Question

Consider all observations as one sample of X (1st column) and Y (Second column) values. Answer the following questions:

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 (prediting Y from X) and report the estimated intercept and slope

c) Test whether the slope equals 0. Report your hypothesis, test statistic, p-value

Answer 1

Using Minitab software,(Stat -> Regression -> Regression -> Fit Regression model), we get the following output :

a) The correlation coefficient r = 0.845

b) The estimated regression equation is :

Estimated intercept = -1.099

Estimated slope = 0.06409

c) To test against

The value of the test statistic t = 7.06

P-value = 0