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?...

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 9 16 26 36

y 37 49 75 100 150 200

given Σx=93 Σy=611 Σx²=2335 Σy²=81895 Σxy =13657 and r =.9985

a) Find x and y. Then find the equation of the least squares line ^
                                      Y=a+bx (round 4 decimals places)

x=
y=

^
y=___+____x

b) Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x ans the least squares line? What percentage is unexplained?(round your r²four decimal places. Round your answers for the percentages to two decimal places.)

r²=___
explained=___%
unexplained=___%
c) the calves you want to buy are 24 weeks old. What does the least squares line predict for a healthy weight?( round your answer two decimal places)

___ kg