Question

Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear regression equation for the data to be y = 9.6x + 65.8. What does the 9.6 mean in the context of this equation?

Answer 1

 The value 65.8 is the y-intercept which means that we will get y = 65.8 if x is equal to zero. This means that 65.8 is the score that one can get if he does not study at all. 

Answer 2

slope 9.6 represents change in grade over time taken to study for the last math test

Explanation:

Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear regression equation for the data to be y = 9.6x + 65.8.

y= 9.6 x + 65.8

from the equation y = mx+b, m is the slope and b is the y intercept

From the given equation

slope = 9.6 and y intercept = 65.8

slope 9.6 represents change in grade over time taken to study for the last math test