The Summary Statistics for a Certain Set of Points Are $n = 17 , s _ { \mathrm { e } } = 2.880 , \sum ( x - \bar { x } ) ^ { 2 } = 19.241$

Multiple Choice

The summary statistics for a certain set of points are: $n = 17 , s _ { \mathrm { e } } = 2.880 , \sum ( x - \bar { x } ) ^ { 2 } = 19.241$ , and $b _ { 1 } = 1.839$ . Assume the conditions of the linear model hold. A $95 \%$ confidence interval for $\beta _ { 1 }$ will be constructed. What is the margin of error?

A) 41.002571
B) 1.391921
C) 1.146365
D) 1.399143