Below you are given a partial computer output from a multiple regression analysis based on a sample of $16$ observations. The interpretation of the coefficient of x$1$ is that

Coefficients

Standard Error

Constant

$12\mathrm{.}924$

$4\mathrm{.}425$

x$1$

$-7\mathrm{.}682$

$2\mathrm{.}630$

x$2$

$45\mathrm{.}216$

$12\mathrm{.}560$

Question $21$Answer

A$.$

a one unit change in the Constant will lead to a $7\mathrm{.}682$ unit decrease in y$.$

B$.$

a one unit increase in x$1$ will lead to a $7\mathrm{.}682$ unit decrease in y when all other variables are held constant.

C$.$

a one unit increase in x$1$ will lead to a $7\mathrm{.}682$ unit decrease in x$2$ when all other variables are held constant.

D$.$

The unit of measurement for y is required to interpret the coefficient.

E$.$

none of the above