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

Below you are given a partial computer output based on a sample of 14 observations, relating an independent variable x) and a dependent variable y).
$$\begin{array} { l c c } \text { Predictor } & \text { Coefificient } & \text { Standard Error } \\\text { Canstant } & 6.428 & 1.202 \\\text { X } & 0.470 & 0.035\end{array}$$ Analysis of Variance
SOURCE SS
Regression 958.584
Error Residual)
Total 1021.429
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.
e. Determine the coefficient of correlation.