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19 showing disproportionately Increasing output with any increase in input ( cost, or employment ). In fact, however, we often find that it is not so and that both regression coefficients are smaller than one, decreasing cost and decreasing returns apparently coexisting. How is this possible? -t can only occur with wide dispersion round the regression line. The exceptionally effieient plant will tend to be counted as small plant in the input dimension while the unusually inefficient ones will be counted as large. In consequence there will be a bias in favour of decreasing returns as measured in the input dimension ( regression of output on cost or employment ). The inversion äf the regression corresponds to the fact that the ration of the two standard deviations is reciprocal in the two regression coefficients. If it is 9/l0 in the regression of input on output, it is 1o/9 in the other regression. But, unless the correlation coeffiaient is sufficiently high, the regression coefficients will both have values below unity. The same mechanism rust also be at work in' ' the wealth-income distribution: These with high return for a given wealth will be classified unong large incomes, those with low returns with the same wealth among small incomes, which tends to counteract the natural tendency of wealth to increase with income. This may have contributed to the flatness of the wealth-income regression in the lower income range, although the chief reason for that is no doubt the truncation of the wealth distribution. The preceding example ;f plant size, in which only one underlying theoretical relutnon ispresumed to exist, shows that while it is logical to expect in this case, if one regression reflects the underlying relation, that the other should as it were represent the inverse of .it, yet in reality this will not be true because the second regression will be more or less distorted by the dispersion of values round the first regression line. If we have two underlying relations then each of the regression lines will be’ influenced by both of them, either directly or indirectly, because each will be to some