Data on the 3-point percentage, field-goal percentage, and free-throw percentage for a sample of 50 professional basketball
Question:
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 freethrow percentage. The StatCrunch results are shown below.
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 freethrow percentage? Provide a reason for your choice based on the StatCrunch results provided.
Step by Step Answer:
Introductory Statistics Exploring The World Through Data
ISBN: 9780135163146
3rd Edition
Authors: Robert Gould, Rebecca Wong, Colleen N. Ryan