How are returns on common stocks in overseas markets related to returns in U.S.

Question

How are returns on common stocks in overseas markets related to returns in U.S. markets? Measure U.S. returns by the annual rate of return on the Standard & Poor's 500-Stock Index and overseas returns by the annual rate of return on the Morgan Stanley EAFE (Europe, Australasia, Far East) index. Both are recorded in percents. Regress the EAFE returns on the S&P 500 returns for the 30 years 1971 to 2000. Here is part of the Minitab output for this regression. The regression equation is EAFE = 4.76 + 0.663 S&P.

What are the values of the regression standard error s and the squared correlation r 2 ? (Enter your answers to four decimal places.)

"Analysis of Variance" Source DF SS MS F P Regression 1 3445.9 3445.9 9.5 0.005 Residual Error Total 29 13598.3

Explanation / Answer

regression standard error=

S = SST-SSR

= 13598.3 -3445.9

= 10152.4

r^2 =1-(SSR/SST)

= 1-(10152.4/13598.3)

=0.2534067

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