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A Statistician Estimated the Multiple Regression Model y=β0+β1x1+β2x2+εy = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \varepsilon

Question 87

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A statistician estimated the multiple regression model y=β0+β1x1+β2x2+εy = \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).  Predictor  Coef  StDev t Constant 2.794a6.404x1b0.0070.025x20.3830.072c\begin{array} { | c | c c c | } \hline \text { Predictor } & \text { Coef } & \text { StDev } & t \\\hline \text { Constant } & 2.794 & a & 6.404 \\x _ { 1 } & b & 0.007 & - 0.025 \\x _ { 2 } & 0.383 & 0.072 & c \\\hline\end{array} se = d R2 = e.  ANALYSIS OF VARIANCE  Source of  Variation  df  SS  MS  F  Regression fijl Error g11.884k Total h26.887\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} & \text { df } & \text { SS } & \text { MS } & \text { F } \\\hline \text { Regression } & f & i & j & l \\\text { Error } & g & 11.884 & k & \\\hline \text { Total } & h & 26.887 & & \\\hline\end{array}\end{array}

Correct Answer:

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a = 0.436
b = 0.000
c = 5.319
...

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