Suppose Wesley is a marine biologist who is interested in the relationship betwe

Question

Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where is the age of the crab in months and is the predicted value of , the size of the male crab in cm.
=0.4775+9.1411

What is the value of when a male crab is 24.9118 months old? Provide your answer with precision to two decimal places.

Interpret the value of y hat. What is The value of y ?

Explanation / Answer

Given that

= 0.4775 + 9.1411

at x = 24.9118

= 0.4775 (24.9118 ) + 9.1411  

= 21.03648450

= 21.04

Interpret the value of y hat is

The predicted size of the crab size when it is 24.9118 months old

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