I would appreciate any help on this question. I have been asked to compare the results of PCA to multiple regression. I ve been given 10 variables. For the PCA, i am expected to regress the 3 components that result after the dimension reduction process, and for the multiple regression to simply regress the 10 variables that i have been given. After running PCA, i decided to drop 2 variables because it offered me a simper and more interpretable structure.My question is the following: since i want to compare the findings and I ended up dropping the 2 variables for the PCA, shouldn't i regress the 8 variables on the dependent instead of 10 since then i will be comparing non-comparable results? Thank you in advance. Happy new year!!