Find the equation of the regression line for the given data. Then construct a sc

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. font size decreased by 1 font size increased by 1 Shoe size comma xShoe size, x 6.5 7.5 9.5 12.0 13.0 13.5 (a) x=size 10.5 (b) x=size 8.5 Height, y 65.0 66.0 70.0 73.0 71.0 74.0 (c) x=size 14.0 (d) x=size 9.0

Explanation / Answer

Regression Analysis: y versus x

The regression equation is
y = 57.71 + 1.173 x

S = 1.34182   R-Sq = 89.2%   R-Sq(adj) = 86.5%

Analysis of Variance

Source      DF       SS       MS      F      P
Regression   1 59.6314 59.6314 33.12 0.005
Error        4   7.2019   1.8005
Total        5 66.8333

Fitted Line: y versus x

scatter plot

The regression equation is
y = 57.71 + 1.173 x

a) for x=10.5

y=57.71 + 1.173*10.5

     =70.0265

   b)for x=8.5

y=57.71 + 1.173*8.5

     y=67.6805

c)for x=14

y=57.71 + 1.173 *14

     y=74.132

d)for x=9

y=57.71 + 1.173*9

   =68.267

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