5
QuizMultiple Choice

Making Predictions from a Least-Squares Regression Line

Question 5 • DRHS GA-Statistical Reasoning

A sports-equipment researcher was interested in the relationship between the speed of a golf club (in feet per second) and the distance a golf ball travels (in yards). Information was collected on several golfers and was used to obtain the regression equation ŷ = 2x - 106, where x represents the club speed and ŷ is the predicted distance. What is the predicted distance of a ball that is hit with a club speed of 168 ft/sec?

Answer
A
106 yards
B
137 yards
C
230 yards
D
336 yards

Explanation

Substitute the club speed, 168, for x in the regression equation: ŷ = 2(168) − 106 = 336 − 106 = 230. The predicted distance is 230 yards, which is choice C.

AI-written and checked against the verified answer.

Previous
Next