A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 15 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 a = 0.01. X1 X2 Y 38.4 58.8 48.2 63.4 47.9 55.6 48.4 54.6 33.1 54.9 48.7 47.4 54.8 54.2 51.7 44.1 78.6 64.8 55.3 48 38.6 56.8 54.3 34.1 56.5 61 42.6 52.1 49.2 35.8 57.5 49.4 51.2 55.3 66.7 56.7 57.5 53.5 25.6 71.8 64.4 63.3 29.1 62.8 56.7 SSreg SSres R? 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 Y from the two independent variables
X1 and X2 for a sample of N = 15 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 a =
0.01.
X1
X2
Y
38.4
58.8
48.2
63.4
47.9
55.6
48.4
54.6
33.1
54.9
48.7
47.4
54.8
54.2
51.7
44.1
78.6
64.8
55.3
48
38.6
56.8
54.3
34.1
56.5
61
42.6
52.1
49.2
35.8
57.5
49.4
51.2
55.3
66.7
56.7
57.5
53.5
25.6
71.8
64.4
63.3
29.1
62.8
56.7
Sreg
SS.res
R
F
P-value =
Transcribed Image Text:A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 15 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 a = 0.01. X1 X2 Y 38.4 58.8 48.2 63.4 47.9 55.6 48.4 54.6 33.1 54.9 48.7 47.4 54.8 54.2 51.7 44.1 78.6 64.8 55.3 48 38.6 56.8 54.3 34.1 56.5 61 42.6 52.1 49.2 35.8 57.5 49.4 51.2 55.3 66.7 56.7 57.5 53.5 25.6 71.8 64.4 63.3 29.1 62.8 56.7 Sreg SS.res R F P-value =
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