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 36y 39 47 73 100 150 200Complete 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.)A scatter diagram with 6 points is graphed on the x y coordinate plane. The points are located at (3, 39), (7, 47), (13, 73), (18, 100), (28, 150), (38, 200). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. A scatter diagram with 6 points is graphed on the x y coordinate plane. The points are located at (1, 29), (5, 37), (11, 63), (16, 90), (26, 140), (36, 190). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. A scatter diagram with 6 points is graphed on the x y coordinate plane. The points are located at (1, 39), (5, 47), (11, 73), (16, 100), (26, 150), (36, 200). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. A scatter diagram with 6 points is graphed on the x y coordinate plane. The points are located at (3, 29), (7, 37), (13, 63), (18, 90), (28, 140), (38, 190). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. Correct: Your answer is correct.(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 = Correct: Your answer is correct.Σy = Correct: Your answer is correct.Σx2 = Correct: Your answer is correct.Σy2 = Correct: Your answer is correct.Σx y = Correct: Your answer is correct.r = Correct: Your answer is correct.(c)Find x bar, and y bar. Then find the equation of the least-squares line y hat = a + b x. (For each answer, enter a number. Round your answers for x bar and y bar to two decimal places. Round your answers for a and b to three decimal places.)x bar = x bar = y bar = y bar = y hat = value of a coefficient value of b coefficient (d)Graph the least-squares line. Be sure to plot the point (x bar, y bar) as a point on the line. (Select the correct graph.)A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 132). The line enters the window at approximately y = 201 on the positive y axis, goes down and right, passes through the approximate point (15.8, 132), and exits the window in the first quadrant. A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 102). The line enters the window at approximately y = 26 on the positive y axis, goes up and right, passes through the approximate point (15.8, 102), and exits the window in the first quadrant. A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 132). The line enters the window at approximately y = 56 on the positive y axis, goes up and right, passes through the approximate point (15.8, 132), and exits the window in the first quadrant. A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 102). The line enters the window at approximately y = 171 on the positive y axis, goes down and right, passes through the approximate point (15.8, 102), and exits the window at approximately x = 39.1 on the positive x axis. Correct: Your answer is correct.(e)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? (For each answer, enter a number. Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)r2 = Correct: Your answer is correct.explained = Correct: Your answer is correct. %unexplained = Correct: Your answer is correct. %(f)The calves you want to buy are 20 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.) Incorrect: Your answer is incorrect. kgAnswer F ONLY

Name: You are the foreman of the Bar-S cattle ranch in Colorado. A neighbori
Uploaded: 2024-03-05T11:52:21.000Z
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Description: 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

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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	5	11	16	26	36y	39	47	73	100	150	200Complete 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.)A scatter diagram with 6 points is graphed on the x y coordinate plane. The points are located at (3, 39), (7, 47), (13, 73), (18, 100), (28, 150), (38, 200). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right.   A scatter diagram with 6 points is graphed on the x y coordinate plane. The points are located at (1, 29), (5, 37), (11, 63), (16, 90), (26, 140), (36, 190). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. A scatter diagram with 6 points is graphed on the x y coordinate plane. The points are located at (1, 39), (5, 47), (11, 73), (16, 100), (26, 150), (36, 200). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right.   A scatter diagram with 6 points is graphed on the x y coordinate plane. The points are located at (3, 29), (7, 37), (13, 63), (18, 90), (28, 140), (38, 190). When considering the data points as a whole, the points are loosely gathered into a mass that is lower on the left and higher on the right. Correct: Your answer is correct.(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 =   Correct: Your answer is correct.Σy =   Correct: Your answer is correct.Σx2 =   Correct: Your answer is correct.Σy2 =   Correct: Your answer is correct.Σx y =   Correct: Your answer is correct.r =   Correct: Your answer is correct.(c)Find x bar, and y bar. Then find the equation of the least-squares line y hat = a + b x. (For each answer, enter a number. Round your answers for x bar and y bar to two decimal places. Round your answers for a and b to three decimal places.)x bar = x bar =   y bar = y bar =   y hat = value of a coefficient   value of b coefficient (d)Graph the least-squares line. Be sure to plot the point (x bar, y bar) as a point on the line. (Select the correct graph.)A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 132).  The line enters the window at approximately y = 201 on the positive y axis, goes down and right, passes through the approximate point (15.8, 132), and exits the window in the first quadrant.   A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 102).  The line enters the window at approximately y = 26 on the positive y axis, goes up and right, passes through the approximate point (15.8, 102), and exits the window in the first quadrant.  A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 132).  The line enters the window at approximately y = 56 on the positive y axis, goes up and right, passes through the approximate point (15.8, 132), and exits the window in the first quadrant.   A line and a point are graphed on the x y coordinate plane. The point is located the approximate point (15.8, 102).  The line enters the window at approximately y = 171 on the positive y axis, goes down and right, passes through the approximate point (15.8, 102), and exits the window at approximately x = 39.1 on the positive x axis.  Correct: Your answer is correct.(e)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? (For each answer, enter a number. Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)r2 =   Correct: Your answer is correct.explained =   Correct: Your answer is correct. %unexplained =   Correct: Your answer is correct. %(f)The calves you want to buy are 20 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.)  Incorrect: Your answer is incorrect. kgAnswer F ONLY

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Answer: Given Let x be the age of the calf (in weeks), and let y be the weight of the calf (in…