Question

Camille asked five of her friends how long they studied for the last math test and what grade they received. She found a linear regression equation for the data to be y = 9.6x + 65.8, with x representing hours.

What does the 9.6 and the 65.8 mean in the context of this equation?
A) 9.6 = the lowest score you can get;
65.8 = the highest score you can get
B) 9.6 = the number of points you would increase each hour of studying;
65.8 = your score if you studied 0 hours
C) 9.6 = the number of points you would increase each hour of studying;
65.8 = the highest score you can get
D) 9.6 = the number of hours you studied;
65.8 = your score if you studied 0 hours

Answer 1

B. 9.6 = the number of points you would increase each hour of studying;

65.8 = your score if you studied 0 hours

Explanation:

A linear regression equation y = 9.6x + 65.8, with x representing hours.

When x = 0, then y = 65.8. This means

65.8 = your score if you studied 0 hours

When x = 1, then

`y=9.6+65.8=75.4`

is your score after studying one hour.

The score increased by
`75.4-65.8=9.6,` so

9.6 = the number of points you would increase each hour of studying.