$%&'()*+,-./0123456789:;<=>?BCDFEGHIKJLNMOPQRSVTUWXY[Z\^_a`bcdfegihjklnmoqprtsuwvxzy{}|~ FMicrosoft Equation 3.0 DS Equation Equation.39q:=Xg y=a 0 +a 1 x FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native Y_1111212532F z zOle CompObjfObjInfoEquation Native I_1111212724!F z zOle -  y="97+26x FMicrosoft Equation 3.0 DS Equation Equation.39q  S tCompObjfObjInfoEquation Native 6_1111212749F z}Ole  CompObj!fObjInfo#Equation Native $ FMicrosoft Equation 3.0 DS Equation Equation.39q|Ԑ S t =y i "y() 2i=1n "b   c $A? ?3"`?2Blƪ.SºK `!Blƪ.Sº> `%PxڥRJAsgZM .Z|@ؠ&bq:6V"X? kT څDlt`ܳgX0DM`PPؗĢ@a_6CJ@g>bИ$܁F=;EH2km\t+г>=1sѡ{}zaVtD$kq.'RMϭ5k^ ק捸ly<^jTGzJ|9"y[ @c112BYL%bpu;vPHp021)W2xePdh,s;.Ff GM Dd Tb   c $A ? ?3"`? 2T{?6d<64A$0K `!({?6d<64A$ XJxcdd``> @c112BYL%bpu;vPHp021)W2ȀePdh,s;.Ff CL[Dd |b   c $A ? ?3"`? 2W"æwŚV* K `!yW"æwŚV*@`8 0Gxcdd``Ned``baV d,FYzP1n:&6! KA?H1 10HsC0&dT20$ͤ `[YB2sSRsv,\~ J]e*F\:XA:+*a, ~b%?Y67Od+&@ 2Bdϰ=(S 3p%I9 _4> :8e sP =Ĥ\Y\pd.P"CX,Āf~2 Dd hb  c $A? ?3"`? 2T;օ炅-690fK `!(;օ炅-69@H|xcdd``> @c112BYL%bpu;vPHp021)W2xePdh,s;.Ff GM Dd Tb  c $A ? ?3"`? 2T{?6d<64A$0pK `!({?6d<64A$ XJxcdd``> @c112BYL%bpu;vPHp021)W2ȀePdh,s;.Ff CLfDd l|b  c $A ? ?3"`?2U>xhh±nZBCzK `!U>xhh±nZBC `Xh0Rxcdd``ved``baV d,FYzP1n:B@?b p30sC0&dT20$ͤ KXB2sSRsv,\~ ?THfF\_AZ*!|휨|K6/g *!7H  @&TT8@D80|+Z&T~"_NP\ռpc #İ!a[5.p̂g"{iI)$5!d/P"CXY=̘)v Dd hb  c $A? ?3"`?2T;օ炅-690!K `!(;օ炅-69@H|xcdd``> @c112BYL%bpu;vPHp021)W2xePdh,s;.Ff GM Dd Tb  c $A ? ?3"`?2T{?6d<64A$0#K `!({?6d<64A$ XJxcdd``> @c112BYL%bpu;vPHp021)W2ȀePdh,s;.Ff CL Dd Tb  c $A ? ?3"`?2So/ObK<>E/%K `!'o/ObK<>E HXJxcdd``> @c112BYL%bpu @c112BYL%bpu @c112BYL%bpuU.r-b ,K `!U.r-b :`!xcdd`` @c112BYL%bpu @c112BYL%bpuAAB/@1K `!AAB/@:`!xcdd`` @c112BYL%bpu=$!ei`d[e.pJ`K`8021)W2hePdk{> 1"n>Dd hb  c $A? ?3"`?2fcż$]e-\d:8K `!\fcż$]e-\B@|*xcdd``Vdd``baV d,FYzP1n:&LB@?b j ㆪaM,,He`H3&,ebabMa`wÎ%},i,@@@ڈєUy\Wq? 2Bj Q! ~ Ay8 1j& %Psg.{7! \aK@LLJ% s: @> 1,/t Dd ,b  c $A? ?3"`?2U5,O1x:K `!)5,Oxcdd``> @c112BYL%bpu 1,LluDd b  c $A? ?3"`?2IztK `!A0hFJ2VB ` .`\xڥSA+DQ>kƼyEc$=VHSVRNQ42dSȂ )vX+E(Q{yMpӻN(hZuz'0P?yzE%CUS:5@+x$F::۱56Ε'ן ZZ=kq&s ND+|VֹF[YXq<ƙ{W<1w7f,QϜkv "ŦmBRPr gb8 G/ Jy}hkD 2.nNA=S 3 }Ďŗ񟸊[g_UƵ}G}e f}gZ6ݷ'NAK `!}gZ6ݷ'N: @Ƚxcdd`` @c112BYL%bpu @c112BYL%bpu7MNHq-` ci5@|J 3DdQ%w3 Ma`P*9P!22b1~>=cȄJ.hlpc ,и cF&&\= @ ] @2HvҒ$$If!vh55@#v#v@:V l t06,5T$$If!vh55@#v#v@:V l t06,5TDdD  3 @@"?u$$If!vh50!#v0!:Vl t065!u$$If!vh50!#v0!:Vl t065!Dd h\ # c $A? ?#" `"2mR3c|"G9v<IJK `!AR3c|"G9v<@@|xcdd`` @c112BYL%bpu @c112BYL%bpu;vPHp021)W2xePdh,s;.Ff GM Dd Tb & c $A ? ?3"`?%2T{?6d<64A$0QK `!({?6d<64A$ XJxcdd``> @c112BYL%bpu;vPHp021)W2ȀePdh,s;.Ff CL8Dd h\ ' c $A? ?#" `&2#}h [q/@HdSK `!\#}h [q/@H:@x |*xcdd``ed``baV d,FYzP1n:&B@?b  ㆪaM,,He`H 01d++&1{~-Č`u ,@RF\ @20$V?ʏc++!+@`0kA|Jt+ssl\qb#ܿ9, pTCζ \[;F&&\, []VDd \ ( c $A? ?#" `'2^^N"3[RUK `!z^^N"3[z4 hHxcdd``e 2 ĜL0##0KQ* W]RcgbR vNznĒʂT/&`b]F"LQ > 0%{rofabM-VK-WMcZ> 07: $SQ p~3_ [1@!+@L` L.`wV`TE@(\PՊ˟{aЅ ķ8&!@``㞑I)$5Q k_Dd 0\ ) c $A ? ?#" `(2_l8]yT3=4;WK `!3l8]yT3=4kHxcdd`` @c112BYL%bpu.[7,@F<% |,}ćG < ?{)JO?ɃۓglLO9Q8Pl,L>zzd$@O`wT8W̨Ly.h.Z:K=RI)$5P"|b@Sf~UDd p\ + c $A"? ?#" `*2? l_0'O3\K `! l_0'O3@-xڥ9KA߼XIFd !j-( bmm,Vb%F;xs쎻!G${fv< ttВS"hH~~L F*us vJR ~;/XRp!'ҩLd,/`u>Iw(o/Z;&GfK~jd8xb'$_ #*$*E2lcz&'ׇN\QtBl}<áʸ_nL?OE9{?eG=)ϳ d8IR|'A~VyV~`ͼ'4~("w,76-a!:І,?I8f0 :upXdIm !rnñD9`U.DXs͇E`RU9;'| ew%pu?~{!_6[ԣ*r/8|Z5t~nX8k |~_ek?g1g82;< ϭO@B1D]d~3 벻,Dd \ - c $A$? ?#" `,2Jh{B 3BGbK `!Jh{B 3BG@P%xcdd``veb``baV d,FYzP1n:&B@?b 30|dꁪaM,,He`x7S?&,e`abM-VK-WMcZ>  X.@N23A|#8F7[x|cd9_O?yc|lȈd/vV&^paBܤr&.C\>, pp?*ŅO@5o3qܭdRclcD\g>̀AHQb8 'nO1 "02A郑|>.TTSlO14rs6 `pYĤ\Y\ te[0 WReDd < b . c $A%? ?3"`?-2|ƕ4,eK `!|ƕ4,` Hb QxڕkA߼=4KXC TV۫B/I hSMBKux 9DEBT T"f_΄(vlgwf{;VG_,$DY$Q2.Dfafssp.CfhZ>4!/TgA9_6%"}fxHe=B4P,.Tn..ʋ,&Z?FCXg{5 &siO%7ΧR.:XY߱ZQGgpFdݮ?_4n@}=xq{"yKxҕ=?z_ROWsIqw ^ދ U^wk[q]hePwM|{ѹc]ɚƕ=ɸn3yވoESnft}/{?rMuK_oݞ嘪NIE7mdx6D%xyRD(<b~kaό%N"WDd b / c $A&? ?3"`?.2o4bl1ߒl6}hK `!uo4bl1ߒl6Z 4 CxڕQJ@};I BR= G/zP1VhAkSY oɪ~audU_ѧֽޯi|>;(>ter:D^}oW X'FIJǓv30z D#kg^_-437\pDd < \ 0 c $A'? ?#" `/2FE^g ".9"BkK `!E^g ".9v`@Hbxڥ;KPϽ$CQ(5E7: } %@G| ~ nv)A=&UFS9s{sl q~4(!AD"%]DgҙXjQS+tf5?\<:cbvgcrj+ },JZkf@3J$—pmH7JY͘o{Sa "o2/xӪD$SU޴wA5%+#.^\ɈĻ[5%/*L @c112BYL%bpu X.AN22b W&0;|5y`V f\Ps}KF&&\,>5VDd \ 2 c $A)? ?#" `12dw<\pg=8pK `!zdw<\pg=z4 hHxcdd``e 2 ĜL0##0KQ* W]RcgbR vNznĒʂT/&`b]F"LQ > 0%{rofabM-VK-WMcZ> 07: $SQ p~3_ [1@!+@L` L.`wV`TE@(\PO=Lp氀TVrAc S v 0y{qĤ\Y\ qAc(\~d^#ODd l\ 3 c $A*? ?#" `22A-Z֦|{rK `!sA-Z֦|$ (Axcdd``b 2 ĜL0##0KQ* W􀹁SRcgbR vТ@=P5< %!@5 @_L ĺE*A,a &&f rof01d++&1{~-` P{q0 rdL+!<- /B LXA|#3L`fP  LRܤr?;Wv1p%0b5@|[#.hxrb nv0o8+KRsA<.h3MA L4jKSDd T\ 4 c $A+? ?#" `32<]W/yjbytK `!w<]W/yjby$ XJExcdd`` @c112BYL%bpuj` ]ߊķ5Ⴆ'.p[NLLJ% H  53XpDd \ 5 c $A,? ?#" `42X+Di_s40wK `!,+Di_s@2Hxcdd`` @c112BYL%bpu X.]@N4b W&0;Rظ? []sߊķ5 c)=0bdbR ,.I@X`/?&Dd hJ 6 C A-? "52=Q:F` ݻQd8yK `!\=Q:F` ݻQ:@x |*xcdd``ed``baV d,FYzP1n:&B@?b  ㆪaM,,He`H 01d++&1RČ`u ,@RF\ @20$V?ʏc++!+@`0kA|Jt+ssٸtqb#ܿ9, pTCζ \[;F&&\, [-Dd @\ 7 c $A.? ?#" `62}wrc AFM 8Y^{K `!Qwrc AFM 8*  xcdd``ed``baV d,FYzP1n:&B@?b u p00 UXRY7S?&meabM-VK-WMcZ> X.4+$SQ 13d>#dOFf0~3oiPW&0;6q=p{XA*a L ._)[s.hrCb*- `p\121)Wx ],`YF(gf8ZTDd h\  c $A? ?