Question: A store manager tries to correlate the height of his 25 employees with popularity rating based on a recent survey. He plots the popularity rating against the heights of his 25 employees and obtains a linear correlation coefficient, r = 0.456. is there a linear correlation between height and popularity rating for his 25 employees at 95% confidence level and at 99% confidence level?

No, there is no linear correlation at 95% confidence level and 99% confidence level because of the low value of the linear correlation coefficient, r.

Yes, there is linear correlation at 95% confidence level but not at 99% confidence level

Yes there is a linear correlation at 95% and 99% confidence level

There is not enough information to make any judgment on the question of linear correlation