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

question 113

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 paperback books and the number of pages that each book contains.
$$\begin{array} { c c c } \text { Book } &\text { Pages} \mathbf{x} \text { ) } &\text { Price } \mathbf{y)} \\\text { A } & 500 &\$ 7.00 \\\mathrm {~B} & 700 & 7.50 \\\mathrm { C } & 750 & 9.00 \\\mathrm { D } & 590 & 6.50 \\\mathrm { E } & 540 & 7.50 \\\mathrm {~F} & 650 & 7.00 \\\mathrm { G } & 480 & 4.50\end{array}$$
a. Develop a least-squares estimated regression line.
b. Compute the coefficient of determination and explain its meaning.
c. Compute the correlation coefficient between the price and the number of pages. Test to see if x and y are related. Use ? = 0.10.

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Definitions:

Prenatal Development

The process of growth and development within the womb, from conception to the birth of a child.

Cleavage

The process of cell division in a developing embryo where a single fertilized cell divides into multiple, smaller cells.

Ossification

The process by which bone is formed, renewed, and repaired in the body.

Folic Acid

A B-vitamin essential for the proper development of the human body, particularly critical in preventing neural tube defects in developing fetuses.