The head width (in) and weight (lb) is measured for a random sample of 20 bears. The data shows that the mean head width is 6.9 inches, mean weight is 214.3 lb, and the correlation r = 0.879 and its p-value is less than 0.0001. The suggested linear regression equation is WEIGHT = -212 + 61.9 WIDTH. (a) How is the best predicted weight value of a given head width found with this data found? (b) For the preceding part, why? (c) Find the best predicted weight given a bear with a head with of 6.5 inches.

Question

The head width (in) and weight (lb) is measured for a random sample of 20 bears.
The data shows that the mean head width is 6.9 inches, mean weight is 214.3 lb, and the
correlation r = 0.879 and its p-value is less than 0.0001. The suggested linear regression
equation is WEIGHT = -212 + 61.9 WIDTH.
(a) How is the best predicted weight value of a given head width found with this data found?
(b) For the preceding part, why?
(c) Find the best predicted weight given a bear with a head with of 6.5 inches.

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