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Suppose Wesley is a marine biologist who is interested in the relationship between the age and...

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 ?ˆ is the predicted value of ?, the size of the male crab in cm.

?ˆ=8.2052+0.5693?

What is the value of ?ˆ when a male crab is 21.7865 months old? Provide your answer with precision to two decimal places.

?ˆ =

Interpret the value of ?ˆ. The value of ?ˆ is

a)the predicted incremental increase in size for every increase in age by 21.7865 months.

b)the predicted size of a crab when it is 21.7865 months old.

c)the probability that a crab will be 21.7865 months old.

d)the predicted number of crabs out of the 1,000 crabs collected that will be 21.7865 months old.

math   Statistics-And-Probability   
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