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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 ?
Wouldn't it be regressive to take that option from them?
With a largely regressive system such as lotteries, this means that those with low incomes are essentially subsidizing middle-income citizens (largely the users of college scholarships, for example).
Obviously, the student and teacher in this case are engaged in a regressive relationship.
Bate and Tren when it stated, "it is vital that policymakers, both at a national and international level, address the issue of tariffs on medicines and recognize the regressive nature of these duties, which ultimately tax the sick without regard for their economic status or ability to afford these medicines.
The study shows that property taxes are most regressive in municipalities where homeowner incomes vary widely but property values are relatively homogeneous.
Contrary to the regressive trends in the United States toward gay rights--exemplified by the U.
Junko Kato, Regressive Taxation and the Welfare State: Path Dependence and Policy Diffusion.
This tax is unfair because it is regressive (a tax is regressive if it takes a rising percent of income as income falls).
A transportation fuels tax would be regressive and fall unfairly on the trucking industry.
To add salt to the wound, these taxes are regressive, hitting low-wage earners particularly hard.
Unable to muster the necessary two-thirds support to hike the regressive tax in the Legislature, Gov.