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Results tagged with linear
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user 447845
For statistical topics which involve the assumption of linearity, for example, linear regression or linear mixed models, or for the discussion of linear algebra as applied to statistics.
-3
votes
In linear regression why does the response variable have to be continuous?
$$ \Large Y_i = \beta_0 + \beta_1 x_i + \epsilon_i \quad \text{ where } \quad \epsilon_i \sim \mathcal N\left(0, \sigma^2\right)$$
Outcome $Y_i$ is a continuous numeric variable because $$\epsilon_i …
- 1
0
votes
1
answer
29
views
Does H0:beta_1=0 in SLR assume normality of outcome which MIGHT NOT BE TRUE AT ALL?
Theoretical Simple Linear Regression Model under the Null Hypothesis
The theoretical simple linear regression model under the Null Hypothesis ($\beta_1 = 0$) is:
$$
Y_i = \beta_0 + \epsilon
$$
where $\ … 0.05:
Do we reject the hypothesis that there’s no linear association (which is what we want)? …
- 1