SSreg SSres F = P-value = What is your decision for the hypothesis test? O Reject the null hypothesis, Ho:B1 = B2 = 0 O Fail to reject Ho What is your final conclusion? O The evidence supports the claim that one or more of the regression coefficients is non-zero O The evidence supports the claim that all of the regression coefficients are zero O There is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero

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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 = 18 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 = 0.02.
X1
X2 Y
80.1
65.9
67.2
71.4
55.7
53.2
52.7
67.8
61.4
70.8
54.3
24.3
70.3
63.4
22.6
50.5
39.9
2.7
47.6
59.1
60.5
35.1
57
39.6
41
59.3
21.8
52.3
49.3
16.7
62.7
67.1
64.2
73.5
47.1
10.2
33.5
58.5
23
37.4
71.2
43.7
41.6
38.8
34.6
76.6
48.7
48.7
57.4
47.6
10.5
34.4
53.6
35
SSreg
SSres
R
=
F =
P-value =
What is your decision for the hypothesis test?
O Reject the null hypothesis, Ho:B1 = Bz = 0
O Fail to reject Ho
What is your final conclusion?
O The evidence supports the claim that one or more of the regression coefficients is non-zero
The evidence supports the claim that all of the regression coefficients are zero
O There is insufficient evidence to support the claim that at least one of the regression
coefficients is non-zero
it
TTT TT
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 = 18 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 = 0.02. X1 X2 Y 80.1 65.9 67.2 71.4 55.7 53.2 52.7 67.8 61.4 70.8 54.3 24.3 70.3 63.4 22.6 50.5 39.9 2.7 47.6 59.1 60.5 35.1 57 39.6 41 59.3 21.8 52.3 49.3 16.7 62.7 67.1 64.2 73.5 47.1 10.2 33.5 58.5 23 37.4 71.2 43.7 41.6 38.8 34.6 76.6 48.7 48.7 57.4 47.6 10.5 34.4 53.6 35 SSreg SSres R = F = P-value = What is your decision for the hypothesis test? O Reject the null hypothesis, Ho:B1 = Bz = 0 O Fail to reject Ho What is your final conclusion? O The evidence supports the claim that one or more of the regression coefficients is non-zero The evidence supports the claim that all of the regression coefficients are zero O There is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero it TTT TT
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