A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 16 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 50.2 42 50.5 37.9 53.9 46.7 31 61.5 43.9 48.3 41.5 46.1 47.7 50 50.5 52.2 49.4 42.8 57.8 38.8 43.3 44.9 55.3 56.8 57.3 46.1 59.5 53.7 46.9 55.2 18.5 58.4 33.7 33.6 63.3 37.9 48 42.4 29.1 28.2 61, 46.9 -9.8 76.3 34.4 56.2 44.4 63.6 SSres F P-value = What is your decision for the hypothesis test? O Reject the null hypothesis, Ho:B1 = Bg = 0 O Fail to reject Ho What is your final conclusion? OThe evidence supports the claim that one or more of the regression coefficients is non-zero OThe evidence supports the claim that all of the regression coefficients are zero

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A researcher wvould like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 16 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test the
significance of the overall regression model. Use a significance levela = 0.01.
X1
X2
50.2
42
50.5
37.9
53.9
46.7
31
61.5
43.9
48.3
41.5
46.1
47.7
50
50.5
52.2
49.4
42.8
57.8
38.8
43.3
44.9
55.3
56.8
57.3
46.1
59.5
53.7
46.9
55.2
18.5
58.4
33.7
33.6
63.3
37.9
48
42.4
29.1
28.2
61.1
46.9
-9.8
76.3
34.4
56.2
44.4| 63.6
SSres
%3D
F =
P-value =
What is your decision for the hypothesis test?
O Reject the null hypothesis, Ho:B = B2 = 0
O Fail to reject Ho
What is your final conclusion?
OThe evidence supports the claim that one or more of the regression coefficients is non-zero
OThe evidence supports the claim that all of the regression coefficients are zero
Transcribed Image Text:A researcher wvould like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 16 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test the significance of the overall regression model. Use a significance levela = 0.01. X1 X2 50.2 42 50.5 37.9 53.9 46.7 31 61.5 43.9 48.3 41.5 46.1 47.7 50 50.5 52.2 49.4 42.8 57.8 38.8 43.3 44.9 55.3 56.8 57.3 46.1 59.5 53.7 46.9 55.2 18.5 58.4 33.7 33.6 63.3 37.9 48 42.4 29.1 28.2 61.1 46.9 -9.8 76.3 34.4 56.2 44.4| 63.6 SSres %3D F = P-value = What is your decision for the hypothesis test? O Reject the null hypothesis, Ho:B = B2 = 0 O Fail to reject Ho What is your final conclusion? OThe evidence supports the claim that one or more of the regression coefficients is non-zero OThe evidence supports the claim that all of the regression coefficients are zero
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