ࡱ>  Ҩbjbj @hh% 8 DQd s<"B B B *r,r,r,r,r,r,r$GuwPruB > B B B Prgrj&j&j&B j*rj&B *rj&j&k6RoPOr ZnFrr0 snx|!xRoRox*pB B j&B B B B B PrPr$hB B B sB B B B xB B B B B B B B B : DS 101 Version R082 Sample Exam Questions Simple Linear Regression Questions 1. In regression analysis, the model in the form  is called a.regression equationb.correlation equationc.estimated regression equationd.regression model 2. The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = b0 + b1x, is known as a.regression equationb.correlation equationc.estimated regression equationd.regression model 3. The model developed from sample data that has the form of  is known as a.regression equationb.correlation equationc.estimated regression equationd.regression model 4. In regression analysis, the unbiased estimate of the variance is a.coefficient of correlationb.coefficient of determinationc.mean square errord.slope of the regression equation 5. The interval estimate of the mean value of y for a given value of x is a.prediction interval estimateb.confidence interval estimatec.average regressiond.x versus y correlation interval 6. The standard error is the a.t-statistic squaredb.square root of SSEc.square root of SSTd.square root of MSE 7. If MSE is known, you can compute the a.r squareb.coefficient of determinationc.standard errord.all of these alternatives are correct 8. In regression analysis, which of the following is not a required assumption about the error term e? a.The expected value of the error term is one.b.The variance of the error term is the same for all values of X.c.The values of the error term are independent.d.The error term is normally distributed. 9. Larger values of r2 imply that the observations are more closely grouped about the a.average value of the independent variablesb.average value of the dependent variablec.least squares lined.origin 10. In a regression and correlation analysis if r2 = 1, then a.SSE must also be equal to oneb.SSE must be equal to zeroc.SSE can be any positive valued.SSE must be negative 11. In a regression and correlation analysis if r2 = 1, then a.SSE = SSTb.SSE = 1c.SSR = SSEd.SSR = SST 12. The coefficient of correlation a.is the square of the coefficient of determinationb.is the square root of the coefficient of determinationc.is the same as r-squared.can never be negative 13. In regression analysis, if the independent variable is measured in pounds, the dependent variable a.must also be in poundsb.must be in some unit of weightc.cannot be in poundsd.can be any units 14. A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation  = 50,000 - 8X The above equation implies that an a.increase of $1 in price is associated with a decrease of $8 in salesb.increase of $8 in price is associated with an increase of $8,000 in salesc.increase of $1 in price is associated with a decrease of $42,000 in salesd.increase of $1 in price is associated with a decrease of $8000 in sales 15. Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained.  = 500 + 4 X Based on the above estimated regression line if advertising is $10,000, then the point estimate for sales (in dollars) is a.$900b.$900,000c.$40,500d.$505,000 Multiple Regression Questions 1. The mathematical equation relating the expected value of the dependent variable to the value of the independent variables, which has the form of E(y) =  is a.a simple linear regression modelb.a multiple nonlinear regression modelc.an estimated multiple regression equationd.a multiple regression equation 2. The estimate of the multiple regression equation based on the sample data, which has the form of E(y) =  a.a simple linear regression modelb.a multiple nonlinear regression modelc.an estimated multiple regression equationd.a multiple regression equation 3. The mathematical equation that explains how the dependent variable y is related to several independent variables x1, x2, ..., xp and the error term e is a.a simple nonlinear regression modelb.a multiple regression modelc.an estimated multiple regression equationd.a multiple regression equation 4. A measure of the effect of an unusual x value on the regression results is called a.Cook s Db.Leveragec.odd ratiod.unusual regression 5. In a multiple regression model, the error term e is assumed to be a random variable with a mean of a.zerob.-1c.1d.any value 6. A regression model in which more than one independent variable is used to predict the dependent variable is called a.a simple linear regression modelb.a multiple regression modelc.an independent modeld.None of these alternatives is correct. 7. A multiple regression model has the form  As x1 increases by 1 unit (holding x2 constant), y is expected to a.increase by 9 unitsb.decrease by 9 unitsc.increase by 2 unitsd.decrease by 2 units 8. A multiple regression model has the form  As X increases by 1 unit (holding W constant), Y is expected to a.increase by 11 unitsb.decrease by 11 unitsc.increase by 6 unitsd.decrease by 6 units Exhibit 15-2 A regression model between sales (Y in $1,000), unit price (X1 in dollars) and television advertisement (X2 in dollars) resulted in the following function:  For this model SSR = 3500, SSE = 1500, and the sample size is 18. 9. Refer to Exhibit 15-2. The coefficient of the unit price indicates that if the unit price is a.increased by $1 (holding advertising constant), sales are expected to increase by $3b.decreased by $1 (holding advertising constant), sales are expected to decrease by $3c.increased by $1 (holding advertising constant), sales are expected to increase by $4,000d.increased by $1 (holding advertising constant), sales are expected to decrease by $3,000 10. Refer to Exhibit 15-2. 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Which equation gives the estimated regression line? a.Equation Ab.Equation Bc.Equation Cd.Equation D 13. Which equation describes the multiple regression equation? a.Equation Ab.Equation Bc.Equation Cd.Equation D Exhibit 15-5 Below you are given a partial Minitab output based on a sample of 25 observations. CoefficientStandard ErrorConstant145.32148.682X125.6259.150X2-5.7203.575X30.8230.183 14. Refer to Exhibit 15-5. The estimated regression equation is a.b.c.d. 15. Refer to Exhibit 15-5. The interpretation of the coefficient on X1 is that a.a one unit change in X1 will lead to a 25.625 unit change in Yb.a one unit change in X1 will lead to a 25.625 unit increase in Y when all other variables are held constantc.a one unit change in X1 will lead to a 25.625 unit increase in X2 when all other variables are held constantd.It is impossible to interpret the coefficient.     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