Kardal did a study to determine the correlation between men's heights, x, and their shoe sizes, y, and found the following dаta:

(60, 8.5), (65, 10), (66, 12), (68, 11.5), (63, 9.5), (72, 12.5), (62, 8.5), (69, 12.5), (70, 11.5)

Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply.

A. The prediction is reasonable.

B. The prediction is an interpolation.

C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.

D. A prediction cannot be made for a man who is 80 inches tall.

E. A man who is 80 inches tall will likely wear a size 12.5 shoe.

Question

Mathematics

Peyton Grimes

16 November, 09:09

Kardal did a study to determine the correlation between men's heights, x, and their shoe sizes, y, and found the following dаta:

(60, 8.5), (65, 10), (66, 12), (68, 11.5), (63, 9.5), (72, 12.5), (62, 8.5), (69, 12.5), (70, 11.5)

Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply.

A. The prediction is reasonable.

B. The prediction is an interpolation.

C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.

D. A prediction cannot be made for a man who is 80 inches tall.

E. A man who is 80 inches tall will likely wear a size 12.5 shoe.

+2

Answers (1)

Know the Answer?

Ryann Larson · Answer 1

A. The prediction is reasonable.

C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.

because y = 0.3726 * 80 - 13.91 = 15.898 which is about size 16