T$/$F Explain. Please answer true or false, and explain in $1-3$ sentences. The explanation is the most important part.

You want to run a difference$-$in$-$differences regression to examine the effect of a job training program on the probability of working. Luckily, the training program only affected workers in some locations, but not others. And, you have data from before and after the program. However, you notice that even those unaffected by the program saw an increase in the probability of working. A difference$-$in$-$differences regression is not appropriate in this circumstance.