# Exam 4 Study Guide: Chapters 18-20

1. Five scatter plots are shown. Match the scatter plot with the value of the correlation coefficient. Look at homework 26.
2. Identify the type of linear correlation based on the value of r and the p-value. Four parts. Look at homework 26.
3. The critical value(s) and test statistic are given. Identify the test as left tail, right tail, or two tail and give the decision.
4. Correlation and regression - the regression equation is given.
1. Complete the table of coefficients
2. Give a conclusion about the y-intercept or slope
3. Use the regression equation to estimate a value of the response variable.
4. The Sum of Squares are given, complete the ANOVA table.
5. Find the value of the coefficient of determination, r2
5. Correlation and regression - the summary statistics, correlation coefficient and p-value are given. Look at homework 27.
1. Give a conclusion
2. Write the coordinates of the centroid
3. Find the slope of the regression equation
4. Write the equation of the regression line
5. Use the equation to estimate a value of the dependent variable.
6. This table is completely blank to begin with. Look at homework 28. There is an explanation of how to complete the ANOVA table from the summary statistics [powerpoint].
6. Multiple Regression - the table of coefficients is given. Look at homework 29.
1. Give a conclusion based on the table of coefficient p-values.
2. Decide which one variable you would keep or eliminate from the model.
3. The Sum of Squares and one of the df is given, complete the ANOVA table.
4. Write the null and/or alternative hypothesis for the ANOVA table.
5. Find the value of R2 and/or adjusted-R2 from the ANOVA table.
6. Find the variance of the response variable.
7. The sample size, mean, standard error, and critical values for a sample are given. Find the confidence interval for the mean. Find the standard deviation.
8. Test for independence / contingency table - the observed frequencies are given.
1. Find the probabilities of some events from the table. Six parts.
2. Find the expected frequency for one of the cells in the table
9. One way analysis of variance - summary information is given. Look at homework 24.
1. Write the null and alternative hypothesis.
2. Complete the ANOVA table. The sums of squares and the p-value are given.
3. Give a conclusion
10. Find the probabilities of some compound events. Two parts.
11. Two-way analysis of variance. Look at homework 25.
1. Complete the two-way ANOVA table. The sum of squares and the p-values are given.
2. Know the three null and alternative hypotheses being tested with the table
3. Give conclusions based on results from the table
12. A probability distribution is given. Find the expected value (mean).
13. Find four numbers that have the given mean, median, and mode.
14. Write the claim using symbols. Define any subscripts that are necessary. Ten parts.
15. Make a picture to illustrate a hypothesis test. Be sure to completely label it.

## Take Home Exam

1. Conduct a hypothesis test from start to finish without all of the step by step prompting.
1. Identify the type of test (1 proportion, 2 proportions, chi-square goodness of fit test, test for independence, 1 mean, 2 independent means, 1 way ANOVA, 2 way ANOVA, paired means, correlation, or regression).
2. Write the null and alternative hypotheses
3. Find the test statistic and p-value and copy down the output from Minitab.
4. Give a decision and conclusion
2. Same instructions as take home exam question 1
3. Same instructions as take home exam question 1
4. Same instructions as take home exam question 1
5. Normal distribution application problem. Use the probability calculator to find probabilities or z-scores. Three parts.

## Notes

• You will definitely want a calculator.
• There is a take home exam. This is due at the beginning of class on the day of the exam.
• You will need Minitab for the take home exam but not for the actual exam. The computers will be off during the exam.
• You may create a sheet of notes to use for this test. Details about what can be on the notesheet follow.
• You may use the notesheet for 20 minutes.
• Answer everything that you can on the test without the notesheet first.
• Then get the instructor's attention and have him write the current time on your exam.
• You may then use the notesheet for 20 minutes.
• When the 20 minutes are up, your time is up and you must turn in your test whether or not you are done with it.
• For this reason, it is important than you know most of the material and only use the notesheet when you have exhausted your understanding.
• The notesheet is not an excuse for studying. That's why time is limited to 20 minutes. In the past, students have thought "I don't need to study because I have the notesheet" and their test scores have actually gone down on this test rather than up.

## Notesheet

You may use a sheet of notes on this exam. Here are the guidelines for the notesheet.

• You may use one side of an 8.5" x 11" piece of paper. You may use a smaller sized paper if you desire. You may not write on the back of the paper.
• The notesheet must be handwritten and an original (not duplicate) document.
• You may not photocopy, scan, fax, or otherwise duplicate someone else's notesheet. It is okay if you want to get together, study, and create a notesheet, but each person's notesheet must be an original, handwritten document.
• If I can not tell that your notesheet is an original document, I will not allow it. Consider using pencil or colored pens for portions of the notesheet.
• The notesheet must have your name on it. I will collect the notesheets with the exams.
• You may put down anything you want to, including examples. Do not write the answers from your examples on the actual exam, the problems on the test are not the same ones you have as examples.
• Do not waste your space writing down useless information like how to find test statistics. Those will be given to you. Do look at the study guide to see what you need to know and base your notesheet off that.

You can only use your notesheet for 20 minutes. After that time, you must turn in your test whether or not you are done with it.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 T1 T2 T3 T4 T5 Total 5 4 6 15 10 15 6 14 11 4 14 3 3 10 5 4 4 4 9 9 150