#" `72@ HE?M\}K `! HE?M\@|xcdd``> @c112BYL%bpufObjInfo@Equation Native AA% X,] =261504 FMicrosoft Equation 3.0 DS Equation Equation.39qAH= , = S _1111214763 F}}Ole CCompObj  DfObjInfo FEquation Native G]_1111214810F}Ole ICompObjJft n"1  FMicrosoft Equation 3.0 DS Equation Equation.39q?H4L!  2615045"1 ObjInfoLEquation Native M[_1111214837 FOle OCompObjPfObjInfoREquation Native SA_11112259050F FMicrosoft Equation 3.0 DS Equation Equation.39q%<d8 =255.68 FMicrosoft Equation 3.0 DS Equation Equation.39qOle UCompObjVfObjInfoXEquation Native Y+| S r =y i "a 0 "a 1 x i () 2i=1n " FMicrosoft Equation 3.0 DS Equation Equation.39q_1111215028FOle ]CompObj^fObjInfo `0 x i FMicrosoft Equation 3.0 DS Equation Equation.39q y iEquation Native a6_1111215043:#FOle bCompObj"$cfObjInfo%eEquation Native f6_1111215056(FOle gCompObj')hfObjInfo*jEquation Native k^_1111215080&5-Fс FMicrosoft Equation 3.0 DS Equation Equation.39qB a 0 +a 1 x i FMicrosoft Equation 3.0 DS Equation Equation.39qOle mCompObj,.nfObjInfo/pEquation Native qtX y i "a 0 "a 1 x i FMicrosoft Equation 3.0 DS Equation Equation.39qq S r =_11112259172FссOle sCompObj13tfObjInfo4vEquation Native w_11112158447FссOle {CompObj68|fy i "a 0 "a 1 x i () 2i=15 " FMicrosoft Equation 3.0 DS Equation Equation.39q =72()ObjInfo9~Equation Native _1111215952+I<FссOle  2 +"36() 2 +"72() 2 +"36() 2 +72() 2 FMicrosoft Equation 3.0 DS Equation Equation.39q! =18144CompObj;=fObjInfo>Equation Native =_1111225934AFссOle CompObj@BfObjInfoCEquation Native s FMicrosoft Equation 3.0 DS Equation Equation.39qWzr s y/x = S r n"2  FMicrosoft Equation 3.0 DS Eq_1111216049FFссOle CompObjEGfObjInfoHuation Equation.39q?H = 181445"2  FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native [_1111216074DNKFсBOle CompObjJLfObjInfoMEquation Native =_1111216187PFBBOle !@,| =77.77 FMicrosoft Equation 3.0 DS Equation Equation.39q1Pd y="97+26x.CompObjOQfObjInfoREquation Native M_1111225988UFBBOle CompObjTVfObjInfoWEquation Native } FMicrosoft Equation 3.0 DS Equation Equation.39qa- r 2 =S t "S r S t FMicrosoft Equation 3.0 DS Equation Equation.39q_1111216513TZFBBOle CompObjY[fObjInfo\^H   =261504"18144261504 FMicrosoft Equation 3.0 DS Equation Equation.39q%X =0.9306Equation Native z_1111216540_FBBOle CompObj^`fObjInfoaEquation Native A_1111216582]dFBBOle  FMicrosoft Equation 3.0 DS Equation Equation.39q-i y="97+26xCompObjcefObjInfofEquation Native I_1202291215iFOle CompObjhjfObjInfokEquation Native 6 FMicrosoft Equation 3.0 DS Equation Equation.39qxTn r 2 FMicrosoft Equation 3.0 DS Equation Equation.39q_1202291224+nFmmOle CompObjmofObjInfopEquation Native 6_1191833214sFOle CompObjrtfxTn r 2 FMicrosoft Equation 3.0 DS Equation Equation.39q  n"1 FMicrosoft Equation 3.0 DS EqObjInfouEquation Native 1_1191833262^xFOle CompObjwyfObjInfozEquation Native )_1191833334}Fuation Equation.39q @9t: n FMicrosoft Equation 3.0 DS Equation Equation.39q x()Ole CompObj|~fObjInfoEquation Native 8_1191837413{FOle CompObjfObjInfo FMicrosoft Equation 3.0 DS Equation Equation.39q 'J x FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native )_1191837442FOle CompObjfObjInfoEquation Native )_1191837543FmOle  A|W x FMicrosoft Equation 3.0 DS Equation Equation.39q L xCompObjfObjInfoEquation Native )_1191837561FmmOle CompObjfObjInfoEquation Native )_?@ FMicrosoft Equation 3.0 DS Equation Equation.39q 0 y FMicrosoft Equation 3.0 DS Equation Equation.39q_1111226085FOle CompObjfObjInfoEquation Native _1253701266]!Fލ(Ole PRINTJ+ SR=y i "fx i () S r n"m  =y i "fx i ()s y/x !FMicrosoft Office Excel ChartBiff8Excel.Chart.89q): !   A   '' Arial- Arial-"SystemH8---- Arial----------Arial-----------'- @ --   !!---'--- @ L llLLH..HH---'---  !!---'--- 3a7---'--- 0^7- --  $uu---'---  0^7h8 $8SMh8}#h8S---'---  0^7 $'u---'---  0^7 $ss---'---  0^7. $.C..---'---  0^7---'---  3a7---'---  @ ---'---   !!---'---  LL---'---  IL- -  .---'-- - LL---'-- - @ --------'-- - l;} 2 My vs x))))-----'-- - @ ---'-- - @ ---'-- - @ --------------'-- - T-- 2  y = 26x - 97!'%% %% 2 RZ0- 2 2Z-2 1 = 0.9306'%%%%%-----'-- - @ ---'-- - @   2 -200%%% 2 cV0Z% 2  200%%% 2 D 400%%% 2  600%%% 2 $ 800%%%---'-- - @ ---'-- - @   2 0Z% 2 5Z% 2 10%% 2 15%% 2 20%% 2  25%% 2 #30%%---'-- - @ --------'-- - T  2 exZ%-----'-- - @ -------'-- - x  Arial- 2 yZ%------'-- - @ ---'-- - @ --    !!---' ' 'CompObjiObjInfoWorkbookmQSummaryInformation(Oh+'0HPdx  Autar Kaw sgarapatMicrosoft Excel@ⶱ@T^@ ՜.+,0p PXd lt| USF  \psgarapat Ba=@ = ~<X@"1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial"$"#,##0_);\("$"#,##0\)!"$"#,##0_);[Red]\("$"#,##0\)""$"#,##0.00_);\("$"#,##0.00\)'""$"#,##0.00_);[Red]\("$"#,##0.00\)7*2_("$"* #,##0_);_("$"* \(#,##0\);_("$"* "-"_);_(@_).))_(* #,##0_);_(* \(#,##0\);_(* "-"_);_(@_)?,:_("$"* #,##0.00_);_("$"* \(#,##0.00\);_("$"* "-"??_);_(@_)6+1_(* #,##0.00_);_(* \(#,##0.00\);_(* "-"??_);_(@_) 0.0000E+00 0.0000                + ) , *  " " " ! " `R Chart1j%Sheet1OSheet2zPSheet3a0c:a0cc:!a1c:a1c_zero:a1cc: avgg:avggc:n:syx:syxc:$"bZ  3  @@   a1ca0c predictedavggr^2sy/x scaled resStSrxyx*yx^2ErrorError^2y-ybary vs xn I y  M"\\brahma2.eng.usf.edu\me-eng20DS odXXLetterPRIV0''''\KhCjVIUPHdLetter [none] [none]Arial4Pd?SGARAPAT<Automatic>j i k k m m "dXX??3` >Y ` >Y ` >Y` >Y` >Y0?3d23 M NM4  3QQ ; Q ; Q3_ M NM   d4E4 3QQQQ3_ O NM  MM<4JK4D$% M3O&Q4$% M3O& Q4FA 3OI6 / 3*#M43*#M4% u o_M 3O &Q x'4% MZ3O &Q y'43d" 3_ M NM  MM<444% NM%3O'&Q y vs x'4% 2 r@M3O->$P   Q'44 e?@*@3@9@e?H@ e@v@@e>    dMbP?_*+%MHP LaserJet 1200 Series PCL 6 (?dXXLetter.HP LaserJet 1200 Series PCL 62%xeO.CQ]JoJʠNxt(v`0wyi{^묝}v 6=&-[.P(sE4e2NG,">ӝz H.DeC#4r5 u&Z* wFCH!J/LP_oDNRGh ܂S{&Q 6q3Y` >Y` >Y` >Y ` >Y 73d23 M NM4  3QQ ; Q ; Q3_4E4 3QQQQ3_ O NM  MM<4JK4D$% M3O&Q4$% M3O&Q4FA; 3OB; e 3*#M43*#M! M4% w1 cM3O & Q x'4% vMZ3O & Q y'4523  O43d" 3_ M NM  MM<444% KcM%3O$& Q y vs x'4% @M3O-3$P  Q'44 eee ~v  <NMM? +]X c  "X ??3` >Y ` >Y` >Y` >YPH 0(  83d 3QQ ;#Q ;#Q3_4E4D $% M3O& Q4$% M3O&Q4FA0n s3O: 3*#M43*#M4% U bUM3O &Q x'4% lNMZ3O &Q y'4523 O  f  d @"B  `43d" 3_ M NM  MM<444% iQM%3OI&Q  Residuals'44eee >@+ ++ 7   dMbP?_*+%" ??U>@7   dMbP?_*+%"??U>@7 DocumentSummaryInformation8_1111226052SF((Ole CompObjfSheet1Sheet2Sheet3Chart1a0ca0cca1c a1c_zeroa1ccavggavggcnsyxsyxc  WorksheetsCharts Named Ranges  FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoEquation Native _1253701265!F(Ole     #&'*-.16;>ADGLORW\adehknsx{~hpu y i "a 0 "a 1 x i () !FMicrosoft Office Excel ChartBiff8Excel.Chart.89qOh+'0HPRINT0CompObjiObjInfoWorkbookP*    )   '' Arial-Arial-"SystemH8---- Arial----------'- ( -'- ( - ,---$`  ``---''-$` ` `--``  `- -q$q$qZqZqq*q*q`q`    66   @@   --'--   !!