Question

using the regression line to make a prediction
enter values for x and y in the table to plot points in the graph. the ordered pairs show (height in inches, mens shoe size).
(70, 9.5) (67, 8) (69, 9) (72, 11.5) (68, 7.5) (60, 6) (71, 11)
use the regression calculator to generate the regression equation used to make predictions.
what is the approximate height of a man who wears a size 7 shoe? round to the nearest whole number.
inches

Explanation:

Step1: Input data into regression calculator

Input the ordered pairs \((70,9.5)\), \((67,8)\), \((69,9)\), \((72,11.5)\), \((68,7.5)\), \((60,6)\), \((71,11)\) into a regression calculator.

Step2: Obtain regression equation

The regression equation is \(y = 0.35x - 15.3\) (where \(y\) is shoe - size and \(x\) is height).

Step3: Substitute \(y = 7\) into the equation

Set \(y = 7\) in the equation \(7=0.35x - 15.3\).
Then \(0.35x=7 + 15.3\).
\(0.35x=22.3\).
\(x=\frac{22.3}{0.35}\approx64\).

Answer:

\(64\)