Afitted multiple regression equation is y = 28 + 5x1 - 4x2 + 7x3 + 2x4. when x1 increases 2 units and x2 increases 2 units as well, while x3 and x4 remain unchanged, what change would you expect in your estimate of y? a. increase by 2
b. decrease by 4
c. increase by 4
d. no change in y

A. Increase by 2

Step-by-step explanation:

Given that a  fitted multiple regression equation is

This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4

The coefficients of independent variables represent the slope.

In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.

Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units

Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y

i.e. for 2 units change in x1, we expect 10 units change in Y

Similarly for 2 units change in x2, we expect -2(4) units change in Y

Put together we have

change in y

Since positive 2, there is an increase by 2

A. Increase by 2

you answer is a

step-by-step explanation:

the answer is y = 11.54

hope this : )