Multiple Regression Coefficient Interpretation Help

ledzeppelin1984

This is the original question wording, the regression equation is:
ŷ = 47.7682 + 0.7762x1 + 1.0620x2
A student organization at one university decided to investigate whether professors who publish more journal articles and have higher average teaching evaluations receives higher salaries. The students randomly selected 50 economics professors who are
employed by a multicampus university. They recorded the salaries (in $thousands) of the professors, their average teaching evaluations (on a 10-points scale), the total number of journal articles published in their careers.

I need help to interpret the coefficients x1 and x2. I'm having trouble because I find this ($thousands) and (10-point scale), its hard for me to picture how to word this, please help if you are good with words.

x1= teaching evaluations x2= number of journals y=salary

hivizman

On average, for each additional point on the evaluation scale, a professor earns an extra 0.776 thousand dollars ($776) and for each additional journal article, a professor earns an extra 1.062 thousand dollars ($1,062).

So, for example, a professor scoring 7 on the evaluation scale and with 10 journal articles would be predicted to earn:

47.768 + 0.776 x 7 + 1.062 x 10 thousand dollars, which is equal to $63.820 thousand, or $63,820.

This survey must have been done a long time ago, because US economics professors tend to earn much more than this today!

RoundTower

hivizman wrote: »

On average, for each additional point on the evaluation scale, a professor earns an extra 0.776 thousand dollars ($776) and for each additional journal article, a professor earns an extra 1.062 thousand dollars ($1,062).

So, for example, a professor scoring 7 on the evaluation scale and with 10 journal articles would be predicted to earn:

47.768 + 0.776 x 7 + 1.062 x 10 thousand dollars, which is equal to $63.820 thousand, or $63,820.

This survey must have been done a long time ago, because US economics professors tend to earn much more than this today!

remember in the states a "professor" just means a lecturer, so actually the numbers sound about right.

RoundTower

ledzeppelin1984 wrote: »

I need help to interpret the coefficients x1 and x2. I'm having trouble because I find this ($thousands) and (10-point scale), its hard for me to picture how to word this, please help if you are good with words.

If this is the question you are asked then you had it absolutely right: x1 is the professor's teaching evaluation and x2 is the number of journals he has published. They are both just numbers, not thousands or dollars or anything else.