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)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 62CR
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6559c368-f33d-4802-a7ce-7ac3ce443794%2F569caf89-a2c8-4553-9a30-2a0981b46591%2Fitptf3d_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6559c368-f33d-4802-a7ce-7ac3ce443794%2F569caf89-a2c8-4553-9a30-2a0981b46591%2Fagvv6rm_processed.jpeg&w=3840&q=75)
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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