(a) Plot the data with the 2008 tuition on the x axis and describe the relationship. Are there any outliers or unusual values? Does a linear relationship between the tuition in 2008 and 2014 seem reasonable?

(b) Run the simple linear regression and give the least-squares regression line.

(c) Obtain the residuals and plot them versus the 2008 tuition amount. Is there anything unusual in the plot?

(d) Do the residuals appear to be approximately Normal? Explain.

(e) The five California schools appear to follow the same linear trend as the other schools but have higher-than-predicted in-state tuition in 2014. Assume that this jump is particular to this state (financial troubles?) and remove these five cases and refit the model. How do the parameter estimates change?

(f) If you were to move forward with inference, which of these two model fits would you use? Write a short paragraph explaining your answer.