Exercise

# Multiple regression: interpretation regression coefficients

Now that you are an expert in the domain of multiple regressions, retake the multiple regression model of the outcome variable `salary`

on predictor variables `years`

and `pubs`

once more. The required dataset `fs`

is still pre-loaded into R. Print out the output to help you to answer the following question, that essentially consists of two parts. If you feel unsure about doing this, return to the earlier questions to revise the basics of multiple regression before moving on.

Which of the following is the correct value of the regression coefficient for publications? And how would you interpret this number?

Instructions

**50 XP**

##### Possible Answers

- The regression coefficient for publications is equal to 634.9. This means that the predicted increase in salary for a unit increase in the number of publications is equal to $634.90 for those professors who have already completed their PhD an average amount of years ago.
- The regression coefficient for publications is equal to 634.9. This means that the predicted increase in salary for a unit increase in the number of publications is equal to $634.90 for those professors who have already published an average amount of scientific articles and have already completed their PhD an average amount of years ago.
- The regression coefficient for publications is equal to 634.9. This means that the predicted increase in salary for a unit increase in the number of publications is equal to $634.90.
- The regression coefficient for publications is equal to 634.9. This means that the predicted increase in salary for a unit increase in the number of publications is equal to $634.90 for those professors who have already published an average amount of scientific articles.