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Computer exercise. (a) Does the data in Table 6 show a purely linear trend or is there some obvious curvature. Base your answer on a scatter plot. (b) Create new variables X1, X2, and X3 equal to vX – 15, 18 19 22 27 34 Y 70 74 80 86 95 Table 6 VX - 16, and VX- 17, respectively, and give the correlation matrix of the five variables Y, X, X1, X2, and X3. (c) Regress Y upon the new variable whose correlation with Y is greatest, and give the equation of the least squares line. (d) Using the result of part (c), | |

Computer exercise. (a) Does the data in Table 6 show a purely linear trend or is there some obvious curvature. Base your answer on a scatter plot. (b) Create new variables X1, X2, and X3 equal to vX – 15, 18 19 22 27 34 Y 70 74 80 86 95 Table 6 VX - 16, and VX- 17, respectively, and give the correlation matrix of the five variables Y, X, X1, X2, and X3. (c) Regress Y upon the new variable whose correlation with Y is greatest, and give the equation of the least squares line. (d) Using the result of part (c), | |

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 62CR
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1 Computer exercise. (a) Does the data in Table 6 show a purely linear trend or is there some obvious curvature. Base your answer on a scatter plot. (b) Create new variables X1, X2, and X3 equal to vX – 15, X| 18 Y 70 74 80 86 95 19 22 27 34 Table 6 VX - 16, and VX - 17, respectively, and give the correlation matrix of the five variables Y, X, X1, X2, and X3. (c) Regress Y upon the new variable whose correlation with Y is greatest, and give the equation of the least squares line. (d) Using the result of part (c), give a nonlinear equation in the original variables X and Y that fits
Transcribed Image Text:1 Computer exercise. (a) Does the data in Table 6 show a purely linear trend or is there some obvious curvature. Base your answer on a scatter plot. (b) Create new variables X1, X2, and X3 equal to vX – 15, X| 18 Y 70 74 80 86 95 19 22 27 34 Table 6 VX - 16, and VX - 17, respectively, and give the correlation matrix of the five variables Y, X, X1, X2, and X3. (c) Regress Y upon the new variable whose correlation with Y is greatest, and give the equation of the least squares line. (d) Using the result of part (c), give a nonlinear equation in the original variables X and Y that fits
the data. (e) Make a scatter plot of the original data, with Y on the vertical axis, and include the graph of the equation from part (d) in the scatter plot.
Transcribed Image Text:the data. (e) Make a scatter plot of the original data, with Y on the vertical axis, and include the graph of the equation from part (d) in the scatter plot.
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