From the output, report the value of σ, the estimate of the standard deviation of the residuals.
Understand the Problem
The question is asking for the value of sigma (σ), which is the estimate of the standard deviation of the residuals from the regression output provided. This value has been stated in the output as the 'Residual standard error'.
Answer
$3.638$
Answer for screen readers
The value of σ, the estimate of the standard deviation of the residuals, is $3.638$.
Steps to Solve
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Identify the Residual Standard Error (σ)
The residual standard error (σ) is given directly in the regression output as "Residual standard error." -
Locate the value
From the output, locate the statement indicating the residual standard error. It is stated as "Residual standard error: 3.638 on 60 degrees of freedom." -
Extract σ value
The value you need for σ is the number preceding the phrase "on 60 degrees of freedom." Here, that value is $3.638$.
The value of σ, the estimate of the standard deviation of the residuals, is $3.638$.
More Information
The residual standard error measures how well the regression model fits the data. A lower value indicates a better fit, as it means that the predicted values are closer to the actual values.
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