Data on the 3-point percentage, field-goal percentage, and free-throw percentage for a sample of 50 professional basketball

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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.

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Related Book For  book-img-for-question

Introductory Statistics Exploring The World Through Data

ISBN: 9780135163146

3rd Edition

Authors: Robert Gould, Rebecca Wong, Colleen N. Ryan

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