This question require this Excel file, Regression - Illustration - 3IV 1DV - With Tests, which you can find at UMMoodle site of this course in the section of Multiple (Linear) Regression: Basics: In the worksheet Correlations to Model, set the correlations as shown below:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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choose:

A.0.60

B.0.30

C.0.45 

D.0.15

This question require this Excel file, Regression - Illustration - 3IV 1DV - With Tests, which you can find at UMMoodle site of this
course in the section of Multiple (Linear) Regression: Basics:
In the worksheet Correlations to Model, set the correlations as shown below:
X1
.20
.00
R-sq: .13
00
30
X2
Y
.00
.00
X3
Correlation Matrix
Beta
Y
X1
X2
X3
Y
1.000
.200
.300
.000
.20
X1
.200
1.000
.000
.000
.30
X2
.300
.000
1.000
.000
.00
X3
.000
.000
.000
1.000
R-square
.13
All figures rounded to the 2nd decimal place
You can see that the beta of each IV (X1, X2, and X3) are equal to its correlation with the DV (Y). Moreover, the beta of X1 is
smaller than the beta of X2.
Try to change the correlation between X1 and X3 (circled in the picture), and see how the betas change.
For the following X1-X3 correlation, which of them will make the beta of X1 greater than the beta of X2?
Transcribed Image Text:This question require this Excel file, Regression - Illustration - 3IV 1DV - With Tests, which you can find at UMMoodle site of this course in the section of Multiple (Linear) Regression: Basics: In the worksheet Correlations to Model, set the correlations as shown below: X1 .20 .00 R-sq: .13 00 30 X2 Y .00 .00 X3 Correlation Matrix Beta Y X1 X2 X3 Y 1.000 .200 .300 .000 .20 X1 .200 1.000 .000 .000 .30 X2 .300 .000 1.000 .000 .00 X3 .000 .000 .000 1.000 R-square .13 All figures rounded to the 2nd decimal place You can see that the beta of each IV (X1, X2, and X3) are equal to its correlation with the DV (Y). Moreover, the beta of X1 is smaller than the beta of X2. Try to change the correlation between X1 and X3 (circled in the picture), and see how the betas change. For the following X1-X3 correlation, which of them will make the beta of X1 greater than the beta of X2?
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