A researcher was interested in estimating the relationship between SAT scores and first year GPA. He looked at the data from a university which requires minimum SAT scores of 600 to enter the...


A researcher was interested in estimating the relationship between SAT scores and first year GPA. He looked at the data from a university which requires minimum SAT scores of 600 to enter the university (Note. The possible SAT score is between 200-800). The data from this experiment are presented below.










































































Student ID



SAT(X)



GPA (Y)



1



680



2.4



2



745



2.1



3



670



2.2



4



720



2.5



5



653



2.0



6



710



1.8



7



675



1.8



8



634



2.3



9



690



2.4



10



711



2.3



Mean



688.8



2.18



Variance



1109



0.06



=






(X −X)(Y−Y)






3.15















  1. Compute the Pearson correlation (r) and interpret the coefficient in terms of the direction (positive or negative) and strength of the relationship (weak, moderate, or strong)
















  1. Many previous studies have found that there is a strong positive relationship between SAT score and the first year GPA. Is your conclusion from question (a) consistent with the previous studies? If not, explain what factor(s) might cause the correlation in this sample to be small.





Jun 03, 2022
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