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A study fit a simple linear regression model using y = total catch of lobsters a

ID: 3219543 • Letter: A

Question

A study fit a simple linear regression model using y = total catch of lobsters as a function of x = average percentage of traps allocated per day to exploring areas of unknown catch (search frequency). Use the Output from SAS Proc REG to answer the questions below: a. Write down the least squares equation. i. y = 9877.82997 - 163.60242x + epsilon ii. y = 9877.82997 - 163.60242x| iii. y = 829.04106 + 41.90141x + epsilon iv. y = -163.60242 + 9877.82997x b. Do you think that search frequency is a good independent variable in a linear model where total catch of lobsters is the dependent variable? i. There is enough evidence to conclude that search frequency is a good independent variable in a linear model. ii. There is enough evidence to conclude that search frequency is NOT a good independent variable in a linear model. iii. There is NOT enough evidence to conclude search frequency is a good independent variable in a linear model.

Explanation / Answer

a) Correct Answer: Option (A)

b)  Correct Answer: Option (A)

Since P value of Searchfreq is 0.0018 which is les than alpha 0.001, we reject H0

Thus, we conclude that the independent variable is good fit to the regression equation