Consider the following sample regression equation: y$$

$=17+5$x$1+3$x$2.$ Interpret the value $5.$

Multiple choice question.

For a unit increase in x$1,$ the average value of y decreases by $5$ units, holding x$2$ constant.

For a unit increase in x$1,$ the average value of y increases by $5$ units, holding x$2$ constant.

For a unit increase in y$,$ the average value of x$1$ decreases by $5$ units, holding x$2$ constant.

For a unit increase in y$,$ the average value of x$1$ increases by $5$ units, holding x$2$ constant.