A study fit a simple linear regression model using y = total catch of lobsters a
ID: 3218705 • 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:
Write down the least squares equation.
Do you think that search frequency is a good independent variable in a linear model where total catch of lobsters is the dependent variable?
There is enough evidence to conclude that search frequency is a good independent variable in a linear model.
There is enough evidence to conclude that search frequency is NOT a good independent variable in a linear model.
There is NOT enough evidence to conclude search frequency is a good independent variable in a linear model.
Parameter Estimates
Variable
Label
DF
Parameter
Estimate
Standard
Error
t Value
Pr > |t|
Intercept
Intercept
1
9877.82997
829.04106
11.91
<.0001
SEARCHFREQ
SEARCHFREQ
1
-163.60242
41.90141
-3.90
0.0018
Parameter Estimates
Variable
Label
DF
Parameter
Estimate
Standard
Error
t Value
Pr > |t|
Intercept
Intercept
1
9877.82997
829.04106
11.91
<.0001
SEARCHFREQ
SEARCHFREQ
1
-163.60242
41.90141
-3.90
0.0018
Explanation / Answer
From the output, the least square equation will be:
y = 9877.82997 - 163.60242 (SEARCHFREQ)
Because p - vlaue corresponding to search frequency is 0.0018 which is very small.
There is enough evidence to conclude that search frequency is a good independent variable in a linear model.
Option A is correct.
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