Question

Students taking an achievement test receive separate scores for the math and verbal sections of the test. The linear model below can be used to predict a student's verbal score, y, based on the student's math score, x.

y = 0.4433x + 307.68

What does the slope of this equation mean in terms of the context of the problem?

Answer 1

Given:

Student's verbal score, y, based on the student's math score, x is

`y=0.4433x+307.68`

To find:

The meaning of slope of this equation in terms of the context of the problem.

Solution:

Slope intercept form of a linear equation is

`y=mx+b` ...(i)

where, m is slope and b is y-intercept.

The given equation is

`y=0.4433x+307.68` ...(ii)

On comparing (i) and (ii), we get

`m=0.4433`

Therefore, the slope of the linear equation is 0.4433. It means, student's verbal score, y increased by 0.4433 if the student's math score, x increased by 1.