Exam 4 Study Guide: Chapters 9-10

  1. Four scatter plots are shown. Match the scatter plot with the value of the correlation coefficient.
  2. Chi-squared goodness of fit test
    1. The observed frequencies and claimed proportions are given, find the expected frequencies.
    2. Give the number of degrees of freedom.
    3. Know the null and alternative hypotheses.
    4. The test statistic and p-value are given; determine if the test statistic lies in the critical region.
    5. Give the decision and conclusion.
  3. 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. Complete the ANOVA table
    4. Find the sample size based on the ANOVA table
    5. Find the value of the coefficient of determination, r2
    6. Find the standard error of the estimate, se
  4. Correlation and regression - the summary statistics, correlation coefficient and p-value are given
    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. Estimate a value of the response variable for the specified value of the predictor variable
    6. Complete the ANOVA table. This table is completely blank to begin with.
  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 table of coefficient p-values.
    5. Decide which one variable you would keep or eliminate from the model if you had to.
    6. Complete the ANOVA table.
    7. Determine the sample size based on the ANOVA table.
    8. Write the null and alternative hypothesis for the ANOVA table.
    9. Find the value of R2 and adjusted-R2 from the ANOVA table.
  6. Rank the multiple regression models from best to worst based on the appropriate values. The R2, adjusted-R2, and number of predictor variables is given.
  7. Identify the type of linear correlation based on the value of r and the p-value.
  8. Test for independence / contingency table
    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. The critical value and test statistic are given; give the decision and conclusion.
  9. One way analysis of variance
    1. Write the null and alternative hypothesis.
    2. Complete the ANOVA table
    3. Give a conclusion
    4. Find the pooled variance
    5. Find the variance of the response variable
  10. 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.



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

Points per problem

# 1 2 3 4 5 6 7 8 9 10 Total
Pts 4 9 15 9 20 3 3 11 10 16 100