A researcher would like to predic the dependert variable Y from the two independert variables X, and X, for a sample of N= 18 subjects. Use multiple linear regression to calculate the coelficient of multiple determination and test the significance of the overal regression model. Use a signilficance level a= 0.01. XX 53.2 424 56.6 32.2 | 62.9 75 68.2 269 70.1 30.9 57.4 442 70.1 33 I 55.9 63 52 29 67.8 35.3 549 51.1 39.5 574469 605 45.7 527 57.2 | 43.2 I 61.1 49 478 40.4 42 45.7 56.1 42.2 37.3 422 51.8 5a9 47.5 53.4 51.9 37.1 48 46.8 66 33.8 61.7 32.3 53.4| 57.5 SS SS Pvalue What is your decision for the hypothesis test? O Reject the null hypothesis, H;:ß, = B, = 0 OFail to reject H, What is your final condlusion OThe evidence supports the claim that one or more of the regression coefficieres is non zero OThe evidence supports the claim that all of the regression coelficients are zero OThere is insufficient evidence to support the claim that at least one of the regression coelficients is non ero O There is insulfficient evidence to support the claim that all of the regression coefficienes are equal to zero

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1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 30PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...
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A researcher would like to predici the dependent variable Y fram the two independent variables X, and Xg for a sample of N = 18 subjecis. Use muliple linear regression to calculate the coefficient of multiple determination and Lest the
significance of the overall regression model. Use a significance level a = 0.01.
Y
53.2
42.4 56.6
75
32.2
62.9
68.2
26.9
70.1
63
30.9 57,4
52
44.2 70.1
52.9
33
55.9
67.8
35.3 54.9
51.1
49
47.8
39.5 57.4| 46.9
45.7| 52.7
60.5
57.2
43.2
61.1
40.4
42 | 45,7
56.1
42.2 37.3
51.8 | 58.9
53,4 51.9
42.2
47.5
37.1
48
46.8
66
33.8 | 61.7
32.3
53.4 57.5
F=
Pvalue -
What is your decision for the hypothesis test?
O Reject the null hypothesis, H.:B, = B =0
O Fail to reject H,
What is your final conclusion?
O The evidence supports the claim that one ar more of the regression coefficients is non-zero
O The evidence supports the claim that all of the regression coelfficients are zero
OThere 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 predici the dependent variable Y fram the two independent variables X, and Xg for a sample of N = 18 subjecis. Use muliple linear regression to calculate the coefficient of multiple determination and Lest the significance of the overall regression model. Use a significance level a = 0.01. Y 53.2 42.4 56.6 75 32.2 62.9 68.2 26.9 70.1 63 30.9 57,4 52 44.2 70.1 52.9 33 55.9 67.8 35.3 54.9 51.1 49 47.8 39.5 57.4| 46.9 45.7| 52.7 60.5 57.2 43.2 61.1 40.4 42 | 45,7 56.1 42.2 37.3 51.8 | 58.9 53,4 51.9 42.2 47.5 37.1 48 46.8 66 33.8 | 61.7 32.3 53.4 57.5 F= Pvalue - What is your decision for the hypothesis test? O Reject the null hypothesis, H.:B, = B =0 O Fail to reject H, What is your final conclusion? O The evidence supports the claim that one ar more of the regression coefficients is non-zero O The evidence supports the claim that all of the regression coelfficients are zero OThere 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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