Model specification for a multiple regression

I would like compare the job satisfaction between two industries. I've conducted a t-test and came to the conclusion that they are statistically different at the 5% significance level.

Now I would like to analyze how professional and demographic variables influence job satisfaction in the two industries.

lm_industry1 <- lm(JS~AGE+EDU+SIZE+SCOPE+MGMT+SCOPE+TENURE+COLLAR+SEX, data=data_industry1) lm_industry2 <- lm(JS~AGE+EDU+SIZE+SCOPE+MGMT+SCOPE+TENURE+COLLAR+SEX, data=data_industry2)

(COLLAR and SEX are binary, all the other variables are continuous)

Could this work with a multiple regression? What about non-linear relationships and interaction terms?

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