A simple linear regression on a data set of 12 ordered pairs (x,y)gave the following results: $\hat { y } = 54.23 + 1.45 x$
MSE = 1.1816
SS_xx = 0.9814 $\bar { x } = 10.8$
Compute a 95% confidence interval for the mean value of y when x = 8?

Question

A simple linear regression on a data set of 12 ordered pairs (x,y)gave the following results:

\hat { y } = 54.23 + 1.45 x

MSE = 1.1816
SS_xx = 0.9814

\bar { x } = 10.8

Compute a 95% confidence interval for the mean value of y when x = 8?

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The Answer of A simple linear regression on a data set of 12 ordered pairs (x,y)gave the following results: $$\hat { y } = 54.23 + 1.45 x$$ MSE = 1.1816 SS_xx = 0.9814 $$\bar { x } = 10.8$$ Compute a 95% confidence interval for the mean value of y when x = 8?

A Simple Linear Regression on a Data Set of 12 y^=54.23+1.45x\hat { y } = 54.23 + 1.45 xy^​=54.23+1.45x

A Simple Linear Regression on a Data Set of 12 $\hat { y } = 54.23 + 1.45 x$