Question

The equation of a least-squares regression line is 10+5x . If x increases by one unit, what is the corresponding increase in y ?


A. 10
B. 5
C. 1
D. None of the above.

Answer 1

use plugging in values :D

Answer 2

how do i plug in the values?

Answer 3

f(x)=10+5x
f(x+1)=10+5(x+1)=15+5x
f(x+1)-f(x)=5

Answer 4

lets say we use x = 1 and x = 2, because the question calls for x to increase by 1 unit, so now lets substitute the x-values into y = 10+5x, we get 15 and then 20, therefore we can say that for our particular regression line, for every change in x for 1 unit, the change in y is 5 units, which is B.