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Regression model for GPA and ACT

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The attached table contains the ACT scores and the GPA scores (grade point average) for 8 students. GPA is based on a 4 point scale and has been rounded to one digit after the decimal.

(i) Using Ordinary Least Squares regression, obtain the estimated parameters in the following equation:
(ii) Compute the fitted values and residuals for each observation, and verify that they sum approximately to zero.
(iii) How much of the variation in GPA is explained by ACT?

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Regression model for GPA and ACT.
The solution contain slope, intercept, correlation, scatter diagram, r-square, coefficient of determination and regression coefficients. The interpretations of results are also given.

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Please see the attached files.

Student GPA ACT
1 2.8 21
2 3.4 24
3 3 26
4 3.5 27
5 3.6 29
6 3 25
7 2.7 25
8 3.7 30

The above table contains the ACT scores and the GPA scores (grade point average) for 8 students. GPA is based on a 4 point scale and has been rounded to one digit after the decimal.

(i) Using Ordinary Least Squares ...

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