The Summary Statistics for a Certain Set of Points Are $s _ { \mathrm { e } } = 2.080$

Essay

The summary statistics for a certain set of points are: n=17 , $s _ { \mathrm { e } } = 2.080$
$\sum ( x - \bar { x } ) ^ { 2 } = 16.106 , \text { and } b _ { 1 } = 1.388$ Assume the conditions of the linear model
hold A 95% 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 95 % confidence interval.