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).
$$\begin{array}{l}\begin{array} { l c c } & \text { Coefficient } & \text { Standard Error } \\\text { Intercept } & 13.251 & 10.77 \\\mathrm { X } & 0.803 & 0.385\end{array}\\\\\text { Analysis of Variance }\\\begin{array} { l c } \text { SOURCE } & \text { SS } \\\text { Regression } & \\\text { Error Residual) } & 41.674 \\\text { Total } & 71.875\end{array}\end{array}$$
a. Develop the estimated regression line.
b. At α = 0.05, test for the significance of the slope.
c. At α = 0.05, perform an F test.
d. Determine the coefficient of determination.