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Linear Regression
Linear regression
ChristofWolf and HenningBest

In this chapter we first present the basic idea of linear regression and give a non-technical introduction. Next we cover the statistical basis of this method and discuss estimation, testing and interpretation of regression results. The third section is devoted to the presentation of an example analysis. In closing, we first discuss issues related to the causal interpretation of OLS regression coefficients and then mention some general problems encountered in linear regression and recommend further reading.

In science we often are interested in studying hypotheses of the form ‘the more X, the more/less Y’, for example ‘the higher the education of a person is, the more willing s/he is to accept immigrants’. Thus, we assume that acceptance of immigrants is partly ...

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