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    4    9    16    26    36 y    41    48    80    100    150    200 Complete parts (a) through (e), given Σx = 92, Σy = 619, Σx2 = 2326, Σy2 = 82,885, Σxy = 13,653, and r ≈ 0.997.   Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx =     Σy =     Σx2 =     Σy2 =     Σxy =     r =     (c) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x    =  y    =  y hat    =  +   x

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 11P
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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    4    9    16    26    36
y    41    48    80    100    150    200
Complete parts (a) through (e), given Σx = 92, Σy = 619, Σx2 = 2326, Σy2 = 82,885, Σxy = 13,653, and r ≈ 0.997. 

 Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
Σx =    
Σy =    
Σx2 =    
Σy2 =    
Σxy =    
r =    

(c) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)
x    = 
y    = 
y hat    = 

 x 

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