Question

In: Statistics and Probability

The data below shows the high temperatures and the times​ (in minutes) runners who won a...

The data below shows the high temperatures and the times​ (in minutes) runners who won a marathon. Answer parts ​a-c.

Temperature​ (x)

5858

63

50

62

72

73

50

57

Time​ (y)

1145.882

146.683

145.931

146.604

147.965

144.267

148.503

147.643

a. Find the value of the linear correlation coefficient r.

b. Find the critical values of r from the table showing the critical values for the Pearson correlation coefficient using

alpha=0.05

c. Is there sufficient evidence to conclude that there is a linear correlation between the two​ variables

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