One of the principal problems in hydrology regression problems in hydrology will show is to define the effects of changes in land use that they do not conform to a multivariate on the regi'men of streams. Because of the normal distribution. Such variables as water many factors affecting streamflow, the in-year, degree of urbanization, percentage of ability even to recognize some of them, and basin in row crops, and miles of terracing are the lack of precision in describing them quanti-not randomly distributed. For statistical retitively, streamflow must be expressed by a lations which include at least one variable statistical relation. Multiple regression is a of this type the correlation coefficient may not useful tool for this purpose provided that the give a valid measure of the relation between required assumptions can be met.
variables. Sharp, Gibbs, Owen, and Harris [1960]The distinctions between regression and recognized the weakness of the correlation correlation must be recognized in order to coefficient as an indicator of the quality of the successfully apply and interpret either of the estimating equation. Most texts on applied methods. These distinctions are very marked, statistics emphasize the correlation rather than although they may seem of little importance the regression model, and as a consequence because of the similarity of the computation hydrologists tend to evaluate results of reprocedures. In the case of linear correlation gression a•mlyses as if they were correlation the assumptions are made that the data are analyses. A recognition of the regression problem drawn from a bivariate or a multivariate normal is necessary before the appropriate interpretation distribution and that the observed values are of a specific analysis can be made.
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