At the university level, the stereotype of the dumb jock might be strong and ever present; however,

At the university level, the stereotype of the €œdumb jock€ might be strong and ever present; however, a fair amount of research shows that athletes maintain decent grades and competitive graduation rates when compared to nonathletes. Let€™s play with some data to explore the relation between grade point average (GPA) and participation in athletics. Data are presented here for a hypothetical basketball team, including the GPA on a scale of 0.00 to 4.00 for each athlete and the average number of minutes played per game.

a. Create a scatterplot of these data and describe your impression of the relation between these variables based on the scatterplot. 

b. Compute the Pearson correlation coefficient for these data. 

c. Explain why the correlation coefficient you just computed is a descriptive statistic, not an inferential statistic. What would you need to do to make this an inferential statistic?

d. Perform the six steps of hypothesis testing. 

e. What limitations are there to the conclusions you can draw based on this correlation? 

f. How else could you have studied this phenomenon such that you might have been able to draw a more sound, causal conclusion?

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4.00 6.00 6.00 3.00 7.00 7.00 5.00 8.00 9.00 4.00 10.00 12.00 12.00 9.00 14.00 8.00 Mx = 8.75 My = 6.75 = 3.031 SDy = 2.727 SDx =