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 $y = 5.43x - 225.3$. use the linear regression to determine the weight of a 64\ tall player to the nearest pound.

Explanation:

Step1: Convert height to inches

6 feet 4 inches = $6\times12 + 4 = 76$ inches

Step2: Substitute $x=76$ into regression equation

$y = 5.43\times76 - 225.3$

Step3: Calculate the result

First compute $5.43\times76 = 412.68$, then $412.68 - 225.3 = 187.38$

Step4: Round to nearest pound

$187.38 \approx 187$

Answer:

187