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).

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

Complete parts (a) through (e), given

• x=95,
• y=609,
• x²=2375,
• y²=81,559,
• x y=13,777,and
• r0.997.

(a)Make a scatter diagram of the data. (Select the correct graph.)

(b)Verify the given sumsx,y,x²,y²,x y, and the value of the sample correlation coefficientr. (For each answer, enter a number. Round your value forrto three decimal places.)x= y= x²= y²= x y= r= (c)Find, and. Then find the equation of the least-squares line=a+b x. (For each answer, enter a number. Round your answers forandto two decimal places. Round your answers foraandbto three decimal places.) =x bar = =y bar = =value of a coefficient +value of b coefficient x(d)Graph the least-squares line. Be sure to plot the point (,) as a point on the line. (Select the correct graph.)

(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 are20weeks 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