Chapter 4, Problem 70SE

Predicting 3-Point Baskets Data on the 3-point percentage, field-goal percentage, and free-throw percentage for a sample of 50 professional basketball players were obtained. Regression analyses were conducted on the relationships between 3-point percentage and field-goal percentage and between 3-point percentage and free-throw percentage. The StatCrunch results are shown below. (Source: nba.com)

Simple linear regression results:

Dependent Variable: 3 Point %

Independent Variable: Field Goal %

3 Point % $=40.090108–0.091032596$ Field Goal %

Sample size: 50

R (correlation coefficient) $=–0.048875984$

R-sq $=0.0023888618$

Estimate of error standard deviation: 7.7329785

Simple linear regression results:

Dependent Variable: 3 Point %

Independent Variable: Free Throw %

3 Point % $=–8.2347225+0.54224127$

Free Throw %

Sample size: 50

R (correlation coefficient) $=0.57040364$

R-sq $=0.32536031$

Estimate of error standard deviation: 6.3591944

Based on this sample, is there a stronger association between 3-point percentage and field-goal percentage or 3-point percentage and free-throw percentage? Provide a reason for your choice based on the StatCrunch results provided.