Exhibit 12-10
the Following Information Regarding a Dependent Variable Y

Essay

Exhibit 12-10
The following information regarding a dependent variable Y and an independent variable X is provided.
$$\begin{array} { l } \mathrm { n } = 4 \\\Sigma \mathrm { X } = 16 \\\Sigma \mathrm { Y } = 28 \\\Sigma \mathrm { Y } - { \bar { Y )} } \mathrm { X } - \bar { X } ) = - 8 \\\Sigma \mathrm { X } - \bar { X } ) ^ { 2 } = 8 \\\mathrm { SST } = 42 \\\mathrm { SSE } = 34\end{array}$$
-Assume you have noted the following prices for books and the number of pages that each book contains.
$\begin{array}{ccc}\text { Book }&\text { Pages } x \text { ) }&\text { Price y) }\\\mathrm{A} & 500 & \$ 7.00 \\\mathrm{~B} & 700 & 7.50 \\\mathrm{C} & 750 & 9.00 \\\mathrm{D} & 590 & 6.50 \\\mathrm{E} & 540 & 7.50 \\\mathrm{~F} & 650 & 7.00 \\\mathrm{G} & 480 & 450\end{array}$
a. Perform an F test and determine if the price and the number of pages of the books are related. Let ? = 0.01.
b. Perform a t test and determine if the price and the number of pages of the books are related. Let ? = 0.01.
c. Develop a 90% confidence interval for estimating the average price of books that contain 800 pages.
d. Develop a 90% confidence interval to estimate the price of a specific book that has 800 pages.