The Summary Statistics for a Certain Set of Points Are $n = 23 , s _ { \mathrm { e } } = 2.302 , \sum ( x - \bar { x } ) ^ { 2 } = 15.372$

Multiple Choice

The summary statistics for a certain set of points are: $n = 23 , s _ { \mathrm { e } } = 2.302 , \sum ( x - \bar { x } ) ^ { 2 } = 15.372$ , and $b _ { 1 } = 1.902$ . Assume the conditions of the linear model hold. A $99 \%$ confidence interval for $\beta _ { 1 }$ will be constructed. How many degrees of freedom are there for the critical value?

A) 22
B) 23
C) 21
D) 24