STA221H1 Lecture Notes - Lecture 9: Observational Error, Dependent And Independent Variables, Blood Type

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Give examples for which the two types of models might be appropriate. The deterministic model is preferred if none of the above factors do not apply. This is most common in theoretical equations (e. g. physics). The independent variable is used in an attempt to explain the dependent variable. The independent variable is on the x axis whereas the dependent variable is plotted on the y axis. Each experimental y value consists of a deterministic component + random error. Since we assume that the mean of random error = 0, this means that we are also assuming that the mean of y, (ey) = y^ as predicted by the regression line. The deterministic component, the regression line, is called the line of means because e(y) for each value of x falls on the regression line. No, since most real life situations (and not theoretical models) follow the probabilistic model and not the deterministic model.

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