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 table shows the shoe size and heights (in.) for 6 men Shoe size, x Height 7.5 65.5 9.5 69.5 11.0 71.5 11.5 72.5 13.0 73.5 13.5 72.5 Find the regression equation (Round to three decimal places as needed.) Choose the correct graph below 75 6 14 14 14 Shoe size Shoe size Shoe size Shoe size

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Answer #1

Solution :

Given that x as 7.5 , 9.5 , 11.0 , 11.5 , 13.0 , 13.5

y as 65.5, 69.5, 71.5 , 72.5 , 73.5 , 72.5

=> The equation of the regression line is y^ = 1.240*x + 57.193

Explanation We wll find an equation of the regression line in 4 steps Step 1: Find X.Yand X2 as it was done in the table below 7.5 9.5 11.0 65.5 69.5 71.5 72.5 73.5 72.5 491.25 660.25 786.5 833.75 955.5 978.75 56.25 90.25 132.25 169 182.25 13.0 13.5 Step 2: Find the sun of every column: Step 3: Use the following equations to find a and b a-ΣΥ.ΣΧ2-Σχ . ΣΧΥ-425 . 751-66.4706 57.193 6.751-662 1.24 Step 4: Substitute a and b in regression equation formula y-57.193 + 1.242

=> Option C. graph

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