Question

You are given the following bivariate data about hours spent studying versus test grade in percent. Below is the data collected from 5 different students.

Studytime(hr) | test Grade(%)

2.0 72.4

2.5 77.0

3.5 86.0

4.0 94.8

5.5 97.1

Let x be the hour spent studying and y be the test grade in percent. Using the data above, we have the following:

n = 5, x ̄ = 3.5, y ̄ = 85.46,
sx = 1.369306, sy = 10.78369, r = 0.948112667

(a) Find the Least Squares Regression Line yˆ.

(b) Predict your test grade if you studied for 4 and a half hours.

(c) Explain why the Least Squares Regression Line would not be applicable if you study for more than 6 hours.

Answer 1