The Data For $n = 24$ Points Were Subjected to a Simple Linear Regression with the a Simple

Essay

The data for $n = 24$ points were subjected to a simple linear regression with the results:
$\hat { \beta } _ { 1 } = 0.81 \text { and } \mathrm { s } _ {\hat{ \beta 1} }= 0.12 \text {. }$
a. Test whether the two variables, $x$ and $y$ , are positively linearly related. Use $\alpha = .05$ .
b. Construct and interpret a $90 \%$ confidence interval for $\beta _ { 1 }$ .