SOLUTION: In a multiple regression model y' = –11 + 5x1 + 21x2 + 11x3 + 3x4, if the x1 value changes by 2, then the predicted value for y will change by 10 42 –1 29

Algebra ->  Probability-and-statistics -> SOLUTION: In a multiple regression model y' = –11 + 5x1 + 21x2 + 11x3 + 3x4, if the x1 value changes by 2, then the predicted value for y will change by 10 42 –1 29       Log On


   

Question 1088261: In a multiple regression model y' = –11 + 5x1 + 21x2 + 11x3 + 3x4, if the x1 value changes by 2, then the predicted value for y will change by

10

42

–1

29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y' = –11 + 5x1 + 21x2 + 11x3 + 3x4

y' = –11 + 5x1 + 21x2 + 11x3 + 3x4 ... focus on the x1 term

y' = –11 + 5(x1) + 21x2 + 11x3 + 3x4 ... surround the x1 in parenthesis

y' = –11 + 5(x1+2) + 21x2 + 11x3 + 3x4 ... Replace x1 with x1+2 (to indicate a change by 2)

y' = –11 + 5(x1+2) + 21x2 + 11x3 + 3x4

y' = –11 + 5x1+5*2 + 21x2 + 11x3 + 3x4

y' = –11 + 5x1 + 21x2 + 11x3 + 3x4 + 5*2

y' = –11 + 5x1 + 21x2 + 11x3 + 3x4 + 10

y' = –11 + 5x1 + 21x2 + 11x3 + 3x4 + 10

The portion in blue of the equation above represents the old y' value before x1 changed to x1+2.

Note how we simply add 10 this old y' value to get the new y' value.

So y' is changing by 10 when x1 changes by 2

---------------------------------------------------------------------
---------------------------------------------------------------------

Answer: Choice A) 10