Question: You are analyzing the variables that explain the returns on the stock of the Boeing Company. Because overall market returns are likely to explain a
R t = monthly return on the stock of Boeing in month t
R ALL t = monthly return on a value-weighted index of all the companies listed on the
NYSE, AMEX, and NASDAQ in month t
R SP t = monthly return on the S&P 500 Index in month t
ÎX t = change in month t in the log of a trade-weighted index of the foreign exchange value of the US dollar against the currencies of a broad group of major US trading partners
Regression of Boeing Returns on Three Explanatory Variables: Monthly Data, January 1990-December 2002
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From the t-statistics, we see that none of the explanatory variables is statistically significant at the 5 percent level or better. You wish to test, however, if the three variables jointly are statistically related to the returns on Boeing.
A. Your null hypothesis is that all three population slope coefficients equal 0-that the three variables jointly are statistically not related to the returns on Boeing. Conduct the appropriate test of that hypothesis.
B. Examining the regression results, state the regression assumption that may be violated in this example. Explain your answer.
C. State a possible way to remedy the violation of the regression assumption identified in Part B.
Coefficient 0.0026 Standard Error t-Statistic Intercept RALL: RsP 0.0066 0.3939 -0.1337 0.8875 0.2005 -0.2150 0.6219 0.6357 1.3961 0.5399 AX, 0.3714 df SS MSS ANOVA Regression 3 0.1720 0.0573 152 0.8947 0.0059 Residual Total Residual standard error R-squared Observations 155 1.0667 0.0767 0.1610 156
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