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Below You Are Given a Partial Computer Output from a Multiple

Question 41

Multiple Choice

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations.  Coefficients  Standard Error 12.9244.4253.6822.63045.21612.560 Analysis of Variance  Source of  Degrees of  Sum of  Mean  Variation  Freedom  Squares  Square F\begin{array}{l}\begin{array} { l l } \text { Coefficients } & \text { Standard Error } \\12.924 & 4.425 \\- 3.682 & 2.630 \\45.216 & 12.560\end{array}\\\text { Analysis of Variance }\\\begin{array} { l l l l l } \text { Source of } & \text { Degrees of } & \text { Sum of } & \text { Mean } \\\text { Variation } & \text { Freedom } & \text { Squares } & \text { Square }\end{array} \quad F\end{array}
The interpretation of the coefficient of x1 is that


A) a one unit change in x1 will lead to a 3.682 unit decrease in y.
B) a one unit increase in x1 will lead to a 3.682 unit decrease in y when all other variables are held constant.
C) a one unit increase in x1 will lead to a 3.682 unit decrease in x2 when all other variables are held constant.
D) The unit of measurement for y is required to interpret the coefficient.

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