Question

Suppose the correlation coefficient between heights (as measured in feet) versus weight (as measured in pounds) is 0.40. What is the correlation coefficient of height measured in inches versus weight measured in ounces? [12 inches = one foot; 16 ounces = one pound]

Answer 1

Answer:

Suppose the correlation coefficient of height measured in inches versus weight measured in ounces

then correlation coefficient of height measured in inches versus weight measured in ounces = 0.3

Step-by-step explanation:

the correlation coefficient between heights (as measured in feet) versus weight (as measured in pounds) is 0.40

H ft = 0.4 * W pound

H/W = 0.4

A inches = K   B Ounces

K = coefficient of height measured in inches versus weight measured in ounces

A inches = H ft * 12

A = H/12

B Ounces = W pound * 16

12 H = K  16W

=> 3 H = K 4W

=>  K = (3/4) (H/W)

=> K = (3/4) (0.4)

=> K = 0.3