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.



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

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

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