Assumptions underlying regression

Regression analysis is a powerful statistical tool frequently employed in psychological research to explore relationships between variables. However, for regression analysis to yield accurate and meaningful results, several key assumptions must be met. These assumptions provide the foundation upon which the validity and reliability of the regression model are built. Let's delve into these assumptions in detail:

1. Linearity: The relationship between the independent and dependent variables should be linear. This means that changes in the independent variable should lead to systematic changes in the dependent variable in a consistent direction. Scatterplots can be used to visually inspect the linearity assumption. If the relationship appears nonlinear, transformations of variables may be necessary.

2. Independence of observations: Each observation in the dataset should be independent of the others. In psychological research, this ___ ________ __________ ________ __________ _______ ____ __________.
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