Howard Golub, CFA, is preparing to write a research report on Stellar Energy Corp. common stock. One
Question:
Golub directs his assistant, Jill Batten, to study the relationships between Stellar monthly common stock returns versus the previous month's percent change in the US Consumer
Price Index for Energy (CPIENG), and Stellar monthly common stock returns versus the previous month's percent change in the US Producer Price Index for Crude Energy Materials (PPICEM). Golub wants Batten to run both a correlation and a linear regression analysis. In response, Batten compiles the summary statistics shown in Exhibit 1 for the 248 months between January 1980 and August 2000. All of the data are in decimal form, where 0.01 indicates a 1 percent return. Batten also runs a regression analysis using Stellar monthly returns as the dependent variable and the monthly change in CPIENG as the independent variable. Exhibit 2 displays the results of this regression model.
EXHIBIT 2 Regression Analysis with CPIENG
Regression Statistics
Multiple R...............................0.1452
R-squared...............................0.0211
Standard error of the estimate........0.0710
Observations...........................248
Batten wants to determine whether the sample correlation between the Stellar and CPIENG variables (0.1452) is statistically significant. The critical value for the test statistic at the 0.05 level of significance is approximately 1.96. Batten should conclude that the statistical relationship between Stellar and CPIENG is:
A. significant, because the calculated test statistic has a lower absolute value than the critical value for the test statistic
B. significant, because the calculated test statistic has a higher absolute value than the critical value for the test statistic
C. not significant, because the calculated test statistic has a higher absolute value than the critical value for the test statistic
A Corporation is a legal form of business that is separate from its owner. In other words, a corporation is a business or organization formed by a group of people, and its right and liabilities separate from those of the individuals involved. It may...
Step by Step Answer:
Quantitative Investment Analysis
ISBN: 978-1119104223
3rd edition
Authors: Richard A. DeFusco, Dennis W. McLeavey, Jerald E. Pinto, David E. Runkle