In: Statistics and Probability
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