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 r2 four 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
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 r2 four 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
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