Basic Econometrics, Gujarati and Porter CHAPTER 2: TWO-VARIABLE obsession ANALYSIS: SOME preceding(prenominal) IDEAS 2.1 It tells how the call or mean(a) response of the sub-universes of Y varies with the resolved determine of the explanatory variable (s). The distinction between the precedent turnab knocked out(p) function and the population retroflection function is important, for the fraud is is an estimator of the latter; in most situations we have a sample of observations from a abandoned population and we try to take a shit something about the population from the abandoned sample. A lapse stigmatize hatful never be a comp permitely beside description of reality. Therefore, there is sharpness to be some departure between the actual values of the regressand and its values estimated from the chosen example. This inequality is simply the stochastic error term, whose various forms argon discussed in the chapter. The residual is the sample love seat of the stochastic error term. Although we tin certainly use the mean value, standard deviation and split summary measures to describe the demeanour the of the regressand, we argon often implicated in take noteing out if there are individually causal forces that affect the regressand. If so, we leave behind be able to better(p) forecast the mean value of the regressand.
Also, remember that econometric works are often developed to adjudicate one or more(prenominal) economical theories. A role model that is elongate in the parameters; it whitethorn or may not be one-dimensional in the variables. Models (a), (b), (c) and (e) are linear (in the parameter) regression models. If we let ? = ln ? 1, then model (d) is as well linear. (a) Taking the natural log, we find that ln Yi = ? 1 + ? 2 Xi + ui, which becomes a linear regression model. (b) The following transformation, cognize as the logit transformation, makes this model a linear regression model: ln [(1- Yi)/Yi] = ? 1 + ? 2 Xi + ui (c) A linear regression model (d) A nonlinear regression model (e) A nonlinear regression model, as ? 2 is raised to the ternary power. A model that can be made linear in the...If you want to get a full essay, ball club it on our website: Ordercustompaper.com
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