You are a researcher testing whether SAT scores predict overall college GPA. Conduct a linear regression...

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

Expert Solution

The dataset contains SAT scores of 12 students and their overall college GPA. We have to conduct a linear regression analysis based on the given data to check whether SAT scores can predict overall college GPA. So, here the SAT scores are independent variables ( x values ) and the overall college GPA is dependent variables ( y values ).

Now, the regression formula is -

y = a + bx , where y= dependent variables

x= independent variables

a and b are constants which we can calculate from the given data.

orchestra answered 2 years ago

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