please solve the problem "by hand" and SAS

show detailed works and steps, use SAS and show the commands.

please don't just give me an SAS output Please provide detailed steps how you get the answers.

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Grade point average The director of admissions of a small college selected 120 students at random from the new freshman class in a study to de- termine whether a student's grade point average (GPA) at the end of the freshman year (Y) can be predicted from the ACT test score (X). The results of the study follow. Assume that rst-order regression model (linear regression model) is appropriate. Obtain the least squares estimates of Bo and By, and state the esti- mated regression function. Plot the estimated regression function and the data. Does the esti- mated regression function appear to t the data well? 3 Obtain a point estimate of the mean freshman GPA for students with ACT test score X = 30. What is the point estimate of the change in the man response when the entrance test score increases by one point