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in panel data regression we have four different assumptions which need to be in place and why do do we have to have these assumptions its because we have to know when we can trust our estimate of the beta the slope and when we cant and these four assumptions they resemble the assumptions for cross-sectional analysis so lets get to it the regression we are going to look at is the entity fixed effects regression okay the entity so for each entity you have a different intercept okay so this is our example so the first regression assertion is as follows its the expectation of the residual equals zero no matter which value the x variable takes on in either of the time periods for that single entity it it also includes the intercept okay because the intercept varies across the entities so for example if i equals 1 we take the first entity and t equals 2 we take the second time period then we would get the expectation of the residual for entity 1 and time period 2 given the values of ent