You wish to determine if there is a linear correlation betweenthe two variables at a significance level of α=0.01α=0.01. You havethe following bivariate data set.
| x | y |
|---|
| 53.8 | 140.7 |
| 59.6 | 106.5 |
| 91.7 | 8.3 |
| 85.5 | 23 |
| 93.1 | 42.2 |
| 77.7 | 48.3 |
| 71.4 | 86.7 |
| 69.5 | 85.1 |
| 80.9 | 59.1 |
| 62.5 | 112.7 |
| 79.6 | 103 |
| 76.6 | 69 |
| 76.1 | 32.1 |
What is the critival value for this hypothesis test?
rc.v. =
What is the correlation coefficient for this data set?
r =
Your final conclusion is that...
- There is sufficient sample evidence to support the claim thatthere is a statistically significant correlation between the twovariables.
- There is insufficient sample evidence to support the claim thethere is a correlation between the two variables.
Note: Round to three decimal places when necessary.
