ore: 0 of 2 pts 2.23 Find the equation of the regression line for the given data

ID: 3054511 • Letter: O

Question

ore: 0 of 2 pts 2.23 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 21 of 25 (22 complete) HW Score: 76.38%, 38 19 of 50 pts Question Help * correlation.) Then use the regression equation to predict the value of y for each of the giyen x values, if meaningful. The table shows the shoe size and heights (in) for 6 men 650690 710 70.0 730 740 (a) x- size 80 (c) x -size 155 (b) x- size 95 (d)x size 115 Find the regression equation Round to three decimal places as needed)

Explanation / Answer

x^2

y^2

7.5

56.25

4225

487.5

4761

621

10.5

110.25

5041

745.5

121

4900

770

12.5

156.25

5329

912.5

13.5

182.25

5476

999

Ex^2

Ey^2

Exy

422

707

29732

4535.5

b1= n*Exy-Ex*Ey/nEx^2-(Ex)^2

= 6*4535.5-64*422/6*707-(64)^2

= 1.404

b0=Ey-b1Ex/n

=422-(1.404*64)/6

=55.36

y=b0+b1x

=55.36+1.404x

Predictions: -

55.36+1.404*8

66.592

55.36+1.404*9.5

68.698

55.36+1.404*15.5

77.122

55.36+1.404*11.5

71.506