Question - Public university tuition: 2000 versus 2008. Table shows the in-state undergraduate tuition and required fees for 33 public universities in 2000 and 2008.
(a) Plot the data with the 2000 tuition on the x axis and describe the relationship. Are there any outliers or unusual values? Does a linear relationship between the tuition in 2000 and 2008 seem reasonable?
(b) Run the simple linear regression and give the equation of the least-squares regression line.
(c) Obtain the residuals and plot them versus the 2000 tuition amount. Is there anything unusual in the plot?
(d) Do the residuals appear to be approximately Normal? Explain.
(e) Give the null and alternative hypotheses for examining the relationship between 2000 and 2008 tuition amounts.
(f) Write down the test statistic and P-value for the hypotheses stated in part (e). State your conclusions.