Question #63

Reading: Reading 1 Multiple Regression

PDF File: Reading 1 Multiple Regression.pdf

Page: 30

Status: Unattempted

Part of Context Group: Q63-66 First in Group
Shared Context
of 139 The management of a large restaurant chain believes that revenue growth is dependent upon the month of the year. Using a standard 12 month calendar, how many dummy variables must be used in a regression model that will test whether revenue growth differs by month? A) 13. B) 12. C) 11. Damon Washburn, CFA, is currently enrolled as a part-time graduate student at State University. One of his recent assignments for his course on Quantitative Analysis is to perform a regression analysis utilizing the concepts covered during the semester. He must interpret the results of the regression as well as the test statistics. Washburn is confident in his ability to calculate the statistics because the class is allowed to use statistical software. However, he realizes that the interpretation of the statistics will be the true test of his knowledge of regression analysis. His professor has given to the students a list of questions that must be answered by the results of the analysis. Washburn has estimated a regression equation in which 160 quarterly returns on the S&P 500 are explained by three macroeconomic variables: employment growth (EMP) as measured by nonfarm payrolls, gross domestic product (GDP) growth, and private investment (INV). The results of the regression analysis are as follows: Coefficient Estimates Parameter Coefficient Standard Error of Coefficient Intercept 9.50 3.40 EMP -4.50 1.25 GDP 4.20 0.76 INV -0.30 0.16 Other Data: Regression sum of squares (RSS) = 126.00 Sum of squared errors (SSE) = 267.00 BG-stat: Lag 1: 3.15; Lag 2: 3.22 Degree of Freedom Denominator Degree of Freedom Numerator 1 2 3 153 3.90 3.06 2.66 154 3.90 3.05 2.66 155 3.90 3.05 2.66 156 3.90 3.05 2.66 157 3.90 3.05 2.66 158 3.90 3.05 2.66
Question
The percentage of the total variation in quarterly stock returns explained by the independent variables is closest to:
Answer Choices:
A. 32%
B. 47%
C. 42%
Explanation
The R2 is the percentage of variation in the dependent variable explained by the independent variables. The R2 is equal to the SSRegression/SSTotal, where the SSTotal is equal to SSRegression + SSError. R2 = 126.00/ (126.00+267.00) = 32%.
Actions
Practice Flashcards