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1 vote
0 answers
44 views

Using multiple individual regressions Y~X_i to find the best two combination of predictors

Problem Statement Let's say I have multiple solved OLS regressions of the form $Y \sim X_1$, $Y \sim X_2$, ..., $Y \sim X_n$ I want to find which best two combined are the best predictors combined, ...
Joe's user avatar
  • 271
1 vote
0 answers
69 views

Subtracting predictions from linear regression model & stochastic error [closed]

Understanding that a linear regression model includes stochastic error, can I eliminate error from my model's predictions by subtracting one prediction from the other? Let's say we have a model of the ...
intransigent_rocker's user avatar
1 vote
0 answers
563 views

How can I compare the effectiveness of a regression model for different datasets

I have a multiple linear model that works on different datasets. suppose that the first dataset produces y in range of [1,100] and the second one in range of [1, ...
towi_parallelism's user avatar
3 votes
0 answers
914 views

Minimize sum of squared errors or its mean

Is there any difference in minimizing the sum of squared errors in a linear regression model learning, compared to minimizing the mean of the sum of squared errors, apart from having easier math when ...
Zelphir Kaltstahl's user avatar
-1 votes
1 answer
34 views

Interpret Model error result.

I have a regression model and used some independent variables to estimate dependent variables.Now I am trying to evaluate the model performance by using percentage bias (p_bias) and Model efficiency (...
bikuser's user avatar
  • 217
5 votes
2 answers
3k views

Adding Regressors: How Does the Estimated Variance of the Error Terms Change?

Consider the regression model $$Y=X\beta+\epsilon$$ where the error terms in $\epsilon=(\epsilon_1,\ldots,\epsilon_n)^T$ are homoskedastic and where $n$ is the number of observations. Assume that we ...
Elias's user avatar
  • 1,109
3 votes
1 answer
531 views

A reasonable multivariate regression error metric

How would you compare error metrics of a multiple output regression? Normalised mean square error for each variable? How about for the overall performance of the model, would you just take the mean ...
KRS-fun's user avatar
  • 363
32 votes
1 answer
9k views

How incorrect is a regression model when assumptions are not met?

When fitting a regression model, what happens if the assumptions of the outputs are not met, specifically: What happens if the residuals are not homoscedastic? If the residuals show an increasing or ...
SpeedBirdNine's user avatar
1 vote
1 answer
3k views

How to Reduce Error Term

My question is "What could you do if you wanted to reduce the error term (e)? I know the error term is basically the distance between the line and the point but I don't know how you would reduce it. ...
Josh's user avatar
  • 11