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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
All work needs to be shown