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? Letxbe the age of the calf (in weeks), and letybe the weight of the calf (in kilograms).

x1511162636y394773100150200

Complete parts (a) through (e), givenx=95,y=609,x²=2375,y²=81,559,x y=13,777,andr0.997.

(a)

e)

Find the value of the coefficient of determinationr². What percentage of the variation inycan beexplainedby the corresponding variation inxand the least-squares line? What percentage isunexplained? (For each answer, enter a number. Round your answer forr²to three decimal places. Round your answers for the percentages to one decimal place.)

r²=

explained =

%

unexplained =

%

(f)

The calves you want to buy are17weeks 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