The assumptions of simple regression also hold for multiple regression. They are: We can check these four assumptions before running our regression. Assumptions 5 and 6 are checked after running our regression analysis.
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The outcome variable should be continuous and cover a wide range.
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Each value of the outcome variable should be independent of each over value. For example, this assumption would be violated if there were some sort of time dependency in the data.
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The relationship between each predictor variable and the outcome variable should be approximately linear. This is checked by plotting a scatter plot.
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The continuous variables should be approximately normally distributed and not contain extreme outliers. We can check this by plotting a histogram and computing the K-S statistic. A transformation of some variables may be required.