Use the following table to answer the questions below.
Source | Estimate | Std. Error | t | p-value |
Intercept | 9877.83 | 829.041 | 11.915 | <0.0001 |
Freq | -163.602 | 41.901 | -3.905 | 0.0018 |
A simple linear regression model was fit relating y (total catch of lobsters) and x (frequency).
Note that n=8, s=2030.420, ?¯ = 17.867, and ?xx = 1,083.733. (Remember that ?^2 = MSE)
Find the 95% confidence interval for ?̂ when
?0=17.
?̂ =
??/2 =
Confidence interval:
( , )
Find the 95% prediction interval for ?̂ when
?0=17.
Prediction interval:
( , )
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