Math 113: Study Guide Chapters 9-10

  1. Know the assumptions / properties of Pearson's Linear Correlation Coefficient.
  2. Know the assumptions / properties of the contingency tables.
  3. Know the assumptions / properties of multinomial experiments.
  4. Know the guidelines for using the regression equation.
  5. Know the properties of multiple regression.
  6. Contingency Table. Write the null hypotheses. Find one (not all of them) expected frequency. Identify the degrees of freedom. The test statistic and p-value are given, state the decision and conclusion.
  7. Know what happens to the test statistic of a contingency table when the data is manipulated. Three parts. Do NOT write "the same" but give a numerical answer. Also give a conclusion based on the test statistic and degrees of freedom (use table A-4 to get critical value).
  8. Know what happens to the test statistic of a multinomial experiment when the data is manipulated. Two parts. Do NOT write "the same" but give a numerical answer. Also give a conclusion based on the test statistic and the critical value.
  9. Know what happens to the linear correlation coefficient when the data is manipulated. Three parts. Do NOT write "the same" but give a numerical answer. Also give a conclusion based on the test statistic and the sample size (use table A-6 to get critical value).
  10. The value of the correlation coefficient, r, and the total variation are given. Find the coefficient of determination, explained variation, and unexplained variation.
  11. A statistical test that you have never seen and a p-value are given. Give the conclusion.
  12. Linear regression problem. The summary statistics are given to you. Look at a scatter plot and determine whether or not there appears to be any linear correlation. Identify the null hypothesis, the correlation coefficient, critical value (table A-6), decision, conclusion. Tell whether or not the regression equation should be used and estimate dependent variable. Use the appropriate equation to estimate a value of the dependent variable. Find the coefficient of determination.
  13. Multiple regression problem. A bivariate correlation table from SPSS is given; rank the variables from most correlated to least correlated to the stated variable. The coefficients table from linear regression in SPSS is given; determine which three variables should be eliminated from the model.
  14. Use Statdisk to work a test for independence. Find the degrees of freedom, critical value, test statistic, and p-value. State the decision and conclusion.
  15. Use Statdisk to perform linear regression. Write the null and alternative hypotheses. Find the value of the correlation coefficient, critical value, and regression equation from Statdisk. State the conclusion. Identify whether or not the regression equation be used. Find the mean value of the dependent variable. Predict the value of the dependent variable for a specified value of the independent variable.
  16. Work a chi-square goodness of fit (multinomial experiment) problem using Statdisk. The observed frequencies are given to you. Look at a histogram and determine if the sample has the claimed shape. Give the degrees of freedom, critical value, test statistic, p-value, decision, and conclusion. Interpret the Kolmogorov Smirnov test and Q-Q Plot to determine if the data are normally distributed.

Notes

# 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Total
Pts 5 5 5 5 5 8 5 4 5 6 4 10 6 8 9 10 100