--'--   Kp--'--   Kp-- -   $ss---'-- -   Kph $h}hSh---'-- -   Kpa $LavaL---'-- -   Kp $---'-- -   Kp@ $@sU@+@s---'-- -   Kp---'-- -   Kp---'-- -  ( --------'-- -  =O 2 RZ Residuals9,,00,,-----'-- -  ( ---'-- -  ( ----'-- -  (   2 a-80%% 2 -60%% 2 -40%% 2 2-20%% 2 .0u% 2 g 20%% 2  40%% 2  60%% 2 8 80%%---'-- -  ( ---'-- -  (   2 .s0u% 2 .5u% 2 .10%% 2 .j15%% 2 .20%% 2 .25%% 2 .t 30%%---'-- -  ( --------'-- -  0m  2 wxu%-----'-- -  ( -------'-- -  u  Arial- 2 yu%- -----'-- -  ( ---'-- -  ( - - -' ' '' \psgarapat Ba=j i k k m m "dXX??3` >Y ` >Y ` >Y ` >Y73d 3QQ ;#Q ;#Q3_4E4D$% M3O& Q4$% M3O& Q4FAwx  3O;k 3*#M43*#M4% M lDM 3O &Q x'4% MZ3O &Q y'4523 O  f  d @"B  `43d" 3_ M NM  MM<444% HM%3OA& Q  Residuals'44e?@*@3@9@eR@BRBR@e>    dMbP?_*+%MHP LaserJet 1200 Series PCL 6 (?dXXLetter.HP LaserJet 1200 Series PCL 62%xeO.CQ]JoJʠNxt(v`0wyi{^묝}v 6=&-[.P(sE4e2NG,">ӝz H.DeC#4r5 u&Z* wFCH!J/LP_oDNRGh ܂S{&Q 6q3Y` >Y` >Y` >Y ` >Y 73d23 M NM4  3QQ ; Q ; Q3_4E4 3QQQQ3_ O NM  MM<4JK4D$% M3O&Q4$% M3O&Q4FA; 3OB; E 3*#M43*#M! M4% w1 cM3O & Q x'4% vMZ3O & Q y'4523  O43d" 3_ M NM  MM<444% KcM%3O$& Q y vs x'4% @M3O-3$P  Q'44 eee ~v  <NMM? +]c  "??3` >Y` >Y` >Y` >YPH 0(  83d 3QQ ;#Q ;#Q3_4E4D $% M3O&Q4$% M3O&Q4FA0n s3O: 3*#M43*#M4% U bUM3O &Q x'4% lNMZ3O &Q y'4523 O  f  d @"B  `43d" 3_ M NM  MM<444% iQM%3OI&Q  Residuals'44eee > @  7   dMbP?_*+%" ??U>@7   dMbP?_*+%"??U>@7 SummaryInformation(DocumentSummaryInformation8 _1111216916FOle Pdx  Autar Kaw sgarapatMicrosoft Excel@ⶱ@T^@ ՜.+,0p PXd lt| USF Sheet1Sheet2Sheet3Chart2a0ca0cca1c a1c_zeroa1ccavggavggcnsyxsyxc  WorksheetsCharts Named Ranges  FMicrosoft Equation 3.0 DS Equation Equation.39q  fx()CompObjfObjInfoEquation Native <_1111217134F㔲Ole CompObjfObjInfoEquation Native 6 FMicrosoft Equation 3.0 DS Equation Equation.39qH   x i FMicrosoft Equation 3.0 DS Equation Equation.39q_1111217173F㔲㔲Ole CompObjfObjInfoEquation Native  6_1111217229F㔲㔲Ole !CompObj"f y i FMicrosoft Equation 3.0 DS Equation Equation.39qkT fx i ()=a 0 +a 1 x i      !"#$%&'()*+,-./0123456789:;<=>ACBDFEGIHJKLNMOQPRTSUVWYXZ\[]`^abcedfghjikmlnoprqstuwvxzy{|}~{K `!ӸjPIJAc>` @xcdd``g 2 ĜL0##0KQ* W%d3H1)fYX#3PT obIFHeA*/&`b]F"LR 0LiUN9 +ssٸ=bF:`j~d4*1o=+W/v$sY9A*4ˀߝָ 1 jM&fPs3woq}ϼl-܆kC{~TV eZZ@1?0?dƆX_܁_{JXQ ~0jOc8UrAs87BL-_F&&\ gf8/Dd d\  c $A? ?#" `92]pp^B^Xu#K"K `!]pp^B^Xu#K@^ xcdd``g 2 ĜL0##0KQ* WCRcgbR 6qGfĒʂT @I_L ĺE@,a KLiUN9 +ssFl\=bF:`j,A2Ęv$s]A*4ˀߝpb.ܛLx 5W?~%ν͵{?&+V J83 M-VK-WMc @*L+a 0°${y5؄L=JY |pd Lul p sAs8AL-OF&&\ ˏ`qᤰkDd |J  C A? ":2 ˽R|V„K `! ˽R|V@`0oxcdd`` @c112BYL%bpu_c΀H9@ڈkc6ؽĘĞكp?'A,T7Pb38̌b'8 M[%@*tM`xv__̄*oۚpAS:87@lM?LLJ% H X3XDd h|\  c $A? ?#" `;2A-·H_) -K `!A-·H_) @`(0xcdd``Nfb``baV d,FYzP1n:&)! KA?H1 I10sC0&dT201 @2@penR~CPKk f3``@6 vF%1汰s]n#dn-;Hf%4NpsHr5bݫ'@{ un!{X@v ,@sC2sSRssI J*;y" 6y1f0&+ 1320)!DY,gYbq35&.05pT,V y.h W@.#LLJ% H X73XTLDd J  C A? "<2W,ҕȆeu3ՉK `!+,ҕȆeu󳱖 ~ Hxcdd``> @c112BYL%bpu2f~("ֽ)SK `!f~("ֽ)R`` PMxmQ=KA}3w93E"I-hH,Lj Lim%VIac9!{,͛y{lbjdx",4ڢOtE[TLH< ;+5VSD;o1_l*!dz/sВQp|s:ՓѲ;E(HqEOo~Lu8'}l-@۶?r\U\K})y ի O/hY]!^ lOGR뾝_Ts:zoJʹۋv?/OYDd \ ; c $A4? ?#" `:2c-=w6UiuA?ʏ`!7-=w6UiuAHxcdd`` @c112BYL%bpu X.X@N271TYpBE i*P 27)?(6v$@*lMD.v0o8+KRsA<.@.Ff8$BDd $ XJ 8 C A/? "?2b3`HapK `!b3`Hap*xcdd``eb``baV d,FYzP1n: ,56~) @ k'10$1@0&dTՀ1 @2@penR~CP<7׊_c΀H9@ڈˎi& HFs`7L@2אBjn?\˝sF31T<8A|]8*_ ķC?~x M-VK-WMc U3L+xPoYQr`a;iB7n xK|S*|?[ @c112BYL%bpu c $A7? ?#" `=2@%E QcXce`!%E QcXc@|xcdd``> @c112BYL%bpu2~CC:3)1 y2ZU`!RCC:3)1 y2r@| xcdd``dd``baV d,FYzP1n:&B@?b ʞ ㆪaM,,He`HI? 01d++&1{~-Č`u ,@RF\XA2g#71Ɨa|+ $b/#?WV``U@(\PťCծ8! v 0y{qĤ\Y\ t0.?1f'BDd <h\ @ c $A9? ?#" `?2GࣴtSqi_n`!fGࣴtSqi_`@ |4xcdd``dd``baV d,FYzP1n:&! KA?H1Z  πqC0&dT20$ͤ `[YB2sSRs=bF: g0zx$Y 1Bg>#QlOE%O3@Jt2O;g03o_PT@penR~CP R mF \[N#LLJ% H  #3XpnƩ$$If!vh55@5\5#v#v@#v\#v:V l t06,5T$$If!vh55@5\5#v#v@#v\#v:V l t06,5TDd $ XJ X C AR? "2Ke(H^a `!Ke(H^a*xcdd``eb``baV d,FYzP1n: ,56~) @ k'10$1@0&dTՀ1 @2@penR~CP`WK/1@Vg$u me4$QIy9b? k R 5~wr'\FLa O+!|>N_ĆʗfmPπq/y>3NsXd++&1?N`sM+aʯ`W#(S7 Irʄ۳/#) o`Vw_bG囂U ;0\\y[!n``*#RpeqIj.ebla ϫDd T|\ Y c $AS? ?#" `2 }LM'ש0e `! }LM'ש0eJ `H(0xcdd``Vef``baV d,FYzP1n:&)! KA?H1 $깡jx|K2B* Rvfb KP 27)?(|30I] HqcWL? RYI;ypb.#o$׌Xq^^b;$ޝ|$X ^ b'B{uk1kI{_J W?\! ~ Ay ĹC$HQ%WoD`!jG{1VT4@|c3_UU.#Dů qu(H6} p籡_gAbm.d7v0o,gdbR ,.I@XP-̙ Dd H\ Z c $AT? ?#" `2T dv +0^ `!( dv +@"Hxcdd``> @c112BYL%bpu Dd xJ [ C AU? "2$╼%b `!$╼%` PxڥS=KAK.g#Z8DJz!^Q0DL 6K+K6v V x1rf޼"Aal!!"EVȜM%V=$a꼐'u+ qkl/!E:g 29@ڈ+ч$ss Hb W&0;? kRak8 v 0y{aĤ\Y\ t0 v120QA>4Dd @\ ^ c $AX? ?#" ` 2 X.WcH*Rg }d`F& Ma(w c:FF0(3׊֘ ?.p@tA``CI)$5batAbd`B-Dd @\ b c $A\? ?#" ` 2})n}9?Y+ `!Q)n}9?*  xcdd``ed``baV d,FYzP1n:&B@?b u p00 UXRY7S?&meabM-VK-WMcZ> X.4+$SQ 13d>#dOFf0~3oiPW&0;r=p{XA*a L ._)[s.hrCb*- `p\121)Wx ],`YF(gf8]T Dd ,b c c $A]? ?3"`?2UX Q̅s1X `!)X Q̅sxcdd``> @c112BYL%bpu @c112BYL%bpucDd b f c $A`? ?3"`?2=\FTi `!\FTi:@`!xcdd`` @c112BYL%bpu @c112BYL%bpu @c112BYL%bpu @c112BYL%bpu @c112BYL%bpu @c112BYL%bpu @c112BYL%bpu @c112BYL%bpuq!p24AQ1K `!q!p24AQ1:`!xcdd`` @c112BYL%bpu @c112BYL%bpu @c112BYL%bpu @c112BYL%bpuⳑ(we^_WΪk u~JOi{ ߯i(_z Dd  b h c $Aa? ?3"`?26ߐϢ$(* `! ߐϢ$(*;(@xXKQٙMC°b+!"H %D(*WB# C7!!z} |zب Kswt(Zo=w9c.Al TnjwK]XaDr\_'\jDCr춶5Lz5oq~ru(J+QYf n^}kyyl6woޠ%Way}YfxlY|tm6-lVa K+,A *Oa} K*,ѭ|  s`Ro)6y(lEa [UXH,̱̪:+`gh΁c='Vx{;q ݧ:Z㵨E/rfR oBˬkVآt]9Mj`lorw H}̠Nr9SRucpML4c0tX]ǒ/%"*/,L>q9T%V'*Fz0>ⲧ*eFW)57?[*ey2<Uzi!E%Bob,Wha{ \R@w܋3GuT&"5x ލE&U`3E ߵY]`GJ9/_g}mBW^_Gh-u.K]܇y6|sOT>M"+סNIAz1R֝b;]#1D<[ѻNxIDRh_TUhZ9OzT[+nEFP"W9A@<gqK pb_9pERpq=^]B1\P/x擷'x4 VRWKú LD pXDtMB)i4T$JK7?# A0% @B{mo>;;?|s޹H!ONxj@ hJ }t Hb.ƃAH琊n`,l]!E$.AAApc|)bHVЖhvI2 &'GS(? ʣPzv;.Qmw'( >Si?㩝M$]LI|#;i?r;ۻ=쪞 o <sMOJX +aW~XIS~RGv/7wƒGX u26I7Vzk:VѨP峯uƬӤh޸)Z@u`kHӋU@;mfnm/m-_l߶޸X5Ksg[_q }婢e$Uq_od_\|z=&8{|sblY8uA¿fź)Ҏ͛La0󃓯rQZ׺5X"{#ɛO2\Ih?B}z(f0tty H3}{gh}0oa`?g2L/|o}_02ZoeVƿ˯ cx:}Nt`XsJ7奎9 H>5笴!/uڇ!ENk[;՘G~U'A\ ~d{)p~dˇd3콫ۺbMXr-!MHkx,n4srWe ƄA` Ii]R)];f#6@}" gs.K!9'м'lxv;yuXSbmR1Ψzܩ4o"dRyX0Sm`qbgdR|,[ӽ{=w>̔>]1btN%g~.f3'p]{$<9iYEwoZW Y~|Eӟu$$If!vh5#v:Vl t065u$$If!vh5#v:Vl t065RDd hJ W C AQ? "27kk(3^` `!7kk(3^`R` @|Vxcdd``^ @c112BYL%bpuĞك 00σñÿ C-Y@| /gb R M}\ 1b;+KRsA<.Gf8jDd ` b P c $AJ? ?3"`?2'o܆L `!'o܆v<!VxXkAf6nTKJ-9*4 XB4 j/=DZxQ(zB,"^T3owfwӬIk&,ͼabh Ee0 h[D]3&bcR}Q!