Shoe Size, x Height, y

8.5 66.0

9.0 69.0

9.0 67.5

9.5 70.0

10.0 70.5

10.0 72.5

10.5 71.0

10.5 70.0

11.0 71.0

11.0 71.5

11.0 72.5

12.0 73.0

12.0 73.5

12.5 74.0

The accompanying data are the shoe sizes and heights (in inches) of 14 men. Find the equation of the regression line. Then construct a scatter plot of the dam and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a)x=11.5 (b)x=8.0 (c)x=15.5 (d)x=10.0 a Click the icon to view the table of shoe sizes and heights. The equation of the regression line is ,7: x+ (Round to two 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. 0 A. o B. o c. o o. 75 ' Q ' 75 q tr 75 65 65 (a) Predict the height for a shoe size of 11.5, if it is meaningful. Select the correct choice below and, if necessary, ll in the answer box within your choice. O A' 9: in. (Round to two decimal places as needed.) O B. It is not meaningful to predict this value of y because x= 11.5 is inside the range of the original data. 0 C. It is not meaningful to predict this value of y because X: 11.5 is not an x-value in the original data. (b) Predict the height for a shoe size of 8.0, if it is meaningful. Select the correct choice below and, if necessary, ll in the answer box within your choice. O 1" = in. (Round to two decimal places as needed.) O B. It is not meaningful to predict this value of y because x= 8.0 is not an x-value in the original data. C C. It is not meaningful to predict this value of y because x= 8.0 is well outside the range of the original dam. (c) Predict the height for a shoe size of 15.5, if it is meaningful. Select the correct choice below and, if necessary, ll in the answer box within your choice. O A- 9: in. (Round to two decimal places as needed.) O B. It is not meaningful to predict this value of y because x= 15.5 is well outside the range of the original data. 0 C. It is not meaningful to predict this value of y because x= 15.5 is not an x-value in the original data. (d) Predict the height for a shoe size of 10.0, if it is meaningful. Select the correct choice below and, if necessary, ll in the answer box within your choice. O A' = in. (Round to two decimal places as needed.) O B. It is not meaningful to predict this value of y because x= 10.0 is inside the range of the original data. 0 C. It is not meaningful to predict this value of y because X: 10.0 is not an x-value in the original data