Question $17(1$ point$)$

Exhibit $15-5$

Below is a partial Excel output based on a sample of $25$ observations.

$\backslash$table$[[,$Coefficients,Standard$],[$Intercept$,145\mathrm{.}321,48\mathrm{.}682],[x_1,25\mathrm{.}625,9\mathrm{.}150],[x_2,-5\mathrm{.}720,3\mathrm{.}575],[x_3,0\mathrm{.}823,0\mathrm{.}183]]$

Refer to Exhibit $15-5.$ The interpretation of the coefficient on $x_1$ is that

a one$-$unit change in $x_1$ will lead to a $25\mathrm{.}625-$unit change in $y$

a one$-$unit change in $x_1$ will lead to a $25\mathrm{.}625-$unit increase in $y$ when all other variables are held constant

a one$-$unit change in $x_1$ will lead to a $25\mathrm{.}625-$unit increase in $x_2$ when all other variables are held constant

a one$-$unit change in $x_1$ will lead to a $25\mathrm{.}625-$unit decrease in $x_2$ when all other variables are held constant