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
8
634
2.3
9
690
10
711
Mean
688.8
2.18
Variance
1109
0.06
=
(X −X)(Y−Y)
3.15
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