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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

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.

(b)Verify the given sumsx,y,x2,y2,x y, and the value of the sample correlation coefficientr. (For each answer, enter a number. Round your value forrto three decimal places.)

x=

y=

x2=

y2=

x y=

r= (

Find, and. 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.)

x =

y =

y= ______ +________ x

(e)Find the value of the coefficient of determinationr2. What percentage of the variation inycan beexplainedby the corresponding variation inxand the least-squares line? What percentage isunexplained? (For each answer, enter a number. Round your answer forr2to three decimal places. Round your answers for the percentages to one decimal place.)

r2=

explained = %

unexplained = %

(f)The calves you want to buy are10weeks 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

Please explain to me how to solve these. I know how to create a scatter plot but after that I'm lost

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