Question $2\mathrm{.}22-$ A relationship between man$-$hours and excavation earthwork was developed using the regression analysis. For the man$-$hr$.$ ranging from $2$ to $21,$ the scatter diagram was fitted to: $y=2+5x.$

where $x=$ No$.$ of man$-$hours required

$y=$ Excavation $(y{d}^3)$

Which of following statements about the fitted line is not true?

A$.$ The $y-$intercept means $2$ man$-$hours are needed to set up before any excavation begins.

B$.$ It will take $22$ man$-$hours to excavate $112y{d}^3$ of material.

C$.$ The average value of $y$ for $x=3$ is $17y{d}^3$

D$.$ The slope of the fitted line means that one man$-$hour of work yields $5y{d}^3$ of excavation.