The summary statistics for a certain set of points are: n=10, s_e=3.199, $\sum { ( x - \bar { x } ) ^ { 2 } }$ =11.257, and $\beta _ { 1 }$ =1.704 . Assume the conditions of the linear model hold. A 99% confidence interval for $\beta _ { 1 }$ will be constructed.
i). How many degrees of freedom are there for the critical value?
ii). What is the critical value?
iii). What is the margin of error?
iv). Construct the 99% confidence interval.

Question

The summary statistics for a certain set of points are: n=10, s_e=3.199,

\sum { ( x - \bar { x } ) ^ { 2 } }

=11.257, and

\beta _ { 1 }

=1.704 . Assume the conditions of the linear model hold. A 99% confidence interval for

\beta _ { 1 }

will be constructed.
i). How many degrees of freedom are there for the critical value?
ii). What is the critical value?
iii). What is the margin of error?
iv). Construct the 99% confidence interval.

Quizplus · Accepted Answer

The Answer of The summary statistics for a certain set of points are: n=10, s_e=3.199, $\sum { ( x - \bar { x } ) ^ { 2 } }$ =11.257, and $\beta _ { 1 }$=1.704 . Assume the conditions of the linear model hold. A 99% confidence interval for $\beta _ { 1 }$ will be constructed. i). How many degrees of freedom are there for the critical value? ii). What is the critical value? iii). What is the margin of error? iv). Construct the 99% confidence interval.

The Summary Statistics for a Certain Set of Points Are ∑(x−xˉ)2\sum { ( x - \bar { x } ) ^ { 2 } }∑(x−xˉ)2

The Summary Statistics for a Certain Set of Points Are $\sum { ( x - \bar { x } ) ^ { 2 } }$