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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
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Chapter 12, Problem 12.4

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QUESTION:

An experiment was conducted to determine if the weight of an animal can be predicted after a given period of time on the basis of the initial weight of the animal and the amount of feed that was eaten. The following data, measured in kilograms, were recorded:

\(\begin{array}{ccc}
\begin{array}{c}
\text { Final } \\
\text { Weight, } \boldsymbol{y}
\end{array} & \begin{array}{c}
\text { Initial } \\
\text { Weight, } \boldsymbol{x}_{1}
\end{array} & \begin{array}{c}
\text { Feed } \\
\text { Weight, } \boldsymbol{x}_{2}
\end{array} \\
\hline 95 & 42 & 272 \\
77 & 33 & 226 \\
80 & 33 & 259 \\
100 & 45 & 292 \\
97 & 39 & 311 \\
70 & 36 & 183 \\
50 & 32 & 173 \\
80 & 41 & 236 \\
92 & 40 & 230 \\
84 & 38 & 235
\end{array}\)

(a) Fit a multiple regression equation of the form

\(\mu_{Y \mid x_{1}, x_{2}}=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}\)

(b) Predict the final weight of an animal having an initial weight of 35 kilograms that is given 250 kilograms of feed.

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QUESTION:

An experiment was conducted to determine if the weight of an animal can be predicted after a given period of time on the basis of the initial weight of the animal and the amount of feed that was eaten. The following data, measured in kilograms, were recorded:

\(\begin{array}{ccc}
\begin{array}{c}
\text { Final } \\
\text { Weight, } \boldsymbol{y}
\end{array} & \begin{array}{c}
\text { Initial } \\
\text { Weight, } \boldsymbol{x}_{1}
\end{array} & \begin{array}{c}
\text { Feed } \\
\text { Weight, } \boldsymbol{x}_{2}
\end{array} \\
\hline 95 & 42 & 272 \\
77 & 33 & 226 \\
80 & 33 & 259 \\
100 & 45 & 292 \\
97 & 39 & 311 \\
70 & 36 & 183 \\
50 & 32 & 173 \\
80 & 41 & 236 \\
92 & 40 & 230 \\
84 & 38 & 235
\end{array}\)

(a) Fit a multiple regression equation of the form

\(\mu_{Y \mid x_{1}, x_{2}}=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}\)

(b) Predict the final weight of an animal having an initial weight of 35 kilograms that is given 250 kilograms of feed.

ANSWER:

Step 1 of 3

Given: The data for the weights is provided.

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