ڳcJ;WߢE\"^$ܤ ~>8%=JmO e ў7LdNǓR(JOƑd\Wq# G ]\2U`trӾeӌd:EQ\Fq 74 ظK{fX;.><46 mhlOc{a 1ril\jumYd8?+L)lkݞ-5V*沺]e+XWČ2J~(j(:xYͦeNLwPU9,rF0Lm*/P~fty[J b-9vY`/д`A:X LZ$ai5$?UeqIRu,S?~w=e~woy&iP wxdԭyѳ Y l9UT/W6R|}dR+ ztO%a?>InG'd SIw .hF~ag _YBRZ$}H;M41.'-s|ocO^. >[|Y6Cc_+rGE^4 gVG{b# Q}anwN B7 aCu$$If!vh5#v:Vl t065u$$If!vh5#v:Vl t065*Dd , J Q C AK? "2.,h^gԑ|ih `!`.,h^gԑ|i`  .xڥTMh@~3M[U""AC.WEkbl-l]AO"S=<PIgO-l7?!Yڲքɼ7K2<p rxZceN#Wy5zCI1 G!C2֪+urbctz I06_g;LIG_\(`9&+ _S +sⳑ(we^_WΪk u~JOi{ ߯i(_z !Dd T\ R c $AL? ?#" `2qÖyyk)4M `!EÖyyk)4@  XJxcdd`` @c112BYL%bpu @c112BYL%bpuZ /2_1253698515FTTOle JCompObjKfObjInfoMEquation Native NU_1253698564D:FTTOle PCompObjQf FMicrosoft Equation 3.0 DS Equation Equation.39q 4  FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoSEquation Native T)_1253698666FTTOle UCompObjVfObjInfoXEquation Native Y6_12536996075FTTp  2 FMicrosoft Equation 3.0 DS Equation Equation.39q"t s y/xOle ZCompObj[fObjInfo]Equation Native ^>_1253699662FTTOle _CompObj`fObjInfob FMicrosoft Equation 3.0 DS Equation Equation.39ql(' t=a 1  s y/x S xx FMicrosoft Equation 3.0 DS EqEquation Native c_1253698845FTTOle fCompObjgfuation Equation.39qNL =a 1 Var(a 1 ) FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoiEquation Native jj_1253699031FřřOle lCompObjmfObjInfooEquation Native p)_1253699071Fřř   t FMicrosoft Equation 3.0 DS Equation Equation.39qd (n"2) FMicrosoft Equation 3.0 DS EqOle qCompObjrfObjInfotEquation Native u9_1253699184  FřřOle vCompObj  wfObjInfo yuation Equation.39qT t>t2,n"2() FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native zp_1253699272FřřOle |CompObj}fObjInfoEquation Native Y_1253708067FřřOle =< t2,n"2() FMicrosoft Equation 3.0 DS Equation Equation.39qix t>t2,n"2()()=2CompObjfObjInfoEquation Native _1252929014l!Fřř FMicrosoft Equation 3.0 DS Equation Equation.39qjhı t=a 1 "a p Var(a 1 )Ole CompObjfObjInfoEquation Native _1252929080FřřOle CompObjfObjInfo  FMicrosoft Equation 3.0 DS Equation Equation.39qj`Hd) =26"00.2160=120.37 FMicrosoft Equation 3.0 DS EqEquation Native |_1252929193#FřOle CompObj"$fuation Equation.39qjKh) t 0.025,3 =7.453 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo%Equation Native g_1252925395(FOle CompObj')fObjInfo*Equation Native 6_1252925432&-Fjı  0 FMicrosoft Equation 3.0 DS Equation Equation.39qj'  1 FMicrosoft Equation 3.0 DS EqOle CompObj,.fObjInfo/Equation Native 6_12536996222FOle CompObj13fObjInfo4uation Equation.39q§Ԑ Var(a 0 )=s y/x2 [1n+x 2 S xx ] FMicrosoft Equation 3.0 DS EqEquation Native _125369964607FOle CompObj68fuation Equation.39qpPd Var(a 1 )=s y/x2 S xx FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo9Equation Native _1253699687<FOle CompObj;=fObjInfo>Equation Native C_1253006208AF񠲻񠲻'T s y/x2 FMicrosoft Equation 3.0 DS Equation Equation.39qjs p Var(a 1Ole CompObj@BfObjInfoCEquation Native  )= s y/x S xx FMicrosoft Equation 3.0 DS Equation Equation.39qj;8ı s y/x =77.77_1253008558qFFOle CompObjEGfObjInfoHEquation Native W_1253979165KFOle CompObjJLf FMicrosoft Equation 3.0 DS Equation Equation.39q W x=x ii=1n " n FMicrosoft Equation 3.0 DS EqObjInfoMEquation Native s_1253008879PFOle CompObjOQfObjInfoREquation Native f_1253008944NXUFuation Equation.39qjJ(ı =1+7+13+19+255 FMicrosoft Equation 3.0 DS Equation Equation.39qOle CompObjTVfObjInfoWEquation Native 1j4 =13 FMicrosoft Equation 3.0 DS Equation Equation.39qj{ S xx =(x i "x i=15 " ) 2_1253008983ZFOle CompObjY[fObjInfo\Equation Native _1253009097Sg_FOle CompObj^`f FMicrosoft Equation 3.0 DS Equation Equation.39qj( =(1"13) 2 +(7"13) 2 +(13"13) 2 +(19"13) 2 +(25"13) 2@ObjInfoaEquation Native _1253009130dF񠲻Ole  FMicrosoft Equation 3.0 DS Equation Equation.39qjĽ =360 FMicrosoft Equation 3.0 DS EqCompObjcefObjInfofEquation Native 5_1253009186bliF񠲻񠲻Ole CompObjhjfObjInfokEquation Native [uation Equation.39qj?ı = 77.77360  FMicrosoft Equation 3.0 DS Equation Equation.39q_1253009235nF񠲻;Ole CompObjmofObjInfopEquation Native A_1253009524]sF;Ole CompObjrtfj%H| =0.2160 FMicrosoft Equation 3.0 DS Equation Equation.39qj²ı Var(a 0 )= s y/x 1nObjInfouEquation Native _1253009608xFOle   #$%&).36789<ADEFGJORSTUX]behknqtwz+x 2 S xx []  FMicrosoft Equation 3.0 DS Equation Equation.39qjyHĽ = 77.7715+13 2 36CompObjwyfObjInfozEquation Native _1253009696v}F0[]  FMicrosoft Equation 3.0 DS Equation Equation.39qj!0 =7.215 FMicrosoft Equation 3.0 DS EqOle  CompObj|~ fObjInfo Equation Native  =_1253700061FOle CompObjfObjInfouation Equation.39qX  (1") FMicrosoft Equation 3.0 DS Equation Equation.39q5Ȗ (100(1"Equation Native 9_1253700095FOle CompObjfObjInfoEquation Native Q_1253700150FOle )%) FMicrosoft Equation 3.0 DS Equation Equation.39q a 1 FMicrosoft Equation 3.0 DS EqCompObjfObjInfoEquation Native 6_1253708154FOle CompObjfObjInfo!Equation Native " uation Equation.39qġ  1 "t /2,n"2 Var(a 1 )d"a 1 d" 1 +t /2,n"2 Var(a 1 )_1253700364FOle 'CompObj(fObjInfo* FMicrosoft Equation 3.0 DS Equation Equation.39qxb a 0 FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native +6_1253700402FOle ,CompObj-fObjInfo/Equation Native 09_1253700466FOle 1$ (1") FMicrosoft Equation 3.0 DS Equation Equation.39q`g  0 "t /2,n"2 Var(a 0 )d"a 0 d" 0 +tCompObj2fObjInfo4Equation Native 5 _1253010098F /2,n"2 Var(a 0 ) FMicrosoft Equation 3.0 DS Equation Equation.39qjP p a 1Ole :CompObj;fObjInfo=Equation Native >6_1253700632FOle ?CompObj@fObjInfoB FMicrosoft Equation 3.0 DS Equation Equation.39q$  1 "t /2,n"2 Var(a 1 )d"a 1 d" 1 +t /2,n"2 Var(a 1 )Equation Native C _1253010303{FOle HCompObjIf FMicrosoft Equation 3.0 DS Equation Equation.39qjP[ a 0 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoKEquation Native L6_1253708188IFgOle MAN? ?#" `2@%E QcXc `!%E QcXc@|xcdd``> @c112BYL%bpuȬ |= ȳ F`{**aW ~"ʿȈO?_RaU; 0#6 m.Ӷ )b nv0o8321)Wx ], 0ˏ`qd%$$If!vh55@5T5$ #v#v@#vT#v$ :V l t06,55L5$ TDd Dl\ U c $AO? ?#" `2YЃW9}2P. `!YЃW9}2P. yxcdd``n` 2 ĜL0##0KQ* Wy A?dn@=P5< %!