Given Below Are Four Observations Collected in a Regression Study $$\begin{array} { l l } \boldsymbol { x } & \boldsymbol { y } \\2 & 4 \\6 & 7 \\9 & 8 \\9 & 9\end{array}$$

question 18

Essay

Given below are four observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). $$\begin{array} { l l } \boldsymbol { x } & \boldsymbol { y } \\2 & 4 \\6 & 7 \\9 & 8 \\9 & 9\end{array}$$ ​
a.
Develop the least squares estimated regression equation.
b.
At the 5% 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.

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Definitions:

Rectal

Relating to, or situated near the rectum, the final section of the large intestine.

Axillary

Pertaining to the armpit area of the body.

Oral

Related to the mouth; often used in contexts such as oral hygiene, oral medications, or oral communication.

Rectal

Pertaining to, involving, or situated near the rectum, which is the final section of the large intestine.