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Many statistical methods assume data or a model's residuals are normally distributed. Use this tag for questions about the assumption & testing of normality, or about normality as a *property*. Use [normal-distribution] for questions about the normal distribution per se.
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Does H0:beta_1=0 in SLR assume normality of outcome which MIGHT NOT BE TRUE AT ALL?
Theoretical Simple Linear Regression Model under the Null Hypothesis
The theoretical simple linear regression model under the Null Hypothesis ($\beta_1 = 0$) is:
$$
Y_i = \beta_0 + \epsilon
$$
where $ …