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

Complete parts (a) through (e), given ?x = 95, ?y = 609, ?x² = 2375, ?y² = 81,559, ?x y = 13,777, and r ? 0.997.

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

(b) Verify the given sums ?x, ?y, ?x², ?y², ?x y, and the value of the sample correlation coefficient r. (For each answer, enter a number. Round your value for r to three decimal places.)

?x = ___________

?y = ___________

?x² = ___________

?y² = ___________

?x y = __________

r = ___________

Findx andy. 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.)