@5`3{ vL@(\P8uk f3``@6a4fhTc?'1沂ThV >0f YKY!nhǀp ! ~ Ay u#(nH`XZp@E89@z`|OvaVbE9:zp#|QzC߀OFs8H-ܞ`wR>4pT[=Ĥ\Y\ qAH\ n$$If!vh55@5T5$ #v#v@#vT#v$ :V l t06,55L5$ T Dd ,b M c $AG? ?3"`?2TF"ƒadz0A `!(F"ƒadzxcdd``> @c112BYL%bpu ղUsi#Ff6VJ? ķ<@=o30!b W&00,).Ѐ baĈ1B\Dإ_X"i:낉 s  X"1@HA}Wh$M-Ex\1>CK2DE~-PS hN抻N `C,B1N 2$J7%BTs_Y\ˬpvT$k\E]spk#5=-lKUgTs*64.j"vʤB>y2/Yˌ"-XR"c|ȕzw˫-}pe%n\e;/~}M56k Wc>?AGn 9 FI8@ Dd hhb B c $A=? ?3"`?!2Rmz8Gb .j `!&mz8Gb @@||xcdd``> @c112BYL%bpu;vv0o8L+KRsA2u(2tA4T}bb#3X PIvgDd b C c $A>? ?3"`?"20> Sٙ8}r `!0> Sٙ8} ~ hSxڕKP.MiDC6ѹ N"D)XQC2 ;ͦR>q`#_l=B<4MY:рܲÞW^5He1?weWi<%-jCCyQcbTGv" QwOпI}?gL)<6T#|Β7Ex]FKK'Lw5ܚK7C"A>iq$b_XkZgˆ9?DM!$ ؀[%x@q'C }Dd b D c $A?? ?3"`?#2?0Ԍt+U0!. `!0Ԍt+U0!.:`R!xcdd`` @c112BYL%bpu @c112BYL%bpu*-N]KZkqY ٛTB$rL\\:癘v*g ع݂WrR,ٮpg^+vZ:a׆+2Lŗ W_?CΣ;}%IS5Le7ѷz'oZy&yg+?;[-l>-1o 99[i͕ˆd7r XZ*{Ho±@yDojpDd b H c $AC? ?3"`?'2|G|ÎiVw `!|G|ÎiVw` P\xcdd``` 2 ĜL0##0KQ* WÔ&d3H1)fY؁ h PT obIFHeA*/&*de-¤Tb Yl wfjQ9A $37X/\!(?71c@`<'b&#.#5XAZ5+ac F%|v=<,`{ 1Kd|Dd b I c $A6? ?3"`?(2>֓64ávgv-! `!֓64ávgv:YRxcdd`` @c112BYL%bpuX!# `!Peqfu`G f> `P xcdd``fed``baV d,FYzP1n:&! KA?H1: , ǀqC0&dT20 KXB2sSRs:V~. _r2Usi#5 0&7a5*@penR~Џ\ > ᰏD@ 8t1e$s7 j\4=`dbR ,.Ieԡ"|b@3X?a$Dd b K c $AE? ?3"`?*2q؍J1f S% `!q؍J1f F @xڕ=KAgg/19"i! F$Lc "M/ȕBV;  2D EBR.;fQ[HA ePqôьƙ5ix0X̺agB]rTL ֋ݼw<@yPfa$r)\%aMbf}=J)ogbo*'JuNI 0h~]} ?z_bO7(0>)-m^Yr/%yq j&8E!'s+T{}_})]38Cyk|4=zwZS,M@yeĸD3ŰZ|p9/i8m=!3PDd b ; c $A6? ?3"`?,2>֓64ávgv* `!֓64ávgv:YRxcdd`` @c112BYL%bpu7~I>Wb>[^{5 Iՙ4a .k_RQ?mS'#oGqGis\sdb yX峬x:9 0~z'GTmܲïGb8XTm/%w~?Wǥ)V }ȸ"kkD/~psj7FfCU,9 +\&Dd b = c $A8? ?3"`?.25j 6ȎCLyV/ `!5j 6ȎCLy8`hn zxڥR=KP&mX4D *7" SZuN::OH?^xǹE0k?R|4D#($*t|6 @$`s=߮X-8u~F*B,.ST2 4QuSC)/Q rwk>;Aow鵵cTN^+֓LpotsFO~ןS"r M>}(JI1$=v)E%`Cޡ x7]g߼Ϯa (o "|% = c $A9? ?3"`?/2b7LDH1 `!b7LDHRL bxuQ;KA8-D,`p9!AP R'IE mm֚"aElj2{f, ŒFHQITq|ei`Ae4 38X,퓅Zs9 17R,yT(({KN'?S Fn5haa%罶N=A#ϕc5DB9(͙qK"_,y)Y&Sܗޙ#~S[}u޼yq~2"B)s-gkA۷ՁŁd}H4]4A=Q8b exC}^ _hDd x|b ? c $A:? ?3"`?02ƤP\(PUZ4 `!ƤP\(PU` 0TxڥRJP=M[h$"4$: V([h!t(NBA|@A)N77,z%ܜ{,h 0ʼ-Q A,iVU?u5q$Fh29dR -*jM ;ikЍ&wePY(:qIr۫&ĺ5Vs씶*,oyD/[D|?BZ4‚)Z̬QXP߃^~ >v>~qExlHoSUU#<L)b9JÉ5|IDd ,hb 6 c $A1? ?3"`?12gIrTC6 `!;IrT@| xcdd``> @c112BYL%bpu @c112BYL%bpuIxIM\1 yv 7w*=0!YZĄULLfOjCɇbKx,c3ӐJ(J (4 CnGpT^h C^ >r%x0 8%˺ląE_L[a}ss?]ʯkzy> r^:aSfA".1 * ciieLq[t0 Z>WIo)Dd b 9 c $A4? ?3"`?42̦O V2Bu= `!̦O V2BuH@ PV`\xڥ;KP=IC+E!: >](.-N.WThZ&[ߡ tuWpqGn8p%`h^0 |%ضp!!*"DZVɴ61KaO/Xi-$'ab :бjTN vi\ <> X"{ [XN(âWn,3/ń:S:5Oо4vןY+{+148k}MH7'y钶_3 ,Yo7~\Njl y:t xMqA8 N mXC Nj {b* ;WxJ_ b^Aj9`7 z QiOoc&Dd b : c $A5? ?3"`?52p3+BqZrLs@ `!D3+BqZr @Chxcdd``fed``baV d,FYzP1n:LB@?b j́7$# lo&`'0LY ZZбsD V0ZD0m P.P56ըg`_|Fgd0013Llo%ԞjFŕ\P,8xa&#RpeqIj.& @ ]` "le.Dd | b  c $A? ?3"`?2F2:.[uB `!F2:.[u` 8xڥSJA=3y* *+F,\aEMt"*Vv~6Qt;3+$Xes{, ;X6g 0ThXW^#GlIKoB;BJFJkvܒ5& rxR^%1̴v ? B:% q,ջ57 {b=kOGG&cXCsynD,V݌_rEt,;\mm9.4rYIh>$^)~{'ǯCM-;Th8 'm[!$Zvzs}r8i&.q1b"/9>\>l%Xo3?ILyӎнRH(vyOR YэU@3_QIOUDd |b  c $A? ?3"`?2Iywz~{VE `!sIywz~`4 0Axcdd``Ned``baV d,FYzP1n:B@?b 30sC0&dT20 KXB2sSRs:V~. _gaF\ +a |S<>?} '}s,`BܤS~.pb.#? #l1H{@&T@J 3w[lu.p74=Ĥ\Y\˰d.P"CXYO`#Dd b ! c $A? ?3"`?2O^vRG `!O^vRr ~ L xcdd``$d@9`,&FF(`TMMRcgbR @ UXRY T,@1[IAX1AX.DYB2sSRs:V~. _˿ eAaoĵ63Hg^%_4įX| |} ɳ p{0x# _brg! E@(\pG!4V=O1nnW!nsJxKĻ%\R7kXM\ 6b;+KRs@2u(2t5B ~`FkDd lb  c $A? ?3"`?2I..xi*1D,,EJ `!I..xi*1D,,N  &Wxcdd``Vg 2 ĜL0##0KQ* W􀙁WRcgbR v@=P5< %!@5 @_L ĺE*A,a kȝATN`gbM-VK-WMcX|"+|-7K{1lW6VJ?Q #S߄7kX|c1 \ճ1 @c112BYL%bpu;vv0o8L+KRs"A2u(2tA4Ag!!v,3HDd b  c $A? ?3"`?2(X+;aEN `!(X+;aE @xڥS=HPwI+ E0*H+U.:NR!bB mlJ']\E'樃[ZK^^kZ =xG@ڄ` PS!!#.ȤE0%(cFqzW.TDsDL63Ń}d Lo[e#S[$H5̼qVgu׋<%<AKg-o%};oerpr,QWK~$\+>i&l^.rj{zuQłBѣ <שFth_ ū=`^};믿.mޛyQ,vR^ɿ_|.YS`?ecp 0lU!*"EGw|aI 4c*<6 1Dd hb  c $A? ?3"`? 2WbUL;,Q `!WbUL;,#@A6|xcdd`` @c112BYL%bpu= s#wy #4+a|-PE )B^ηC?.S ̷WATPe|`pIn~8? U} H?ˎ_UfTg aL@(\ 5tFx<ȃEK׆/wO@ED_dž* Uފķ5 .p'7h``#RpeqIj.)?:@Dg!4 E4Dd lb  c $A? ?3"`? 2i=T!=;EST `!==T!=;H xcdd``> @c112BYL%bpu$^)~{'ǯCM-;Th8 'm[!$Zvzs}r8i&.q1b"/9>\>l%Xo3?ILyӎнRH(vyOR YэU@3_QIOvDd b  c $A? ?3"`? 2jL)Ԫ/Y `!jL)Ԫ`` PbxuQ=KA};"!(&`'p@!`X >H~C, ›'/E37M "!,DZF91osS#^ʲf3X@90)`8)j!g(a"ք2]Bkr&ף1{f.O1M7ֳHV\5ojt`/lըr˻aooLwLRƺhc3tIԤ`ľTQ%?؊g@/}ܼexN, ݅SǤzÂhت7 V,J ?"y_]+,Dd b   c $A? ?3"`? 2vr&[0j W!R[ `!Jr&[0j W!Hxcdd`` @c112BYL%bpu1(舊6˔ۆmÇkVlDr[irx_:ANUUAҭz3Hѳ;(g#}/1]o'[K En^7 Z Egw5lOWE\ãgb9K2|S씑3s/H|u|:a7c>9Y'Zxþ.7n8+CD|Zv'r7Y%M*.z.UqIi9;ܒyP_j.H;<Ӊ.rS ln\z5¯T/LW; ?q᜿/oN4w7և{ve;bxPmj,N}1^M&kY~,a}Sќe(}&,uK]k ҫ%ˎmWz܆&U Ž-,W,Dd b  c $A? ?3"`?2v} >>yB5!Rc `!J} >>yB5!ߴ8Hxcdd`` @c112BYL%bpu?uE*~G3|ÏJ~"|O/_KgW;p&wp2U?^ JGɿ}/J<6&/NKiOlY2X|#?"`~RDd x@b  c $A? ?3"`?2F@M\JdWDx8h `!pF@M\JdWD. >xuQJ@ݤ5I PPD$"PI*bF(+rQ<)x衧 @c112BYL%bpu 1,3-LDd X|b   c $A? ?3"`?2[Q_70*Z/Lg7l `!/Q_70*Z/Lgf`X+0xcdd`` @c112BYL%bpūl&1CL@SF 4gy0~+%0@penR~7WG!"E=p{BX=G? AFhC:΍LjpebAo )F->bпkIG~Ԕ$sAK$.pH.+KRs^aPdhB ~dN~ Dd hb   c $A? ?3"`?2TC_ "vt˜=0o `!(C_ "vt˜=@H|xcdd``> @c112BYL%bpuxuQJ@ݤ5I PPD$"PI*bF(+rQ<)x衧 @c112BYL%bpu;vv0o8L+KRsvePdh,s;.Ff uMDd X|b  c $A ? ?3"`?2Z`iEK(l6X{ `!.`iEK(lf`X+0xcdd`` @c112BYL%bpūl&1CL@SF 4gy0~+%0@penR~~  c#(|Zt40^ | b8;7*#;P•տ7^900CX=@.'ſQS -8C#v0ocdbR ,.IeԡRYݏ`[ \ Dd hb  c $A ? ?3"`?2Tb0h~ `!(b͒@H|xcdd``> @c112BYL%bpu:]j m^Jy `1d#7ъdBb%\` u;CompObjNfObjInfoPEquation Native Q _1253010633Fgg0n\  0 "t /2,n"2 Var(a 1 )d"a 0 d" 0 +t /2,n"2 Var(a 0 ) FMicrosoft Equation 3.0 DS EqOle VCompObjWfObjInfoYEquation Native Z=uation Equation.39qj!