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 24.
2. Identify the type of linear correlation based on the value of r and the p-value. Four parts. Look at homework 24.
3. Complete the ANOVA table. This is a "difficult" level ANOVA table from the ANOVA generator that we looked at in class.
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 25.
   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. Complete the ANOVA table. This table is completely blank to begin with. Look at homework 26.
6. Multiple Regression - the table of coefficients is given. Look at homework 27.
   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. Chi-squared goodness of fit test - the observed frequencies and claimed proportions are given. Look at homework 21.
   1. Find the expected frequencies.
   2. Give the number of degrees of freedom.
   3. Know the null and alternative hypotheses.
   4. The test statistic and/or p-value are given; determine if the test statistic lies in the critical region.
   5. Give the decision and conclusion.
8. 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.
9. Test for independence / contingency table - the observed frequencies are given.
   1. Find the probabilities of some events from the table.
   2. Know the null and alternative hypotheses.
   3. Find the expected frequency for one of the cells in the table
   4. Determine the degrees of freedom
   5. The test statistic and/or p-value are given; give the decision and conclusion.
10. One way analysis of variance - summary information is given. Look at homework 22.
    1. Write the null and alternative hypothesis.
    2. Complete the ANOVA table. This is completely blank to begin with except for the p-value.
    3. Give a conclusion
11. Make a picture to illustrate a hypothesis test. Be sure to completely label it.
12. Two-way analysis of variance. Look at homework 23.
    1. Complete the two-way ANOVA table
    2. Know the three null and alternative hypotheses being tested with the table
    3. Give conclusions based on results from the table
13. The sample size, sum of the values, and sum of the squares of the values are given. Find the mean, variation, variance, and standard deviation for the sample.
14. Write the claim using symbols. Define any subscripts that are necessary. Ten parts.
15. The critical value(s) and test statistic are given. Identify the test as left tail, right tail, or two tail and give the decision.
16. Conduct a hypothesis test from start to finish without all of the step by step prompting. Write the null and alternative hypotheses, identify the type of test (1 proportion, 2 sample t, paired means, correlation, etc.), find the test statistic and p-value, and give a decision and conclusion. Use Minitab or a TI-83/84 calculator to find the test statistic and p-value.
17. Same as 16.
18. Same as 16.
19. The population mean and standard deviation for a normally distributed population are given. Use the probability distribution calculator to answer this question.
    1. Label the axes of the bell-curve and illustrate the 68-95-99.7 rule.
    2. Find the probability of an individual having a particular value.
    3. Find the score given the area to the left or right.
    4. Find the probability that the mean of a sample will have a particular value.

Notes

• You will definitely want a calculator.
• There is a take home exam. Questions 16 - 19 are on the take home exam and are due at the beginning of class on the day of the exam.
• You will not 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.
• The notesheet will be turned in with the test and given back with the test.
• There is an appendix at the rear of the test that has tables that were too big to fit on the page. Feel free to tear this off and use it as a separate sheet.

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 will get them back with the graded test.
• You may put down anything you want to, including examples. However, do not write the answers to the examples on the test, the problems are different.
• 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

Return to Math 113 homepage.

Last updated May 6, 2009 7:07 AM