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 regressiorn 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-T8.5 110T15|130|135 (a) x=size 10 0 (b)x-size 10.5 3.5 745 725(c)x-s size 16.0 (d)x- size 70 ei 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 A. O B. OC. ? D. (a) Predict the value of y for x 10.0. Choose the correct answer below O B. 67.9 OC. 71.6 O D. not meaningful (b) Predict the value of y for x 10.5. Choose the correct answer below O A. 679 B. 773 OC. 716 O D. not meaningful (c) Predict the value of y for x 160 Choose the correct answer below ° C. 773 O D. not meaningful (d) Predict the value ofy for x 70 Choose the correct answer below O A. 773 OC, 67.9 D. not meaningful

Answer 1

Solution:-

=> The regression equation y^ = 1.042*x + (60.639)

=> option C.

(a) option A.
For x = 10.0

-> (1.042*10) + (60.639) = 71.059 = 71.1

(b) option C.
For x = 10.5

-> (1.042*10.5) + (60.639) = 71.58 = 71.6

(c) option C.
For x = 16

-> (1.042*16) + (60.639) = 77.311 = 77.3

(d) option C.
For x = 7.0

-> (1.042*7.0) + (60.639) = 67.933 = 67.9