Question

one of the following is a correct statement involving correlation. the other three contain blunders. which one is correct? the correlation between the gas mileage of a car and its weight is r = -0.71. the correlation between gpa and hours of sleep per night is r = 1.06. there is a correlation of r = 0.54 between the position a football player plays and his or her weight. the correlation between amount of fertilizer and pounds of tomatoes harvested was found to be r = 0.33.

Explanation:

Step1: Recall correlation coefficient range

The correlation coefficient \(r\) must be in the range \(- 1\leq r\leq1\).

Step2: Analyze each option

The value \(r = 1.06\) is outside the valid range of \(-1\) to \(1\), so the statement "The correlation between GPA and hours of sleep per night is \(r = 1.06\)" is incorrect. The other statements with \(r=-0.71\), \(r = 0.54\) and \(r=0.33\) are within the \(-1\leq r\leq1\) range.

Answer:

The statement "The correlation between GPA and hours of sleep per night is \(r = 1.06\)" is the one with the blunder as the correlation - coefficient value is out of the valid range.