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How to see if there is linearity in a scatterplot with a categorical independent variable

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Hi,

We are trying to do a linear regression to see whether chain affiliation has an influence on quality. In order to do a linear regression multiple assumptions need to be fulfilled, one of those is linearity. We wanted to consider linearity by making scatter-plots, however we have categorical independent variables so we don't know how we can see if this is linear or not... Anyone any suggestions?

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