My residual plots suggest heteroscedastcity to me (fisher should have lost his knighthood for that horrible word). My question is, is it enough to use white's standard errors to deal with this problem. I have about 5 thousand cases if that matters.
I'm not actually convinced there is any issue here. Maybe a few outliers on the left but I don't think heteroscedasticity is really an issue. When you have more observations in an area one expects to see some residuals get to higher values. It looks like you have more observations with low days in the program and less with high days in the program.