# Exam 6 Study Guide: Chapters 26-29

**chi-squared goodness of fit test**
- The observed frequencies
and claimed proportions are given, find the expected frequencies.
- Determine the standardized residual for one of the categories.
- Give the number of degrees of freedom.
- Find the critical value.
- Determine if the test statistic lies in the critical region.
- Give the decision.
- Give a conclusion.

**test for independence**
- Write the null hypothesis
- Find the expected frequency for one of the cells in the table
- Determine the degrees of freedom
- Find the critical value
- Give the decision.
- Give a conclusion.

**one way analysis of variance**
- Write the null and alternative hypothesis.
- Complete the ANOVA table
- Give a conclusion
- Determine whether the residuals are normally distributed
- Find the pooled variance
- Find the variance of the sample data
- Find the standard deviation of the sample data

**correlation and regression**
- Complete the table of coefficients
- Complete the ANOVA table
- Give a conclusion about the y-intercept or slope.
- Find the sample size
- Find the value of the coefficient of determination
- Find the standard deviation of the residuals
- Find the critical t values and use them find the margin of error for
the estimate of the slope, b
_{1}
- Find a confidence interval for the slope of the regression line.

**multiple regression**
- Complete the table of coefficients
- Rank the predictor variables in order from best predictor to worst
predictor
- Write the null and alternative hypothesis for one of the rows in the
coefficient table.
- Give a conclusion based on the coefficient table values.
- Decide which one variable you would keep or eliminate from the model
if you had to.
- Complete the ANOVA table.
- Write the null and alternative hypothesis for the ANOVA table.
- Find the value of R
^{2} and adjusted-R^{2} from the
ANOVA table.
- Rank the models from best to worst based on either the R
^{2} or adjusted-R^{2} values.

**two-way analysis of variance**
- complete the two-way ANOVA table
- Know the three null and alternative hypotheses being tested with the
table
- 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

# |
1 |
2 |
3 |
4 |
5 |
6 |
Total |

Pts |
13 |
10 |
14 |
21 |
24 |
18 |
100 |