@ı =0.05 FMicrosoft Equation 3.0 DS Equation Equation.39qj`l n=5_1253010665FggOle [CompObj\fObjInfo^Equation Native _1_1253010697FggOle `CompObjaf FMicrosoft Equation 3.0 DS Equation Equation.39qjKd Var(a 1 )=0.2160 FMicrosoft Equation 3.0 DS EqObjInfocEquation Native dg_1253010726DFggOle fCompObjgfObjInfoiEquation Native jc_1253700789Fgguation Equation.39qjGЯ Var(a 0 )=7.215 FMicrosoft Equation 3.0 DS Equation Equation.39qOle lCompObjmfObjInfooEquation Native pC'($  1 =26 FMicrosoft Equation 3.0 DS Equation Equation.39q+  0 ="97_1253700805FggOle rCompObjsfObjInfouEquation Native vG_1253700852FgجOle xCompObjyf FMicrosoft Equation 3.0 DS Equation Equation.39q a 1 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo{Equation Native |6_1253010968FججOle }CompObj~fObjInfoEquation Native _1253011057Fججjxı 26"t 0.025,5"2 (0.2160)d"a 1 d"26+t 0.025,5"2 (0.2160) FMicrosoft Equation 3.0 DS Equation Equation.39qOle CompObjfObjInfoEquation Native j( 26"t 0.025,3 (0.2160)d"a 1 d"26+t 0.025,3 (0.2160) FMicrosoft Equation 3.0 DS Equation Equation.39q_1253011087FججOle CompObjfObjInfoj³  26"(3.182)(0.2160)d"a 1 d"26+(3.182)(0.2160) FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native _1253011125FججOle CompObjfObjInfoEquation Native g_1253700928*FججOle jKH( 25.31d"a 1 d"26.82 FMicrosoft Equation 3.0 DS Equation Equation.39qp a 0CompObjfObjInfoEquation Native 6_1253011183Fج"Ole CompObjfObjInfoEquation Native       "!#%$&'(*)+-,./013254768:9<;>=?qABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnoptuvwxyz{|}~ FMicrosoft Equation 3.0 DS Equation Equation.39qj@ "97"t 0.025,5"2 (7.215)d"a 0 d""97+t 0.025,5"2 (7.215)_1253011246F""Ole CompObjfObjInfo FMicrosoft Equation 3.0 DS Equation Equation.39qj( "97"t 0.025,3 (7.215)d"a 0 d""97+t 0.025,3 (7.215)Equation Native _1253011290F""Ole CompObjf FMicrosoft Equation 3.0 DS Equation Equation.39qj³0. "97"(3.812)(7.215)d"a 0 d""97+(3.812)(7.215)ObjInfoEquation Native _1253011362F""Ole  FMicrosoft Equation 3.0 DS Equation Equation.39qjSh "120.0d"a 0 d""69.50 FMicrosoft Equation 3.0 DS EqCompObjfObjInfoEquation Native o_1253000048 F""Ole CompObj fObjInfo Equation Native :uation Equation.39qjX: p r ij FMicrosoft Equation 3.0 DS Equation Equation.39qj. <  r ij _1253000115F""Ole CompObj fObjInfoEquation Native J_1253000179 F""Ole CompObjf FMicrosoft Equation 3.0 DS Equation Equation.39qj9| x i FMicrosoft Equation 3.0 DS EqObjInfoEquation Native 6_1253000209F"Ole CompObjfObjInfoEquation Native 6_1253000356%Fuation Equation.39qjX- x j FMicrosoft Equation 3.0 DS Equation Equation.39qj4x 0d"X'XOle CompObjfObjInfoEquation Native Pd"1 FMicrosoft Equation 3.0 DS Equation Equation.39qj,ı X'X=1_1253000558"FOle CompObj!#fObjInfo$Equation Native H_1253000651 ?'FOle CompObj&(f FMicrosoft Equation 3.0 DS Equation Equation.39qj,(: X'X=0 FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfo)Equation Native H_1253701043,FOle CompObj+-fObjInfo.Equation Native _1253696841t1Fr E i  E i2i=1n "  FMicrosoft Equation 3.0 DS Equation Equation.39qOle CompObj03fObjInfoOlePres00024 A .  @&F & MathTypeTimes New Romanww 0w"#fS-2 )y2 (y Times New Romanww 0w"#fS-2 @iy2 @ iyTimes New Romanww 0w"#fS-2 uxy2 fy2 ^yySymbol ww 0w"#fS-2 -y & "SystemS"#fS !-I=H=T= y i "f(x i ) FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native Y_1253696027z7FOle CompObj68fObjInfo9Equation Native )_1253696026?5<FOle   #&),/036789:;<=>@CFGHIJKLMNPSVWXYZ[\]^`cfghijklmnpsvwxyz{|}~ `a Y FMicrosoft Equation 3.0 DS Equation Equation.39q t& XCompObj;=fObjInfo>Equation Native )_1253696025AFOle CompObj@BfObjInfoC Equation Native  8 FMicrosoft Equation 3.0 DS Equation Equation.39qг y=x FMicrosoft Equation 3.0 DS Equation Equation.39q_1253695863/FFOle  CompObjEG fObjInfoHEquation Native U_1253695821KFOle CompObjJLf9X (x n ,y n ) FMicrosoft Equation 3.0 DS Equation Equation.39qIPc (x n"1 ,y n"1 )ObjInfoMEquation Native e_1253695771SIPFOle  FMicrosoft Equation 3.0 DS Equation Equation.39q9F$; (x i ,y i ) FMicrosoft Equation 3.0 DS EqCompObjOQfObjInfoREquation Native U_1253695683XUFOle CompObjTVfObjInfoW!Equation Native "Uuation Equation.39q9hb (x 2 ,y 2 ) FMicrosoft Equation 3.0 DS Equation Equation.39q_1253695516ZFOle $CompObjY[%fObjInfo\'Equation Native (U_1253708021_FNOle *CompObj^`+f9p (x 1 ,y 1 ) FMicrosoft Equation 3.0 DS Equation Equation.39qoH H 0 :a 1 =0H 1 :a 1 ObjInfoa-Equation Native ._1253696840dFNNOle 1`"0 FMicrosoft Equation 3.0 DS Equation Equation.39q*  .  &@F & MathTypeCompObjcf2fObjInfo4OlePres000eg5REquation Native ?UTimes New Romanww 0w"#fW-2 )y2 ,y2 4(y Times New Romanww 0w"#fW-2 @Aiy2 @viyTimes New Romanww 0w"#fW-2 yy2 xy & "SystemW"#fW !-I9-|d (x i ,y i ) FMicrosoft Equation 3.0 DS Equation Equation.39q_*  .  && & MathType_1253696839nbjFNNOle ACompObjilBfObjInfoDOlePres000kmEREquation Native OU_1253696838pFNNOle QTimes New Romanww 0w"f-2 )y2 ,y2 4(y Times New Romanww 0w"f-2 @y2y2 @}2yTimes New Romanww 0w"f-2 yy2 xy & "System"f !-I9xUY (x 2 ,y 2 ) FMicrosoft Equation 3.0 DS Equation Equation.39qW*  .   &@ & MathTypePCompObjorRfObjInfoTOlePres000qsUlEquation Native _UTimes New Romanww 0wfg-2 )y2 ,y2 4(y Times New Romanww 0wfg-2 61y2 d1yTimes New Romanww 0wfg-2 yy2 xy & "Systemgfg !-NANI9 (x 1 ,y 1 ) FMicrosoft Equation 3.0 DS Equation Equation.39q_*  .  &F & MathType_1253696837:hvFNNOle aCompObjuxbfObjInfodOlePres000wyeREquation Native oU_1253696836|FNOle qTimes New Romanww 0w"f-2 )y2 ,y2 4(y Times New Romanww 0w"f-2 @}ny2 @}nyTimes New Romanww 0w"f-2 yy2 xy & "System"f !-I9@\ (x n ,y n ) FMicrosoft Equation 3.0 DS Equation Equation.39qV4   .  & & MathTypePCompObj{~rfObjInfotOlePres000}uBEquation Native =Times New Romanww 0w{"f-2 `)y2 `(yTimes New Romanww 0w{"f-2 `Bxy2 `fy2 `^yySymbol#" hww 0w{"f-2 `l=y & "System{"f !-I!\ y=f(x)&LLJ% | s: @> 1,[HDd |b  c $A? ?3"`?2\[5+ `\8r `!0[5+ `\f@`+0xcdd`` @c112BYL%bpuI_ηFOCWO J0OFp~(s0ATP+@|C8 y1=fA/gAϔb>z0/paǏ8\+9|3qf +,("^$?rB0M`Qp%ǒvP 27)?!EG!"38a{عqۃFW!U<|&dw+ ߋ1q3%/)@MI2 >DZ-=rI)$5AdP"CD|b@#3XT;Dd b  c $A? ?3"`?2hzGim>ߤa `!YhzGim>ߤ H'xcdd``fed``baV d,FYzP1n: X,56~) @ ' ㆪaM,,He`0 @201d++&1t\> mcF\ AN20AFXcBܤFn.p? ;Nۜ\e7Wdn)4Ը! h 0y{qĤ\Y\˰ d.P"CXY`b#%Dd 0b  c $A? ?3"`?2oOG{K `!COG{kHxcdd`` @c112BYL%bpu ON[T T{@ZM+I9 8> 0D@272Nps@&UrAC r`CDkF&&\% s:@Dg!t?08`adDd Tb  c $A? ?3"`?2m+j `!m+j (XJPxcdd``fd``baV d,FYzP1n:&\B@?b  ㆪaM,,He` @201d++&1t\> ?KT T Wc ;H̀*"2LƏa |7_c5 !.RO@.7004S& Ma`QO!22ܫ 2\Fc` 1ep@ONLLJ% A61u(2tA4Ag!t_1e{~n1Dd +h0  # A 2w)؛O˹4GlH `!w)؛O˹4Gl茖 @M|Oxcdd``fd``baV d,FYzP1n:&B@?b -z47$# !lo`'0LY ZZбsD V0ZϙvNh8Wc;3ehbgp~ 1)'E P;AFb) W&004rsny(ӧs`aaa.