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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 3 4 12 16 26 36 y 42 54 77 100 150 200 Complete parts (a) through (e), given Σx = 97, Σy = 623, Σx2 = 2397, Σy2 = 83,109, Σxy = 13,966, and r ≈ 0.997. A)  Find x, and y. Then find the equation of the least-squares line  = 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 =    =  +  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 and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal…

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  Σx = 95,   Σy = 609,   Σx2 = 2375,   Σy2 = 81,559,   Σx y = 13,777, and   r ≈ 0.997. (a) Make a scatter diagram of the data. (Select the correct graph.)   (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σx y, and the value of the sample correlation coefficient r. (For each answer, enter a number. Round your value for r to three decimal places.) Σx =  Σy =  Σx2 =  Σy2 =  Σx y =  r =  (c) Find , and . Then find the equation of the least-squares line  = a + b x. (For each answer, enter a number. Round your answers for  and  to two decimal places. Round your answers for a and b to three decimal…

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 3 4 9 16 26 36 y 43 46 79 100 150 200 Complete parts (a) through (e), given Σx = 94, Σy = 618, Σx2 = 2334, Σy2 = 82,706, Σxy = 13,724, and r ≈ 0.998. (a) Draw a scatter diagram displaying the data.(b) 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  = 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_____ + ______x (d) Graph the least-squares line. Be sure to plot the point (x, y) as…