Timeline for Linear regression, linearity assumption violated?
Current License: CC BY-SA 4.0
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| when toggle format | what | by | license | comment | |
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| Mar 1, 2023 at 12:02 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Oct 20, 2022 at 14:05 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Apr 26, 2019 at 19:37 | comment | added | StatsStudent | You might want to fit a spline to the data. You may also carry out a the F test for lack of fit since it appears you have multiple observations at the same at one or more levels of your dependent variable. See Section 3.7 (page 119) of Applied Linear Statistical Models, 5th, by Kutner, et. al. | |
| Apr 26, 2019 at 17:24 | comment | added | maS | Hi. Thanks a lot. What analysis could verify this? | |
| Apr 26, 2019 at 15:19 | comment | added | StatsStudent | It appears that the linearity assumption is just fine -- there's just no slope. In other words, it appears by eyeballing this that the conditional distribution of $y$ (your dependent variable) given $x$ (your independent variable) is no different from the marginal distribution of $y$. In other words, it seems the average value is 2 is a good prediction, regardless of the level of your independent variable. To be clear, there's no obvious trend, but an analysis can easily verify this. There may be some dip in your mean response for values around 50-150 of your dependent var. though. | |
| Apr 26, 2019 at 14:40 | answer | added | dante | timeline score: 1 | |
| Apr 26, 2019 at 13:10 | review | First posts | |||
| Apr 26, 2019 at 13:10 | |||||
| Apr 26, 2019 at 13:07 | history | asked | maS | CC BY-SA 4.0 |