(1) Plot the data with the 2000 tuition on the x-axis and 2008 tuition on the y-axis. Describe the relationship. Are there any outliers or unusual values? Does a linear relationship between the tuition in 2000 and 2008 seem reasonable?

(2) Run the simple linear regression in R and write down the estimated least-squares(LS) regression line. What are the LS intercept b0 and its standard error? What are the LS slope b1 and its standard error?

(3) Produce residual plot, where the residuals are on the y-axis and the 2000 tuition amount on the x-axis. Is there anything unusual in the plot? [Alternatively, you can plot residuals against fitted 2008 tuition amount]

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

(5) Give the null and alternative hypothesis for examining the relationship between 2000

and 2008 tuition amounts. Write down the test statistic and P-value for the hypothesis

stated in (5). At 0.05 significance level, state your conclusion.

(6) Construct a 95% confidence interval for the slope 1 of the population regression line.

What does this interval tell you?

(7) What percent of the variability in 2008 tuition is explained by a linear regression model

using the 2000 tuition? What is the estimated correlation coefficient of the 2000 and the

2008 tuition?

(8) The tuition at BusStat U was $5800 in 2000. What is its predicted tuition in 2008? Find

the 95% prediction interval for its tuition amount in 2008.

(9) The tuition at Moneypit U was $8700 in 2000. What is its predicted tuition in 2008?

Discuss the appropriateness of using the fitted equation to predict tuition for BusStat U

and for Moneypit U.

(10) Find the 95% confidence interval for the mean tuition amount for a public university

with 2000 tuition amount of $5800? Compare (10) and (8), which is wider? Why?

University Year Year 2000 2008 Wisconsin 3791 7569 PennState 7018 13706 Washington 3761 6802 Pittsburgh 7002 13642 UCLA Texas 3698 3575 8310 8532 Michigan Rutgers 6926 | 11738 633311540 Nebraska 3450 6584 Michigan State 543210690 lowa Colorado 3204 3188 6544 7278 Maryland 5136 8005 IowaState 3132 5524 Illinois 499412106 North Carolina 2768 5397 Minnesota 4877 10634 Missouri Buffalo Indiana 4726 4715 7386 6385 8231 Kansas Arizona Florida 2725 7042 23485542 2256 3256 4405 GeorgiaTech 3308 6040 OhioState 4383 8679 TexasAM 3374 7844 Virginia Cal-Davis 4335 4072 9300 9497 Cal-Berkeley 4047 7656 Cal-Irvine 3970 8046 Purdue 3872 7750 Cal-San Diego 3848 8062 Oregon 3819 6435 University Year Year 2000 2008 Wisconsin 3791 7569 PennState 7018 13706 Washington 3761 6802 Pittsburgh 7002 13642 UCLA Texas 3698 3575 8310 8532 Michigan Rutgers 6926 | 11738 633311540 Nebraska 3450 6584 Michigan State 543210690 lowa Colorado 3204 3188 6544 7278 Maryland 5136 8005 IowaState 3132 5524 Illinois 499412106 North Carolina 2768 5397 Minnesota 4877 10634 Missouri Buffalo Indiana 4726 4715 7386 6385 8231 Kansas Arizona Florida 2725 7042 23485542 2256 3256 4405 GeorgiaTech 3308 6040 OhioState 4383 8679 TexasAM 3374 7844 Virginia Cal-Davis 4335 4072 9300 9497 Cal-Berkeley 4047 7656 Cal-Irvine 3970 8046 Purdue 3872 7750 Cal-San Diego 3848 8062 Oregon 3819 6435