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9. A statistical analysis of first year GPA's and SAT scores is taken by a university admissions office. The scatter diagram of the data

 

9. A statistical analysis of first year GPA's and SAT scores is taken by a university admissions office. The scatter diagram of the data is football shaped, i.e., assume that fitting a regression line to the data is appropriate in this case. A summary of the data is: Average GPA = 2.3 with an SD = 0.5 Average SAT = 1025 with an SD = 150. r = 0.8. (a) Predict the first year GPA of an applicant. (b) Predict the first year GPA of an applicant that scored 1100 on the SAT.

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