Question

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table shows the shoe size and heights (in) for 6 men. Shoe size, x 8.5 10.0 10.5 11.0 13.0 13.5 (a) x= size 9.5 (b)x= size 9.0 Height, y 65.5 66.5 70. 5 69. 5 71. 5 74,5 (c) x = size 15.0 (d) x = size 11.5 Find the regression equation. 9=x+O (Round to three decimal places as needed.)

Answer 1

Plot the points on the graphing calculator. Then generate a linear regression equation. That equation is:

y = 1.633x + 51.568

a) x = 9.5 in., so y = 67.081 in.

b) x = 9.0 in., so y = 66.265 in.

c) x = 15.0 in., so y = 76.062 in.

d) x = 11.5 in., so y = 70.347 in.