Question

8. 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 40 inches. Is the result close to the actual weight of 392 ​pounds? Use a significance level of 0.05.

Chest_size_(inches)          Weight_ (pounds)

41           328

54           528

44           418

55           580

39           296

51           503

What is the regression​ equation?

Ŷ=____+____x

(Round to two decimal places as​ needed.)

What is the best predicted weight of a bear with a chest size of 40 ​inches?

The best predicted weight for a bear with a chest size of 40 inches is _____pounds.

​(Round to one decimal place as​ needed.)

Is the result close to the actual weight of 392 ​pounds?

A.This result is very close to the actual weight of the bear.

B.This result is 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 not very close to the actual weight of the bear.

Answer 1

Solution:

What is the regression​ equation?

Ŷ= -330.39 + 16.32 x

What is the best predicted weight of a bear with a chest size of 40 ​inches?

The best predicted weight for a bear with a chest size of 40 inches is 322.4 pounds.

Is the result close to the actual weight of 392 ​pounds?

D.This result is not very close to the actual weight of the bear.