For Exercises 39–46, assume the regression requirements are met. Test for the linear relationship between and , using level of significance .
worldtemp
41. World Temperatures. Listed in the following table are the low and high temperatures for a particular day, measured in degrees Fahrenheit, for a random sample of cities worldwide.
| City | Low | High |
|---|---|---|
| Kolkata | 57 | 77 |
| London | 36 | 45 |
| Montreal | 7 | 21 |
| Rome | 39 | 55 |
| San Juan | 70 | 83 |
| Shanghai | 34 | 45 |
13.1.41
: There is no relationship between Low () and High ().
: There is a linear relationship between Low () and High ().
Reject if . Since is , we reject . There is evidence for a linear relationship between Low () and High ().