Given Below Are Five Observations Collected in a Regression Study $$\begin{array} { l l } \boldsymbol { x } & \boldsymbol { y } \\2 & 4 \\3 & 4 \\4 & 3 \\5 & 2 \\6 & 1\end{array}$$

Essay

Given below are five observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). $$\begin{array} { l l } \boldsymbol { x } & \boldsymbol { y } \\2 & 4 \\3 & 4 \\4 & 3 \\5 & 2 \\6 & 1\end{array}$$ ​
a.
Develop the least squares estimated regression equation.
b.
At the .05 level of significance, perform a t test and determine whether or not the slope is significantly different from zero.
c.
Perform an F test to determine whether or not the model is significant. Let α = .05.
d.
Compute the coefficient of determination.
e.
Compute the coefficient of correlation.