# least squares

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## least squares

(lēst skwārz),
A principle of estimation invented by Gauss in which the estimates of a set of parameters in a statistical model are the quantities that minimize the sum of squared differences between the observed values of the dependent variable and the values predicted by the model.

## least squares

a method of regression analysis. The line on a graph that best summarizes the relationship between two variables is the one that ensures that there is the least value of the sum of the squares of the deviation between the fitted curve and each of the original data points.
References in periodicals archive ?
Model training methods include Ordinary Least Squares and Linear Ordinary Least Squares with an Inequality Constraint and Newton Interior-Point Algorithm.
Ordinary least square (OLS) technique has been applied to get estimated parameters.
Ordinary least squares regressions using clustered standard errors to control for repeated observations from the same state were used to estimate the coefficients of the Reform variable.
We used the Ordered Probit method; as a robustness check, we also utilized Ordinary Least Squares and the Propensity Score Matching method.
Equations 10 and 11 were estimated by ordinary least squares on the panel data set of all Texas school districts, with the results reported in Table 7.
Traditional hedonic modelling techniques, especially the ordinary least squares technique, are sensitive to outlying observations; even a single outlier can drastically change the results and misguide the inferences.
The ordinary least squares regression models that are usually the beginning (and too often the end) of coursework in multivariate models are not appropriate for every situation.
In previous work, as in Boivin (2006), ordinary least squares have been employed to estimate the Taylor rule that uses the Greenbook forecasts.
Key words: Ordinary least squares estimator, best linear unbiased estimator, orthogonal projections.
What can one say about cross-country foreign direct investment (FDI) using panel data and ordinary least squares regressions?
The estimates of meal share and exercise are calculated using ordinary least squares (OLS).
In an ordinary least squares regression analysis that controlled only for demographic characteristics, the higher the sexual media diet score, the more precoital behaviors black teenagers reported at follow-up.

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