A Statistician Estimated the Multiple Regression Model $y = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \varepsilon$

question 18

Essay

A statistician estimated the multiple regression model $y = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \varepsilon$ , with 45 observations. The computer output is shown below. However, because of a printer malfunction, some of the results are not shown. These are indicated by the boldface letters a to l. Fill in the missing results (up to three decimal places). $$\begin{array} { | c | c c c | } \hline \text { Predictor } & \text { Coef } & \text { StDev } & \text { T } \\\hline \text { Constant } & \mathbf { 2 . 7 9 4 } & \boldsymbol { a } & 6.404 \\x _ { 1 } & \boldsymbol { b } & 0.007 & - 0.025 \\x _ { 2 } & 0.383 & 0.072 & c \\\hline\end{array}$$ S = d R-Sq = e. $$\begin{array}{l}\text { ANALYSIS OF VARIANCE }\\\begin{array} { | l | c c c c | } \hline \begin{array} { l } \text { Source of } \\\text { Variation }\end{array} & \mathrm { df } & \text { SS } & \text { MS } & \text { F } \\\hline \text { Regression } & f & i & j & l \\\text { Error } & \boldsymbol { g } & 11.884 & \boldsymbol { k } & \\\hline \text { Total } & h & 26.887 & & \\\hline\end{array}\end{array}$$

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Definitions:

Microvilli

Finger-like protrusions from the surface of some cells, increasing their surface area for absorption.

Cilia

Microscopic, hair-like structures on the surface of cells, moving fluid or mucus across the cell surface.

Absorption

The process by which substances are taken up by the body, often referring to nutrients and drugs through the gastrointestinal tract.

Mitochondria

Membrane-bound cell organelles responsible for generating most of the cell's supply of ATP, used as a source of chemical energy.