In the HW3 template, we provide the code to make a residual plot for the original regression of writing on math. Do you see any patterns in this plot that indicate a violation of any of our regression assumptions? Use the residual plot to comment on the assumptions related to linearity, constant variance, and the presence/absence of outliers. ggplot(lm.out1, aes(x = fitted(lm.out1), y = residuals(lm.out1))) + geom_point() + geom_hline(yintercept = 0,color = "darkgray") + xlab("Regression Fitted Values") + ylab("Model Residuals")