onsider the fitted values from a simple linear regression model with intercept:

y hat$=5+4$x

Assume that R$2=0\mathrm{.}2,$ the total number of observations is n $=202,$ and that

$($xi $$ x $)^2=4.$ where x $$ is the sample mean of x$.$ Assume that the classical Gauss$-$Markov assumptions holds.

a$)$ What is the value of the F $-$statistic?

b$)$ What is the standard error of the regression?onsider the fitted values from a simple linear regression model with intercept:

y hat$=5+4$x

Assume that R$2=0\mathrm{.}2,$ the total number of observations is n $=202,$ and that

$($xi $$ x $)^2=4.$ where x $$ is the sample mean of x$.$ Assume that the classical Gauss$-$Markov assumptions holds.

a$)$ What is the value of the F $-$statistic?

b$)$ What is the standard error of the regression?