I'm running a multiple linear regression in RStudio of revenue (
rev ) on identity,
ID (an index which measures a customers identity towards a company) and firm age,
Age (years of corporation). These two variables are expected to be depentend on each other, so that the effect of identity on revenue depends on how many years a company is already established in the market. To test this, I've included an interaction term of
rev = b1*ID + b2*Age + b3(ID*Age) + ui
This gives me following estimated coefficients:
rev = 0.7*ID + 0.1*Age + -0.003(ID*Age) + ui
Coefficient of ID and the interaction term are statistically significant. I'm not sure about how to interprete the negative interaction term. Is it correct to interprete it as follow:
The effect of ID on revenue depends negatively on age. So that the effect on an increase in identity will be weaker (lesser) if the company is older (Age is bigger).
Is that equal to the following interpretation: Identity is weaker for older firms.
Therefore, I could conclude that identity does play a (slightly) more important role for younger companies.
Thank you so much for your help!