How to use least squares

    • [DOCX File]Ms. Gilford's Math

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      Least Squares Regression Line Practice. 1. Candy calories. Here are data from a sample of 12 types of movie candy. Use technology to calculate the equation of the least-squares regression line relating y = calories to x = amount of sugar (in grams). 2. Big TV prices

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    • [DOC File]COMPUTER PROBLEM-SOLVING IN

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      In this exercise you will use least-squares curve fitting to develop two equations to model the data given. Using these equations, we will predict the function values for two inputs and evaluate the prediction made by each of the curves and linear interpolation. Part A. X 5 10 15 20 25 30 35 40 45 50 Y 17 25 31 33 38 37 39 42 44 46 Using the

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    • [DOC File]Derivation of the Ordinary Least Squares Estimator

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      Simple linear regression uses the ordinary least squares procedure. As briefly discussed in the previous chapter, the objective is to minimize the sum of the squared residual, . The idea of residuals is developed in the previous chapter; however, a brief review of this concept is presented here. Residuals are how far the estimated y (using the ...

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    • [DOC File]Least Median of Squares Regression

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      Least squares performs poorly in terms of robustness because a single, aberrant data point, or outlier, can throw the fitted line way off. Figure 1.1: Sensitivity of LS to a Single Outlier. In the example above, the data are the same except for the last Y observation. In the Dirty data set, Y11 equals its clean value plus the Outlier Factor of 100.

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    • [DOC File]EGR 511

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      use least-squares regression to fit (a) a straight line, y = a + bx, (b) a power equation, y = axb, (c) a saturation-growth-rate equation, y = a, and (d) a parabola, y = a + bx + cx2. Plot the data along with all the curves in (a), (b), (c) and (d). Is any one of the curves superior? If so, justify. (e

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    • [DOCX File]msrpeterson.weebly.com

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      Use the mouse to adjust the starting and ending points until you have a line that models the association well. Click the ‘Show least-squares line’ button. How do the two lines compare? One way to measure this is to compare the “Relative SS” – the ratio of the sum of squared residuals from your line and the least-squares regression line.

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