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. (a) x size 10.0 (b) x size 6,5 (c) x-size 15.5 (d) size 7.5 Find the regression equation. (Round to three decimal places as needed.) Construct a scatter plot of the data and draw the regression line Plot shoe size on the horizontal axis and height on the vertical axis. Choose the correct graph below. O B. OC. O A. O D.

Explanation / Answer

here b1=Sxy/(Sx*Sy)1/2=51.17/39.33 = 1.3008

also bo=Ybar-b1*Xbar=57.1081

hence regression equation is Yhat=1.301x+57.108

for plot option C is correct

a) for x=10; y=70.1

hence option A

b)y=65.6

option B

c)y=77.3.

option A

d)y=66.9

option A

X: Y: (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi' (Y-Yi')^2 6.00 65.50 17.36 23.36 310.94 64.91314 0.34440983 8.00 66.50 4.69 14.69 238.94 67.51483 1.02988096 9.50 69.50 0.44 0.69 50.69 69.4661 0.0011491 12.00 74.50 3.36 17.36 -243.06 72.71822 3.17473876 12.50 71.50 5.44 1.36 -67.47 73.36864 3.49183065 13.00 74.50 8.03 17.36 -238.89 74.01907 0.23129578 Total 61.00 422.00 39.33 74.83 51.17 8.27330508 mean 10.17 70.33

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