Question

below are the heights (in inches) vs weights (in pounds) of the players of a professional soccer team.
a linear regression has been performed and the equation for the line of best fit is ( y = 5.43x - 225.8 ).
use the linear regression to determine the weight of a 64\ tall player to the nearest pound.

Explanation:

Step1: Convert height to inches

First, convert 6'4" to total inches. 6 feet is $6 \times 12 = 72$ inches, plus 4 inches gives $x = 72 + 4 = 76$ inches.

Step2: Substitute x into regression equation

Plug $x=76$ into $y = 5.43x - 225.3$.
$y = 5.43 \times 76 - 225.3$

Step3: Calculate the result

First compute $5.43 \times 76 = 412.68$, then subtract 225.3:
$y = 412.68 - 225.3 = 187.38$

Step4: Round to nearest pound

Round 187.38 to the nearest whole number, which is 187.

Answer:

187