algal growth and the water quality effects were studied and modeled in the lower reaches of the colusa basin drain as a stream system. statistical techniques such as the correlation matrix and the stepwise multiple regression are performed on such variables as algal biomass, ammonia, nitrate, orthophosphate, temperature, and the solar radiation intensity in deriving an algae statistical model. ...

The natural complexity of ecological communities regularly lures ecologists to collect elaborate data sets in which confounding factors are often present. Although multiple regression is commonly used in such cases to test the individual effects of many explanatory variables on a continuous response, the inherent collinearity (multicollinearity) of confounded explanatory variables encumbers ana...

We establish optimal rates for online regression for arbitrary classes of regression functions in terms of thesequential entropy introduced in [14]. The optimal rates are shown to exhibit a phase transition analogous to thei.i.d./statistical learning case, studied in [16]. In the frequently encountered situation when sequential entropyand i.i.d. empirical entropy match, our resu...

Regression analysis can imply a broader range of techniques that ordinarily appreciated. Statisticians commonly define regression so that the goal is to understand “as far as possible with the available data how the the conditional distribution of some response y varies across subpopulations determined by the possible values of the predictor or predictors” ( Cook and Weisberg, 1999: 27). For ex...