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A mathematical technique used to explain and/or predict. The general form is Y = a + bX + u, where Y is the variable that we are trying to predict; X is the variable that we are using to predict Y, a is the intercept; b is the slope, and u is the regression residual. The a and b are chosen in a way to minimize the squared sum of the residuals. The ability to fit or explain is measured by the R-square.

Regression Analysis

In statistics, the analysis of variables that are dependent on other variables. Regression analysis often uses regression equations, which show the value of a dependent variable as a function of an independent variable. For example, a regression could take the form:

y = a + bx

where y is the dependent variable and x is the independent variable. In this case, the slope is equal to b and a is the intercept. When plotted on a graph, y is determined by the value of x. Regression equations are charted as a line and are important in calculating economic data and stock prices.


(1) A statistical technique for creating a mathematical equation to explain the relationship between known variables so that the model can be used to predict other variables when one has insufficient data. Multiple regression analysis is the basis of computerized automatic valuation models (AVM) employed instead of appraisals by many mortgage lenders. (2) An appraisal principle that if properties of relatively unequal value are located near each other, the one with the lower value will depress the value of the other. (3) A withdrawal of the sea from the land due to an uplift of the land or a drop in sea level.

References in periodicals archive ?
they censure liberal Muslims and choose to side instead with every regressive reactionary in the name of 'cultural authenticity' and anti-colonialism.
Levinson demonstrates that the net effect of the new footprint CAFE standards is to make efficiency standards even more regressive relative to a gas tax.
Wouldn't it be regressive to take that option from them?
Another index, proposed by the World Health Organization, is the index of fairness of financial contribution, but its ability to discriminate between regressive and progressive systems has been disputed (Wagstaff, 2002).
on cigarettes, gasoline and beer) are the most regressive because they take a larger share of income from low and moderate income families.
Nevertheless, the current set of elected members of BCBC has voted in favour of these regressive measures with the local Labour Party leading the way.
They are also socially regressive - the greatest benefits would be obtained by those earning the most - and the rigid model being proposed would make it hard for countries to develop systems of shared parental leave which would offer better support to working parents.
Moreover, the fact should be mentioned that the selection of the form of regressive equation has a greater importance than the valuation of its parameters.
Previous research already has suggested that a carbon tax would probably be regressive.
That has been because it is considered a regressive tax.
It is the most regressive tax there is, with no consideration of equity.