A medicine board would like to investigate the theory that a mother's shoe size can be used to predict an infant's birth weight in pounds. The accompanying table records a random sample of the shoe sizes of 10 mothers and the birth weights of their infants. Complete parts a through f. a. Construct a scatter plot for these data. Choose the correct graph below. O A. O B. OC. OD. 107 101 Birth Weight Shoe Size Shoe Size Birth Weight 7- 10 co- 10 9 Birth Weight Shoe Size Birth Weight Shoe Size b. Calculate the slope and y-intercept for the regression formula. The slope is |and the y-intercept is (Type integers or decimals rounded to three decimal places as needed.) c. Provide an interpretation for the value of the slope. The slope indicates an increase of corresponds to of in the averagec. Provide an interpretation for the Iu'alue of the slope. The slope indicates an increase of |:| corresponds to |:| of El' In the average |:| (Type an integer or decimal rounded to three decimal places as needed.) d. Predict the birth weight for a shoe size of 8.5. The predicted birth weight is D pounds. (Type an integer or decimal rounded to one decimal place as needed.) e. Calculate the SST. SST=D (Type an integer or decimal rounded to two decimal places as needed.) f. Partition the SST into the SSH and the SSE. sea: :| and SSE=|:| (Type integers or decimals rounded to two decimal places as needed.) \f