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:

Brachioradialis

A muscle of the forearm that flexes the forearm at the elbow, particularly when the forearm is in midpronation/supination.

Gluteal Muscles

A group of three muscles located in the buttocks, responsible for movement of the hip and thigh.

Hamstring Muscles

A group of three muscles located at the back of the thigh that are responsible for bending the knee and extending the hip.

Anterolateral Surface

The front and side area of an anatomical structure or body part.