#Em`DCXȊ1B6,( \X 4=tĤ\Y\pdP"CD\x,Ā+f H|ADd Tb " c $A? ?3"`?!2 ]>*]@fgy `!_ ]>*]@fB 8XJ-xcdd``Vdd``baV d,FYzP1n:&&V! KA?H1ZX ㆪaM,,He` @201d++&1t\> ;ʠ TAN22<@`hŝL@(\PQ;!2+2\P m`ah m.p `p221)W2ԡ1 :%oNGDd hb # c $A? ?3"`?"2呗4**&m `!e呗4**&R@L |3xcdd``dd``baV d,FYzP1n:&&6! KA?H1Zʞ ㆪaM,,He`H @201d++&1t\> q5Usi#F7,!)' @c112BYL%bpuW[qJSBC|u^}rˍzu.Z_Y[syy= 0ԙvTfŲ%3~bF(FO+N"I4d a<׃0oՋ.a/*ﲟ)9%]MjX]dGZ-El)B.*ɨ&LF߈li\P]}z7Үo4vF~O7yY=O1uO;pm1k+!)~2y:Cp{Oh*O\UqJ7i -8D~љN:T bY{H@oO470Dd X|b & c $A!? ?3"`?%2Hߔ `saq `!Hߔ `saq`X+0xڝJ@LZ]T4b BE^]JQ\ n*9@ 5ae #&kA*"Jj6$~ K]nӇf($F1XtZk@cZoVUI[_<8ASP)RZ/6RR G7)k)XQw*e:z3"$NkQa,C(?!78J%x<,0w{>4áuXA_ `*k!Ģ%9f!2 MUΆ'w|9m UASп;5+M <1Q[N?"o_ּEpy<|%=eJ3fȽ!~sֻwB?{~؄f^,A6c Ơ& \Dd Tb ' c $A"? ?3"`?&2 $Iy|^fXTژ `!$Iy|^fXT .XJxcdd`` @c112BYL%bpu _x%2BAp/T>Fh_4UsS>8ؠiZ+@(W2ePdh,Āgf 1_Dd 0Tb ( c $A#? ?3"`?'2:fEC-<8F `!}:fEC-<8Fߢ HXJKxcdd``dd``baV d,FYzP1n:&n! KA?H1Z ǀqC0&dT20 KXB2sSRs:V~. _OcF\ N08AFAFf0olWηb7O?ycd|xd)3@penR~KN.pb.#@F,61C0RF>Mqp@RN#LLJ% @2u(2tA4T}b@3XQ Dd hb ) c $A$? ?3"`?(2UzLutv-1 `!)zLutv-@H|xcdd``> @c112BYL%bpu;vv0o8L+KRsePdhB 0Cbd`$Kq Dd |b * c $A%? ?3"`?)2UwFgRt1 `!)wFgRt@`(.0xcdd``db``baV d,FYzP1n:&9! KA?H1Z10sC0&dT20 KXB2sSRs:V~. _ӂXt9Wc,Hf%'( bT|3 |s8$' 10'F0 QF ?l# l#1n+X 6` & Ma`X FxԁBnO;%u=q/2BD1\_ eQ[1`w'#5<=1[O X \$ ͻ `pĤ\Y\C D|b@3f~}Dd |b + c $A&? ?3"`?*2)^HbMFfF" `!^HbMFfF" @`+0xڝ=K@ǟUcZC)RS$.6.V([ht+ DAp?"NK AMrsxB/HED q"B-Qĝau:(~P *;]"}Lv4+VVe̽?i㋧'h ue4*ڼQӖJfqkrGtV5HcAg<BGEvLpsAy/N\DA:<]ñ0OlU֢I(_I 9d$;1<̛$ W^hw;HօêAn{'{DiyU߆\Se\77JV[(|e$ՅSJC9#yBl [? 6[7 Ψt"th^& cF ‘=UQh|V¥Dd hb , c $A'? ?3"`?+2-۹MQ5 NQgf `!-۹MQ5 NQgf@@(.|xcdd``~ @c112BYL%bpu i*L) =C_7$AԀJ d܄.1TNp L4 xn4`ƅk6qQՍWXXŠjT7яFH<('/@x|<` a`%~P 27)?3{B8b.# ǰUsi#[`'U _`YAp~g 02YF*'υ ܥ߳m6s& Ma`Q!2C@d_ bA[1@ԣ"50*ho.p4=TĤ\Y\2C b> 1,Dd |b . c $A)? ?3"`?-2RjC2/.  `!&jC2/`R0xcdd``> @c112BYL%bpu 1  FRdDd hb 0 c $A+? ?3"`?/2P]xdG*T~z,O `!$]xdG*T~z@R|xcdd``> @c112BYL%bpu @c112BYL%bpu oKT T0ufUBkGy F \Ps}6b;&LLJ% @2u(2tA4T}bb#3XLYDd (b 2 c $A-? ?3"`?12Q^ǵ7\ `!wQ^ǵ7j@ hExcdd``6e 2 ĜL0##0KQ* W!d3H1)fY@<P=7T obIFHeA*CHD.#l()L 0  rof01d++&1t\> WM߈kc;Ha%& A%P 27)?>JB8c>l #ca$_{L'n-& +\nv0o8+KRsaPdk),ĀGf~#pl"MDd b 3 c $A.? ?3"`?22#u"6ds `!k#u"6dJL h9xcdd``Ve 2 ĜL0##0KQ* W&d3H1)fYˀPP=7T obIFHeA*CPD.#l(0KI. ka7S? `3B2sSRs:V~. _e 07Z( jX _L@(\QL`|@d-$b.\& p1@\P 8x v 0y{qĤ\Y\PC  ldMDd b 4 c $A/? ?3"`?32|_@Aks `!k|_@AkJ@8 h9xcdd``Ve 2 ĜL0##0KQ* W&d3H1)fY@<6P=7T obIFHeA*CPD.#l(0KI. ka7S? `3B2sSRs:V~. _{x 07Zh jP _L@(\`sG!362nLps]@&DsAC 3a-%#RpeqIj.E.= l$e6Dd p`b 5 c $A0? ?3"`?42ݡㅼpt$4¹O `!ݡㅼpt$4¹X xڥS=KP&/5bD*DAт"tMP*D( BG)t*.vqEtS).+E]4¹'sㅀ !! }_ ҧf]!TQFnC5,jUՃ7Ye!0JĹppn M&QìBV] BTr9LR~~ K~pHsvrՕ|e=ž|͛zVz7aҬ8{O~;^O;=7uKƃНYf6]g^tvj]n;ՔnY{ ^Sʏ5 9ZWS>@rطd, )峧~ R7_؀@HdW!Cioq!}u BQ4h,VQhQB]$$If!vh5D5 #vD#v :Vl t65D5 ]$$If!vh55j#v#vj:Vl t655j]$$If!vh55j#v#vj:Vl t655j]$$If!vh55j#v#vj:Vl t655j]$$If!vh55j#v#vj:Vl t655j]$$If!vh55j#v#vj:Vl t655jDyK $http://numericalmethods.eng.usf.eduyK ../../../../]$$If!vh55j#v#vj:Vl t655j Dd 0  # A2hD3#藚SOMx`!phD3#藚SOM@8 >xcdd``vdd``baV d,FYzP1n:LlB@?b cc`p熪aM,,He`7S?&,e`abM-VK-WMcX|"+|-WRN fF\ = 0Mf_b$?q`ۓY s1B`${)eP0?ip~_Y%P 27)?AJaCa"rJ.hlqc-и``#RpeqIj.C0\E. Xݏ`wDd b  c $A? ?3"`?2=ER!}#w?`!ER!}#w:`!xcdd`` @c112BYL%bpu`*A~٬R72`!`*A~٬R7:Hxcdd`` @c112BYL%bpuznĒʂT/&`b]F"LQ @,a ˇL *'] ZZбsD V0Z3Mb&#.#@:+*a8|P0@penR~0$f:|a>ж s.p0M%'#RpeqIj..\E.Y]L8P4Dd hb  c $A? ?3"`?2~J:*braZ\`!RJ:*bra*@| xcdd``ed``baV d,FYzP1n:&,B@?b 00< UXRY7S?&,e`abM-VK-WMcX|"+|-™h(.P56j`aiլŘ@|8߄רاf#I12p{02Lȫ!|t1/=p `TTrAC ;WLLJ% A0u(2t5B ~d,Qk7iDd hb  c $A? ?3"`?2O.)S9ԗi`!O.)S9ԗi@ |Uxcdd``ed``baV d,FYzP1n:&6! KA?H1Zl πqC0&dT20$ KXB2sSRs:V~. _˟paF\ gXAZ5+awL okTBSO} N`{ +a,&=L@(\NAasd.ܞߌ>='lOܞZF=I'T40.bP 䂦.pJG40y{iI)$5aE.Yݏ`ϙ!4Dd hb  c $A? ?3"`?2~= l'e/=,Z`!R= l'e/=,*@| xcdd``ed``baV d,FYzP1n:&! KA?H1Z, πqC0&dT20$ KXB2sSRs:V~. _˛<2Usi#M 0Cu|_b}$?}7/cH 07 dB%?䂆*8 Sv0o8+KRs<@0u(2t5B ~dg1Dd Tb  c $A? ?3"`?2{dH(k遚?W-`!OdH(k遚?* XJxcdd``ed``baV d,FYzP1n:&,B@?b 00 UXRY7S?&,e`abM-VK-WMcX|"+|-_Ývh(.P56j`aiլ@|8߄רا<@+AFU>IFS **ywa*#RpeqIj.}= @ ]` "j"1Dd Tb  c $A? ?3"`?2{,0&OW^`!O,0&O* `\XJxcdd``ed``baV d,FYzP1n:&,B@?b X ㆪaM,,He` @201d++&1t\> ?L 4AHq50~`iլt|_bcd>`kX 0Bb$_{O%?䂆*8ށ;WLLJ% wA0u(2t5B ~dk9pDd L%b  c $A? ?3"`?2qHx4JXWrK `!qHx4JXWr \xcdd``.dd``baV d,FYzP1n:lB@?b 10@0&dT20| @201d++&1t\> ?OȠ TN0gi5@|+(9|=cTbgd`Y 2°gDg<͌oa K80@penR~הp2b'ܿ|[ {) pLWY&M \vhZ``#RpeqIj.? @ ] UÀ, eDd 0  # A 2~|vE";Z`!R|vE";* xcdd``ed``baV d,FYzP1n:L ,B@?b X܀깡jx|K2B* R& KXB2sSRs:V~. _˕2Usi#M 0Cu|_b}$?u`rۛY 1Bb$_{2 `TTrAC ;WLLJ% {:@ą ~deDd 0  # A 2z7^&0M?V`!N7^&0M?*hxcdd``ed``baV d,FYzP1n:,B@?b 깡jx|K2B* Rvfjv ,L ! ~ Ay +?OblJi@Ct9W Hf%/& F%>?u`daT 2Bb$_{;O%?䂆*8ށ;WLLJ% {:@ą ~discDd T0  # A 2{4,^ZGW`!O4,^ZG* XJxcdd``ed``baV d,FYzP1n:&! KA?H1Z, ǀqC0&dT20 KXB2sSRs:V~. _˿s eF\ AZ5+a`& F%>?}hװOaH 07 dB%?䂆*8ށ;WLLJ% {:@ąB ~d|iDd 0  # A 2~ir5l;Z`!Rir5l;* xcdd``ed``baV d,FYzP1n:LX,56~) @ k/`a`p熪aM,,He`7S?&,e`abM-VK-WMcX|"+|-?h(.P56j`aiլŘ@|8߄רاf#I12p{jA&U>IFNS **ypAT+F&&\ {:@ą ~dkeDd @0  # A 2+. 2))e``!X+. 2))e &xcdd``ed``baV d,FYzP1n:&B@?b u ʎ ㆪaM,,He` @201d++&1t\> W+cF\ X@Z5+ae F%$? n&? Ώc++ R I9 J\Oq b/#m+ippAPF&&\u s:@Dsat?2kf41Tables`#SummaryInformation(DocumentSummaryInformation8CompObjq@@@ NormalCJ_HaJmH sH tH L@L B} Heading 1$@&5KHOJQJ@@ B} Heading 2$,d@&5VV x Heading 3$<@&5CJOJQJ\^JaJDA@D Default Paragraph FontRi@R  Table Normal4 l4a (k(No List ch Table Web 3h:V03j B*`Jph4@4 Header  !4 @4 Footer  !.)@!.  Page Number@2@  Footnote Text$a$CJ6U@A6  Hyperlink >*B*phFVQF FollowedHyperlink >*B* phc Mr Table Professionall:V0j%  $5$7$8$9DH$a$5B*\`Jphj@sj e Table Grid7:V0(@( * Table List 3:V0  j# j# j $5$7$8$9DH$a$05B* \`J ph6B* ]`J ph66 * Table Style1ll s5 Table Theme7:V0o@ $Table Simple 1:V0  j#j# HH -B Balloon TextCJOJQJ^JaJ $=Vo7Pi^ w v r       o n m l k                $=Vo7Pi     ^12J74567TU> X j !#%&(*-0358<@DEFcdi?Xq 9b7^y (\{  #'+/26:>AEIMPQj% $Cb F{ !!O""""";##$a$E%U%o&p&&&&&&&& ' ''((5(6([(\(]((())))))))))))))))))))))))**!*)*1*8*9*:****M.N.v..h00112E33344:4444`5~55 6m67 889f:g::::;:;Z;;;;<?<i<<<<==!