I am presented with a linear regression result that yields the following coefficients:
Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.627502 0.010139 27.782 < 2e-16 *** A_num 0.047047 0.004919 9.703 3.7e-16 *** Bhigh -0.015863 0.004608 -3.510 0.000668 *** Cin -0.018517 0.003504 -2.801 0.006095 **
Where B has levels of (high, low) and C has levels of (in,out). This would, in my understanding provide four different intercepts one for each of the following
- high, in
- high, out
- low, in
- low, out
However, I do not happen to have any observations regarding one of them, say (high, in). I know that such observations must exist, but the sample does not include any such observation.
Would it still be valide to extend the interpretation to the unobserved scenario?