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Refers to a general estimation technique that selects the parameter value to minimize the squared difference between two quantities, such as the observed value of a variable, and the expected value of that observation conditioned on the parameter value. Gaussian linear models are fit by least squares and least squares is the idea underlying the use of mean-squared-error (MSE) as a way of evaluating an estimator.

1 vote
1 answer
4k views

Heteroscedasticity in linear regression, there is a a pattern. What to do?

I'm modelling the behaviour of two variables with a linear regression. Since I saw (and believe) there is a multiplicative behaviour I transformed the dependent and independent variables taking the lo …
marcodena's user avatar
  • 647
2 votes
0 answers
235 views

High $R^2$ on Ordinary least squares model with violated assumptions. Is it good?

Recently I tried to fit some points which (from the plot) seems linearly distributed. The fit result (in R) is: Residuals: Min 1Q Median 3Q Max -112223 -2532 2021 3698 …
marcodena's user avatar
  • 647
18 votes
4 answers
3k views

Why is Ordinary Least Squares performing better than Poisson regression?

I'm trying to fit a regression to explain the number of homicides in each district of a city. Although I know that my data follows a Poisson distribution, I tried to fit an OLS like this: $log(y+1) = …
marcodena's user avatar
  • 647