Below You Are Given a Partial Computer Output Based on a Sample

Essay

Below you are given a partial computer output based on a sample of 8 observations relating an independent variable (x) and a dependent variable (y). $$\begin{array}{l}\begin{array} { l c c } & \text { Coefficient } & \text { Standard Error } \\\text { Intercept } & 13.251 & 10.77 \\\mathrm { x } & 0.803 & 0.385\end{array}\\\mathrm { ANOVA }\\\begin{array} { l l } & S S \\\text { Regression } \\\text { Error (Residual) } & 41.674 \\\text { Total } & 71.875\end{array}\end{array}$$ ​
a.
Develop the estimated regression equation.
b.
At α = .05, test for the significance of the slope.
c.
At α = .05, perform an F test.
d.
Determine the coefficient of determination.