Question

A student conducted a regression analysis between the math grades of his classmates

and the number of times they were absent in the subject. He found that the regression

line y = 97.732 – 2.61x will predict grade (y) if the number of absences (x) is known.

a) What is the predicted grade of a student who has no absences?

b) What is the predicted grade of a student who has ten absences?

c) Sketch the graph of the line predictor.

Answer 1

a)

$$y(0)=97.732 – 2.61(0)=97.732$$

b)

$$y(10)=97.732 – 2.61(10)=71.632$$

c)