Question

1-You are a researcher testing whether SAT scores predict overall college GPA. Conduct a linear regression analysis with this data by hand. How do your interpret your findings?

SAT	GPA
670	1.2
720	1.8
750	2.3
845	1.9
960	3.0
1000	3.3
1180	3.2
1200	3.4
1370	2.9
1450	3.8
1580	4.0
1600	3.9

Answer 1

Since corelation coefficient is closer to 1 and is positive, this implies that the relationship between SAT and GPA is strong and as SAT score increases, GPA also increases. By our least square regression equation we can say that with increase in one point of SAT there is increase of 0.0024 points in GPA.
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