Question

The scatter plot shows the relationship between study time and test scores Which equation could be used to describe a best-fit line?

Answer 1

To find the equation that describe the fit, we have to find the slope and the intercept with the y axis, in the graph we can see that the intercept is 62.5 and the slope can be find with this equation:

`m=(y_2-y_1)/(x_2-x_1)`

So we replace two coordinates, so i can see (10, 65) and (40, 75) so:

`m=(75-65)/(40-10)=(10)/(30)=(5)/(15)=(1)/(3)`

So the equation is:

`y=(1)/(3)x+62.5`