=J=s====Q??,@t@u@AA B-BTBlBBBCWCCCDD4DLDDDDDDDEQG~IJJ]?]W]X]p]q]]]]]]]]]]]]]]]]]]]]]]]]]]]^^^^ ^ ^ ^ ^^^^000000 0 000000 0 0 0 000 0 0 0 000000000000000000000 0 0 00000 00000 0 000 0 0 00! 0! 0! 0! 0000000000000000000000000000000000 0 0 0 0 00000 00000 00000 00000 0 0000000000000000 0 0 0 0 0 00000 0 0 0000$ 000 0 0 0 00 0 0 0 0$ 000 0 0 0 0$ 00000 0 0 0 0 000000 000000 000000 00000 0 00000000000000000000000" 0" 0" 0" 000000000000000000000000000000000000000000000000000000000000# 0# 0# 0# 0000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0@I@000@000@000@000@0@0@0@0@0@0@0@0@000,0000000000000000000000000P00000000000000000000000000000000000000y0?0@̥0@12J74567TU%&8<@DEFcd  PQp&&&&&&&& ' '5(6([(\())8*9*0112E3==Q??t@ZZZZZZ[[[ [`[a[[[[8\9\C\P\R\S\^^000000 0 0y00y00y00y00y00y00  y00y00y00y00y00y00  y00y0000\y00  00000000  y00 y003y00 y00 y00 3y00 8y00 0#$y00 0%&y00 y00 8y00 y00y00y00y00y00kO2VUU y00@001 2Ty0"003 4y0"005 6\Ly0"007 8Ly0"0y0"0#y0"0y0"000y0)0*y0)0y0)0000CDM 0EFN 0GHTN 0IJN 0KLN 0MNN 0OP5 b1F@S@3{00000000P / 0000 u S D( gT| {!"#?%"&'(*,.\025i8|9:;C?gBDDRFGIJKL^UBWubcsddXeef4789<=?@ABCDEIJKMNOQUWXYZ[]_cfijklmnpqrsuvwxy{|} T %Dd! ##P##*.. /[011822?ELbbbcc`cccdef5:;>FGHLPRSTV\^`abdeghotz~f6dxz7OR.0)+0DF]qs   ' ) - A C y y ')Rfhj~)=?F^a4HJPdf@TVYmor!57J^`o35FZ\ $&-ACDXZcwy Rfhr !#  "+?AJ^`   "Wkm   B V X b v x !4!6!]!q!s!y!!!!!!!""""" $$$p&&&'''(1(3((((((()))))))))***------/1/3/i0}00000000000#17191h1|1~111111182L2N2U2i2k2222222233-3A3C3444"46484@4T4V4/7C7E7K7_7a7777 88 8888A;U;W;g;{;};;;;;;;<<<'<;<=<Q<e<g<{<<<<<<<<<<== ===2=F=H=[=o=q=>>>??? ?4?6?R?f?h???????@(@*@-@A@C@AAAABBB&B(B2W2$4,^ZGW,- p0e0e     A5% 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E|| "0e@     @ABC DEEFGHIJK5%LMNOPQRSTUWYZ[ \]^_ `abN E5%  N E5%  N F   5%    !"?N@ABC DEFFGHIJK5%LMNOPQRSTUWYZ[ \]^_ `ab@& S h&(  .  J%* 3  s"*?n  c $X99?"` J%*TB  C Dc  \2  3 "`%#wwZ  S A  ? mD\2  3 "`aOZ  S A  ?-\2  3 "`jJZ   S  A  ?!@hm\2   3 "`g 0Z   S  A  ?&hS\2   3 "`@ n Z   S  A ?d n Z   S  A ?;!#&ZB   S D $Z   S  A ?$[$4ZB  S D v Z   S  A ? J    $%5 ` #  s"*?` _  c $X99? $%5" n :m  a  #"  S%#%5ZB b  S D:t t ZB c S Dm  d  BC DE4F KbhT:FHV@ h H< @    0 V2 e  # "`? | V2 f  # "`l  V2 g  # "`  V2 h  # "`  V2 i  # "`V  DZB j S Dx < q j k  S A  ??"? 5 E j l  S A  ??"? @1 m  TA ? ??"`B  j n  S A  ??"?.  j o  S A ??"? >F 2 p  N??"` : B q  ZD??   j r  S A ??"?x p   B s  TD?? i q B t  ND?? B u  ND??   v  0 ?"0@NNN?N#3O%5  w  0 ?"0@NNN?N % '   z #  s"*?` y  c $X99?N {  3 ZZwHB |  # ; HB }  # s; < HB ~  # sd e HB   # sHB   # sHB   # sHB   # ; < HB  # ; q HB  # ; q HB  # N ; O q HB  # ; q HB  # ; q HB  # V; Wq HB  # ; q    BmCmDEF,6m76m76 @` q    BmClDEF,6m66l66 @`     BlClDEF,6l66l66 @`$ w    BlClDEF,6l66l66 @`1   BlClDEF,6l66l66 @` ^x   0 1 ~   6 2  ~   6d  ~   6"dJ  ~   6Ldt ~   6vd ~   6s   ~   6 K  ~   6  ~   6E P ~   6  ~   6  ~   6; F ~   6jY  ~   6    N   3 ZZwt  s *A  ? ?3"`?B S  ?H0(  P_v.^"?t` tz t_T OLE_LINK1 OLE_LINK2 _1202210748 _1202291297 _1202291306 _1252924214 _1253626287 _1253701119 _1253701191 _1253701213 _1253701228p&p&&&&&&&&&1(^ @@@@@@@@ @&&&&&&&&&&1(^a6 6 6 ɘ6 T6 ƚ6 t6 lȚ6 6 \6 6 ܞ6 6 $m6 dm6 m6 m6 z6 z6 <{6 |{6 6 D6 6 6 6 6 <6 |6 6 6 6 T6 6 6 6 r6 ?CEFkGIKKM&OPPQTCTRUVWnY^      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`sktGc}F.P $ x +R$K3Lh,###"&U'''(()c*g*p**6+,,-5/900I1k33o45,6689)>?CEFlGIKKM'OPPQTDTSUWWoY^  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`>a*urn:schemas-microsoft-com:office:smarttags PersonName `CaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaHJ)3-3[[[[[[[[[[[[:\B\E\O\R\S\^\u\w\\\\\\\\\\\ ] ]$]&]=]?]V]X]o]q]]]]]]]]]]^^ ]_ np^`8!;!""**..h01122D37!77 8 8888;;>P?Q???+@,@s@A B-BTBCVCWCCCCLDDQQRNS[[[[[[[[[[[[:\B\E\O\R\S\^\u\w\\\\\\\\\\\ ] ]$]&]=]?]V]X]o]q]]]]]]]]]] ^ ^^^^^3333333333333333337!F9o - Rj %J8!!#a$E%U%(()**:*44J5~5A;<<Q<i<<<<= =!=[===-@u@ATBKI~ILLiZZZj[[[[[[[[[[[[[8\R\S\V\X\Y\[\\\^\u\w\\\\\\\\\\\ ] ]$]&]=]?]V]X]o]q]]]]]]]]]]]]]]]]]]]]]]]]]]]^^^^^ ^ ^ ^^^d{i00000000#1:1h11111182O2U2l22222-3D377 8!888;;>>?? ?7?R?i?????-@D@A BI}7~R$fR,^K3H j? &,^Kf})`D+,^K<<0JX0D(K6_6@(1Q>؍Jt7>@H<@teAuwpF\BhP؍JE|FR!u5SREw(V`َ'|hP@w\8V!Z%2[d ap3H (K6~C d~<<0juwpF;!rbRow(V1Q>>I}'mfRD+? &|jEl.+%ByGIHf243qu|:, ud f{ ! ]3 #e p == ` e z  N, +X pb Mr yHPtUqu .R}< o 1U.bpUI|o ,;>IKP y5Ma$F!:MGPauz"$Ee~1;\pI"t&,Xh}nO \Nx51`bcii #,7FFns]#~.?ao !3 LD U Z 4l !!|!{y!""2"&3"<"M"M"R"Y"3 # #%#9#=#D#`#t#J$gJ$yR$D%1%e%|%c&'7'rJ'd'm{'u(/)Y)Z)+o**p*X#+$+s+;!,',Zv,Y-*G- d-..(.5.z/N/06S0RT0$^0fo01!1$y1u2)28G2\2^2 3dH3I3K3Z3Oh344W44q645-5y>5K5Q5T5s5*6;36G6q6u7u7&8b*8d78=8P8i8k89&94F9n9=p9 ::/:gi:m:&q:t:;;j;;r;<#<><d<=#=?-=>i=x0>1>WK>Q>~>L?uQ?Z? y?<@u@y@ AKALAbArAwADBh%B.BRByB7CB@C]CkCmCDD~#Dp,D En2EhWE#bEXFAqF-0G7G3=GHGuG HH"HQHFUH\nH@>IDI nI|INJcJViJE K}#Ku1K4KvtKG|KWLLJ&L9LML\L4hLsLM*M{:MyMNN,NAOJO(WO*PaCPHPsZP& Q4JQ`QlQq-RxR S#SgSySTT "U:U?UQUaaUg V9VVVVV?V]VbVW];WgCW4XSXUX{XYY>$Y}^YZ[Z[[e[ ~[}#\0\AA\j\]*](9]:]V]Ut]^]&^7^I^L^N^lW^#_H_V_*__a_t``F`1`n7`-a)az2aAaVQaZTa{a-bb(bbbc1-c6cAcCcHTcdG&da6dDd1Fd+YdVex3e5e;]e?ke"f5fPfrftf4g*8gRgchhNheh!i.iv9iu@xu{u vvE>v%IvH\v&wkDwZwuw+xdxXxy;6yM=yUygyvy}yJ zzVziYznz{ {E{b{y{E5|k|{|l+}L}M}O}(h}i~U$~`/~2~ec~bIK VTF9BZ++0#WM%+{@_Dh/W2CE]dL /V`dM16}/16R]c X@|r`9<JYxEy '*bXijsy6eqTWkc[)1gL ?8:jX([A C6JL2Ie! y-F S)=N>m,2JOAtcwMzOPa$(tun06ELN-&uiy6N4n>Tt #+#2EZ`.d\GJikmOnx+7)Foy;GV|e+p+-R*p4Eg%89~BRZ }1&1CNi*&&E BHR\ip0?pZiB}2#5JR UV_z}7>?LY gAc-v3OfpZs;u@)>f)+9aInxzr=FDIa8UFie~y~ 9P} %_=fFOA P6);FyNls$7^c{5C\QJ}12a]M!J)()[;crt| /5JR\Bq.(/afv  *lTSX)pXSAjAF\mB);d<ODYUZO \m=t"E[<na?T)VpL'6?]_t'p9ZSoYv_9bxy`~(3 z17tjF;Rg $6(M^-B[l{w457TU !#%&3DEFcd  +>PQp&&&&&&&& ' '(5(6([(\())))))))*8*9*iZZZZZZZZZZZ[[ [[ [%[`[a[j[[[^"""@4^@@UnknownGz Times New Roman5Symbol3& z ArialE& Century Gothic5& zaTahoma;Wingdings?5 z Courier New"1h*.fb* N. N.!pp4d[[ 6QHX ?N[\2Adequacy of Regression Models Regression)regression, adequacy of regression modelsAutar Kaw, Egwu Kalukaw$                           ! " #