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Once you know the average return, the standard deviation of each index and the correlation coefficient between each pair of indexes, the rest is math.
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If an intercept is included and the number of explanators is more than one, R2 is also referred to as the coefficient of multiple correlation.
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According to the Ibbotson SBBI 2011 Yearbook, long-term Treasuries have a correlation coefficient of 0.11 to large-cap stocks.
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Experimenters found a correlation coefficient of 0.46, after accounting for age differences.
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The long-term coefficient of correlation to the one-year Treasury is .80 while the ten-year Treasury scores .75 and the 30-year Treasury is lower still at .66.
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However, intermediate-term Treasuries have a correlation coefficient of 0.08.
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In a subset of patients with relapsing remitting MS, the most common form of the disease, the correlation coefficient jumped to 0.69, suggesting an even stronger association between the retinal measurement and brain atrophy.
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My charts on the coefficient of performance among stock sectors show lessened correlation, a good sign.
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