Question

The equation for the least-squares regression line for number of theft crimes, x, compared with the number of burglary crimes, y, in the U.S. is represented by ŷ = 1.37x + 110,383.27. What is the number of theft crimes if the number of burglary crimes is 112,450?

A 1,508.56 theft crimes
B 264,440 theft crimes
C 162,652 theft crimes
D 43,673.23 theft crimes

Answer 1

Given: X - number of theft crimes

Y - number of burglary crimes

The given regression equation is

ŷ = 1.37x + 110,383.27.

We have to find x for given value of y = 112,450

Using value of y in regression equation gives

112450 = 1.37x + 110383.27

112450 - 110383.27 = 1.37x

2066.73 = 1.37x

x = 1508.562

So the number of theft crimes is 1508.56