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4. A least squares regression line to predict a student’s Stat145 test score (from 0-to-100) from the number of hours studied was determined from a class of 55 Stat145 students: ̂ = 48.2 + 2.21x. One student in the class studied for 18 hours and scored 82 on the exam.
(a) (5 pts.) What is the predicted value of this student’s Stat145 exam score?
(b) (5 pts.) What is the residual for this student?
(c) Explain what the slope of this least squares regression line tells us with regard to the explanatory and response variables. Be specific with regard to the value of the slope