19
votes
Accepted
If X=Y+Z, Is it ever useful to regress X on Y?
If you know $X = Y + Z$ and you have $Y$ and $Z$ measured, why would you need to run a regression of $X$ on $Y$ and $Z$? It provides no additional information and does not allow you to make "...
- 22.5k
6
votes
If X=Y+Z, Is it ever useful to regress X on Y?
Linear regression is a tool that is used to achieve a goal. So any answer will depend on the goal to be achieved. As said already in the answer of @Noah, if you already know $X$, $Y$, and $Z$, I can't ...
- 12.5k
5
votes
If X=Y+Z, Is it ever useful to regress X on Y?
Two people step on a scale. The scale outputs only the total weight of the couple.
If you know the weight of the first person ($Y$) can you guess what the scale will output ($X$) without knowing ...
- 1,288
2
votes
Accepted
How does a small range of the dependent variable affects linear regression?
Since your DV is naturally bounded between 0 and 100, but you have only observed values larger than 96, the lower bound is probably not going to be a problem. (Otherwise I would have looked at a beta ...
- 97.2k
1
vote
Accepted
Linear regression decimal residuals below and above don't match exactly
Rounding is the culprit. Do it all with fractions to get the exact zero.
$$
x_1=12.2=\dfrac{366}{30}\\
x_2=15.5=\dfrac{465}{30}\\
x_3=16.6=\dfrac{498}{30}\\
\bar x = \dfrac{443}{30}\\
x_1-\bar x = \...
- 32.6k
1
vote
Linear regression with Poisson distributed error term?
The model itself is quite weird and here are some example:
The response variable is count but the regression model is Linear. So you would expect to see some "Impossible" prediction like 7....
- 404
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