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approximation arithmetic mean assumption Biometrika calculation chance values Chap computation conditional frequency-distribution conditional mathematical expectation consideration considered consumption of spirits corre denote determined different values empirical correlation coefficient empirical correlation ratio empirical material empirical values equal to zero error of estimation extracted formulae frequency functional relationship harvest Hence homoscedastic instance intensity of connexion investigation joint frequency-distribution Karl Pearson law of dependence line of regression linear regression loc cit matical expectation mean square contingency mean value measured methods of inquiry mutually independent Non-Linear Regression normal correlation notion number of trials number thrown numerical values obtain parabola parameters Pearson possible values precisely presumptive value priori magnitudes problem R. A. Fisher r'in regression equation relation standard deviation standard error statistician stochastic connexion stochastically associated stochastically independent straight line systematic error term of order theory of correlation theory of statistics tion true regression Udny Yule uncorrelated vide white balls X-values