All work needs to be shown Consider all observations as one sample of X (1st column)...

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Statistics

All work needs to be shown
Consider all observations as one sample of X (1st column) and Y(2nd column) values. Answer the following questions: (20points)
78
4.4
74
3.9
68
4
76
4
80
3.5
84
4.1
50
2.3
93
4.7
55
1.7
76
4.9
58
1.7
74
4.6
75
3.4
80
4.3
56
1.7
80
3.9
69
3.7
57
3.1
90
4
42
1.8
91
4.1
51
1.8
a) Calculate the correlation coefficient r
b) Fit the regression model (predicting Y from X) and report theestimated intercept and slope.
c) Test whether the slope equals 0. Report your hypothesis, teststatistic, p-value.Â Â
All work needs to be shown

Answer & Explanation Solved by verified expert

4.1 Ratings (758 Votes)

The given data isXY7844743968476480358441502393475517764958177446753480435617803969375731904421891415118The correlation coefficient is calculated asLet the regression equation beThe estimates of See Answer

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78	4.4
74	3.9
68	4
76	4
80	3.5
84	4.1
50	2.3
93	4.7
55	1.7
76	4.9
58	1.7
74	4.6
75	3.4
80	4.3
56	1.7
80	3.9
69	3.7
57	3.1
90	4
42	1.8
91	4.1
51	1.8

78	4.4
74	3.9
68	4
76	4
80	3.5
84	4.1
50	2.3
93	4.7
55	1.7
76	4.9
58	1.7
74	4.6
75	3.4
80	4.3
56	1.7
80	3.9
69	3.7
57	3.1
90	4
42	1.8
91	4.1
51	1.8