part 2. (15 points) calculate the least square regression line (model) and check conditions for inference a. (4 points) using r, calculate the least squares regression line that predicts final exam scores from midterm exam scores for st314 students. paste the r output for the model summary. separately, state the least squares regression line (model) using statistical notation. only pasting your r output without reporting the least squares regression line will not earn you points. b. (6 points) plot the residuals for the model. include a reference line at 0. include your plot in your submission. check the linearity, normality and constant variation conditions using the residual plot. state why each condition is met or why it is not met. c. (5 points) using your linear model, predict what the final score would be for a student who received a 210 grade on the midterm, on average.