Question

B) critical values

C)Is there sufficient evidence to conclude that there is a linear correlation between the two​ variables?

The data below shows the high temperatures and the times (in minutes) runners who won a marathon. Answer parts a-c. Temperature (x) 56 63 47 64 Time (y) 145.687 144.156 144.086 148.362 70 147.244 75 148.207 51 146.538 60 148.892 Click here to view a table of critical values for the correlation coefficient. a. Find the value of the linear correlation coefficient r. r= .547 (Round to three decimal places as needed.) b. Find the critical values of r from the table showing the critical values for the Pearson correlation coefficient using a = 0.05. The critical values are + (Round to three decimal places as needed.)

Answer 1

Solution :

Given that ,

n = 8

df = 8 - 2 = 6

$\alpha$ / 2 = 0.025

Critical value = $\pm$ 0.707

There is not sufficient evidence to conclude that there is a linear correlation between the two​ variables .