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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 ?
However, spontaneous regression of primary RCC is extremely rare, and only 4 cases have been reported to date.
She travels around the world holding regression workshops and also conducts private regression sessions.
Due to the large audience that this opening session attracted, the conclusion could be drawn that regression is a hot topic and is indeed of popular demand among modelers.
Patient wait times may have unequal variation due to complex interactions between variables or unobserved exogenous noises that are not accounted for in the regression model.
Merkel cell carcinoma of the eyelid: review of the literature and report of patients with Merkel cell carcinoma showing spontaneous regression.
Two stability parameters were calculated based on (a) the regression coefficient, a regression performance of each genotype in different locations calculating means over all the genotypes.
In order to investigate the relationship between tree cover variables in forest ecology studies, statistical regression method are used.
Generally, the most available source of building energy data for creating regression profiles is monthly utility billing data.
See the sidebar "Accessing Regression Tools in Excel 2007" for directions.
By optimising the regression for various sizes of regression set, a final model was chosen based on the three variables: press and television advertising; air temperature; and disposable income.
After logarithmic transformation the nonlinear form of Equation 1 was converted into a linear form, which then was used to develop regression model.
Regression analysis involves choosing the basic form of the equation, with a number of unknown coefficients, called regression coefficients.