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? Letx be the age of the calf (in weeks), and lety be the weight of the calf (in kilograms).

























x

1511162636


y

394773100150200


Complete parts, given

  • Σx = 95,

  • Σy = 609,

  • Σx
    2 = 2375,

  • Σy
    2 = 81,559,

  • Σx y = 13,777, and


  • r ≈ 0.997.


a. Verify the given sums Σx, Σy, Σx
2, Σy
2, Σx y, and the value of the sample correlation coefficientr. (For each answer, enter a number. Round your value forr to three decimal places.)

Σx =

Σy =

Σx
2 =

Σy
2 =

Σx y =


r =



b. Find x, and y . Then find the equation of the least-squares line  =
a +b x. (For each answer, enter a number. Round your answers for x  and y to two decimal places. Round your answers for
a andb to three decimal places.)

 = x bar =

 = y bar =

 = value of
a
coefficient + value of
b
coefficientx



c. Find the value of the coefficient of determination
r
2. What percentage of the variation iny can beexplained by the corresponding variation inx and the least-squares line? What percentage isunexplained? (For each answer, enter a number. Round your answer forr
2 to three decimal places. Round your answers for the percentages to one decimal place.)


r
2 =

explained =  %

unexplained =  %


The calves you want to buy are 10 weeks 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



Jun 05, 2022
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