Regression Sum Of Squares

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• Sum Of Squares — A statistical technique used in regression analysis. The sum of squares is a mathematical approach to determining the dispersion of data points. In a regression analysis, the goal is to determine how well a data series can be fitted to a function …   Investment dictionary

• Total sum of squares — The value of the total sum of squares (TSS) depends on the data being analyzed and the test that is being done.In statistical linear models, (particularly in standard regression models), the TSS is the sum of the squares of the difference of the… …   Wikipedia

• Explained sum of squares — In statistics, an explained sum of squares (ESS) is the sum of squared predicted values in a standard regression model (for example y {i}=a+bx {i}+epsilon {i}), where y {i} is the response variable, x {i} is the explanatory variable, a and b are… …   Wikipedia

• Residual sum of squares — In statistics, the residual sum of squares (RSS) is the sum of squares of residuals. It is the discrepancy between the data and our estimation model. The smaller this discrepancy is, the better the estimation will be.:RSS = sum {i=1}^n (y i f(x… …   Wikipedia

• Lack-of-fit sum of squares — In statistics, a sum of squares due to lack of fit, or more tersely a lack of fit sum of squares, is one of the components of a partition of the sum of squares in an analysis of variance, used in the numerator in an F test of the null hypothesis… …   Wikipedia

• Residual Sum Of Squares - RSS — A statistical technique used to measure the amount of variance in a data set that is not explained by the regression model. The residual sum of squares is a measure of the amount of error remaining between the regression function and the data set …   Investment dictionary

• Regression analysis — In statistics, regression analysis is a collective name for techniques for the modeling and analysis of numerical data consisting of values of a dependent variable (response variable) and of one or more independent variables (explanatory… …   Wikipedia

• Regression toward the mean — In statistics, regression toward the mean (also known as regression to the mean) is the phenomenon that if a variable is extreme on its first measurement, it will tend to be closer to the average on a second measurement, and a fact that may… …   Wikipedia

• regression — regression, regression analysis A term used originally to describe the fact that if, for example, parents and children s weights are measured, the children s weights tend to be closer to the average than are those of their parents: unusually… …   Dictionary of sociology

• regression — /ri gresh euhn/, n. 1. the act of going back to a previous place or state; return or reversion. 2. retrogradation; retrogression. 3. Biol. reversion to an earlier or less advanced state or form or to a common or general type. 4. Psychoanal. the… …   Universalium

• Regression fallacy — The regression (or regressive) fallacy is an informal fallacy. It ascribes cause where none exists. The flaw is failing to account for natural fluctuations. It is frequently a special kind of the post hoc fallacy. Explanation Things like stock… …   Wikipedia