Question

You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms).

x	1	5	11	16	26	36
y	39	47	73	100	150	200

(f) The calves you want to buy are 14 weeks old. What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. Round your answer to two decimal places.)

kg

Answer 1

slope=            β̂1   =		r*Sy/Sx=		4.748
intercept=    β̂0    =		(Σy-β1Σx)/n=		26.327

f)

predicted value =26.327+4.748*14=

92.80 kg