Suppose that a researcher studying the weight of female college athletes wants t

Question

Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, and the percentage of body fat of an athlete. The researcher calculates the regression equation as (weight) = 4.673*(height) + 0.572*(percent body fat) - 84.158. If a female athlete is 66.503 inches tall, has a 15.092 percentage of body fat, and a weight of 245.887, the residual is -10.644. Choose the correct interpretation of the resdiual. Question 15 options: 1) The weight of the athlete is 245.887 pounds less than what we would expect. 2) The height of the athlete is 10.644 inches larger than what we would expect. 3) The weight of the athlete is 10.644 pounds greater than what we would expect. 4) The height of the athlete is 10.644 inches less than what we would expect. 5) The weight of the athlete is 10.644 pounds less than what we would expect. Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, and the percentage of body fat of an athlete. The researcher calculates the regression equation as (weight) = 4.673*(height) + 0.572*(percent body fat) - 84.158. If a female athlete is 66.503 inches tall, has a 15.092 percentage of body fat, and a weight of 245.887, the residual is -10.644. Choose the correct interpretation of the resdiual. Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, and the percentage of body fat of an athlete. The researcher calculates the regression equation as (weight) = 4.673*(height) + 0.572*(percent body fat) - 84.158. If a female athlete is 66.503 inches tall, has a 15.092 percentage of body fat, and a weight of 245.887, the residual is -10.644. Choose the correct interpretation of the resdiual. 1) The weight of the athlete is 245.887 pounds less than what we would expect. 2) The height of the athlete is 10.644 inches larger than what we would expect. 3) The weight of the athlete is 10.644 pounds greater than what we would expect. 4) The height of the athlete is 10.644 inches less than what we would expect. 5) The weight of the athlete is 10.644 pounds less than what we would expect. 1) The weight of the athlete is 245.887 pounds less than what we would expect. 2) The height of the athlete is 10.644 inches larger than what we would expect. 3) The weight of the athlete is 10.644 pounds greater than what we would expect. 4) The height of the athlete is 10.644 inches less than what we would expect. 5) The weight of the athlete is 10.644 pounds less than what we would expect. 1) The weight of the athlete is 245.887 pounds less than what we would expect. 2) The height of the athlete is 10.644 inches larger than what we would expect. 3) The weight of the athlete is 10.644 pounds greater than what we would expect. 4) The height of the athlete is 10.644 inches less than what we would expect. 5) The weight of the athlete is 10.644 pounds less than what we would expect.

Explanation / Answer

from regression eqaution:

weight =

=235.24

therefore option 3 is correct.

.673*66.503+0.572*15.0984.158

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