The data show the chest size and weight of several bears. Find the regression eq

Question

The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 41 inches is the result close to the actual weight of 273 pounds? Use a significance level of 0.05. What is the regression equation? y = (Round to one decimal place as needed). What is the best predicted weight of a bear with a chest size of 41 inches? y = pounds (Round to one decimal place as needed.) Is the result close to the actual weigh 273 pounds? A. This result is not very close to the actual weight of the bear. B. This result is very close to the actual weight of the bear. C. This result is exactly the same as the actual weight of the bear. D. This result is close to the actual weight of the bear.

Explanation / Answer

Chest size   weight
40   227
53   360
38   153
43   206
44   234
58   414

The regression equation is
weight = - 308 + 12.5 Chest size

Predictor Coef SE Coef T P
Constant -307.98 60.47 -5.09 0.007
Chest size 12.471 1.299 9.60 0.001

1)) Ans:

The regression equation is
weight = - 308 + 12.5 Chest size

2) The predicted weight of bear with a chest size of 41 inches is

weight = - 308 + 12.5 *41 =204.5 pounds.

3) Ans: A: This result is not very close to the actual weight of the bear.

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