Questions: What degrees of freedom should you use, when calculating the critical value?
224
1
226
225
Transcript text: What degrees of freedom should you use, when calculating the critical value?
224
1
226
225
Solution
Solution Steps
To determine the degrees of freedom for calculating the critical value in a regression analysis, you typically use the degrees of freedom associated with the residuals. This is because the residual degrees of freedom are used to estimate the variance of the errors in the regression model. In this case, the degrees of freedom for the residuals is given as 224.
Step 1: Identify Degrees of Freedom
In regression analysis, the degrees of freedom for the residuals is calculated as the total number of observations minus the number of parameters estimated. In this case, the degrees of freedom for the residuals is given directly in the output as \( df_{residual} = 224 \).
Step 2: Determine Critical Value Degrees of Freedom
For hypothesis testing using the critical value approach, we use the degrees of freedom associated with the residuals. Therefore, the degrees of freedom to be used for calculating the critical value is \( 224 \).