Given Below Are Five Observations Collected in a Regression Study $\begin{array} { l }x&y\\10&7\\20&5\\30&4\\40&2\\50&1\end{array}$

Essay

Given below are five observations collected in a regression study on two variables x independent variable) and y dependent variable).
$\begin{array} { l }x&y\\10&7\\20&5\\30&4\\40&2\\50&1\end{array}$

a. Develop the least squares estimated regression equation
b. At 95% confidence, 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 = 0.05.
d. Compute the coefficient of determination.
e. Compute the coefficient of correlation.