Exam 7 Study Guide: Chapters 26-29

1. chi-squared goodness of fit test
   1. The observed frequencies and claimed proportions are given, find the expected frequencies.
   2. Determine the standardized residual for one of the categories.
   3. Give the number of degrees of freedom.
   4. Find the critical value.
   5. Determine if the test statistic lies in the critical region.
   6. Give the decision.
   7. Give a conclusion.
2. test for independence
   1. Write the null hypothesis
   2. Find the expected frequency for one of the cells in the table
   3. Determine the degrees of freedom
   4. Find the critical value
   5. Give the decision.
   6. Give a conclusion.
3. one way analysis of variance
   1. Write the null and alternative hypothesis.
   2. Complete the ANOVA table
   3. Give a conclusion
   4. Determine whether the residuals are normally distributed
   5. Find the pooled variance
   6. Find the standard deviation of the sample
4. correlation and regression
   1. Complete the table of coefficients
   2. Complete the ANOVA table
   3. Give a conclusion about the y-intercept or slope.
   4. Find the sample size
   5. Find the value of the coefficient of determination
   6. Find the standard deviation of the residuals
   7. Find the critical t values and use them find the margin of error for the estimate of the slope, b₁
   8. Find a confidence interval for the slope of the regression line.
   9. Look at some plots and determine what you're looking for in the graph as far as the assumptions and conditions for correlation and regression go.
5. multiple regression
   1. Complete the table of coefficients
   2. Rank the predictor variables in order from best predictor to worst predictor
   3. Write the null and alternative hypothesis for one of the rows in the coefficient table.
   4. Give a conclusion based on the coefficient table values.
   5. Decide which one variable you would keep or eliminate from the model if you had to.
   6. Complete the ANOVA table.
   7. Write the null and alternative hypothesis for the ANOVA table.
   8. Find the value of R² and adjusted-R² from the ANOVA table.
   9. Rank the models from best to worst based on either the R² or adjusted-R² values.
6. two-way analysis of variance
   1. complete the two-way ANOVA table
   2. Know the three null and alternative hypotheses being tested with the table
   3. Give a conclusion based on results from the table.

Notes

• You will definitely want a calculator.
• You will not need Minitab
• Each problem is worth a lot of points, but most of them have been designed so that you can continue even if you can't completely get the first part right.

Points per problem

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Last updated November 20, 2003 9:59 PM