for a sample of N= 19 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. X, | X, Y 50.6 43.6 44.6 31.4 49.4 50.7 44.3 41.6 43 29.2 44.2 31.7 25 18.9 38.6 47.5 47.3 52.2 47.8 36 72 29.2 33.4 58.4 72.5 49.2 40.5 29.9 54 52.5 70.8 -10.7 45.9 46.1 56.9 35.7 -5.4 45.5 33.6 21.1 60.9 46.6 59.3 38.7 84.6 53.3 49.2 54 49.5 51.4 66.9 17.4 45.5 53.3 42.7 69.6 86.8 SS.g F= P-value= What is your decision for the hypothesis test? O Reject the null hypothesis, Ho:B, = B = 0 O Fail to reject H.

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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 = 19 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.
X,
X2
50.6
43.6
44.6
31.4
49.4
44.3
41.6
50.7
43
29.2
44.2
25
18.9
31.7
38.6
47.5
47.3
52.2
47.8
36
72
29.2
58.4 72.5
33.4
40.5
49.2
29.9
54
52.5
46.1| 56.9
35.7
70.8
- 10.7
-5.4
45.5
33.6
21.1
60.9
46.6
59.3
38.7
84.6
53.3
49.2
54
49.5
51.4
66.9
17.4
45.5
53.3
42.7
69.6| 86.8
SS.eg
F =
P-value =
What is your decision for the hypothesis test?
O Reject the null hypothesis, Ha: B = B = 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
O There is insufficient evidence to support the claim that all of the regression coefficients are equal to
zero
|| ||
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 = 19 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. X, X2 50.6 43.6 44.6 31.4 49.4 44.3 41.6 50.7 43 29.2 44.2 25 18.9 31.7 38.6 47.5 47.3 52.2 47.8 36 72 29.2 58.4 72.5 33.4 40.5 49.2 29.9 54 52.5 46.1| 56.9 35.7 70.8 - 10.7 -5.4 45.5 33.6 21.1 60.9 46.6 59.3 38.7 84.6 53.3 49.2 54 49.5 51.4 66.9 17.4 45.5 53.3 42.7 69.6| 86.8 SS.eg F = P-value = What is your decision for the hypothesis test? O Reject the null hypothesis, Ha: B = B = 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 O There is insufficient evidence to support the claim that all of the regression coefficients are equal to zero || ||
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