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23 April, 20:23

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

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  1. 23 April, 20:31
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    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
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