The summary statistics for a certain set of points are: $n = 10 , s _ { \mathrm { e } } = 3.857 , \sum ( x - \bar { x } ) ^ { 2 } = 13.030$, and $b _ { 1 } = 1.747$. Assume the conditions of the linear model hold. A $99 \%$ confidence interval for $\beta _ { 1 }$ will be constructed. What is the critical value?
A) 3.250
B) 2.821
C) 3.355
D) 2.896

Question

Quizplus · Accepted Answer

The critical value for a 99% confidence interval with 8 degrees of freedom (df = n - 2) is 3.355. This can be found using a t-distribution table or a calculator.

The Summary Statistics for a Certain Set of Points Are n=10,se=3.857,∑(x−xˉ)2=13.030n = 10 , s _ { \mathrm { e } } = 3.857 , \sum ( x - \bar { x } ) ^ { 2 } = 13.030n=10,se​=3.857,∑(x−xˉ)2=13.030

The Summary Statistics for a Certain Set of Points Are $n = 10 , s _ { \mathrm { e } } = 3.857 , \sum ( x - \bar { x } ) ^ { 2 } = 13.030$