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
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
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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