researcher would like to predict the dependent variable YY from the two independent variables X1X1 and X2X2 for a sample of N=20N=20 subjects.  Use multiple linear regression to calculate the coefficient of multiple determination and test the significance of the overall regression model.  Use a significance level α=0.05α=0.05. X1X1 X2X2 YY 65.4 65.8 57.3 72.8 70.8 55.1 63.3 59.9 66.9 59.1 60.4 60.4 65.4 66.9 56.2 58.3 61.9 50.4 57.1 57.1 54.2 78.2 62.5 67.5 54.2 55.9 57.1 56.5 55.5 57.8 57.9 56.2 60.8 54.3 54.8 61.8 68.2 70.5 71.8 60 64.1 58.8 66.6 60.5 54.6 66.7 68.5 51.7 45.1 48.6 57.1 58.4 59.9 55.9 58.6 66.3 52.5 56 60.5 67.1 SSreg= SSres= R2= F= P-value =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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A researcher would like to predict the dependent variable YY from the two independent variables X1X1 and X2X2 for a sample of N=20N=20 subjects.  Use multiple linear regression to calculate the coefficient of multiple determination and test the significance of the overall regression model.  Use a significance level α=0.05α=0.05.

X1X1 X2X2 YY
65.4 65.8 57.3
72.8 70.8 55.1
63.3 59.9 66.9
59.1 60.4 60.4
65.4 66.9 56.2
58.3 61.9 50.4
57.1 57.1 54.2
78.2 62.5 67.5
54.2 55.9 57.1
56.5 55.5 57.8
57.9 56.2 60.8
54.3 54.8 61.8
68.2 70.5 71.8
60 64.1 58.8
66.6 60.5 54.6
66.7 68.5 51.7
45.1 48.6 57.1
58.4 59.9 55.9
58.6 66.3 52.5
56 60.5 67.1



SSreg=
SSres=
R2=
F=
P-value = 

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