linear regression

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linear regression

a statistical procedure in which a straight line is established through a data set that best represents a relationship between two subsets or two methods.

linear regression

A statistical method defined by the formula y = mx = b which is used to "best-fit" straight lines to scattered data points of paired values Xi, Yi, where the values of Y—the ordinate or vertical line—are “observations” or values of a variable (e.g., systolic blood pressure) and the values of X—the abscissa or horizontal line—increased in a relatively nonrandom fashion (e.g., age). Linear regression is a parametric procedure for determining the relationship between one or more (multiple) continuous or categorical predictor (or independent) variables and a continuous outcome (or dependent) variable.

In the equation y = mx = b:
m = slope
b = y - intercept

linear regression

Statistics A statistical method defined by the formula y = a + bx, which is used to 'fit' straight lines to scattered data points of paired values Xi, Yi, where the values of Y–the ordinate or vertical line are observations of a variable–eg, systolic BP and the values of X–the abscissa or horizontal line ↑ in a relatively nonrandom fashion–eg, age

linear regression

A statistical method of predicting the value of one variable, given the other, in a situation in which a CORRELATION is known to be significant. The equation is y = a + bx in which x and y are, respectively, the independent and dependent variables and a and b are constants. This is an equation for a straight line.


in a line.

linear assessment
a method of expressing an assessment result as a score out of a possible perfect score of 10, or some other number. Used in body condition scoring, showring judging of conformation.
linear dodecyl benzene sulfonic acid teat dip
linear energy transfer
expresses the quality of electronic radiation. It is concerned with the spatial distributions of energy transfers which occur in the tracks of particles as they penetrate matter.
linear program
a management program used to determine the best mix of ingredients or services to be used in a particular situation to maintain the highest level of productivity or profitability or other similar parameter.
linear regression
statistical method used to study the relationship between independent and dependent variables when the dependent variable consists of continuous data.
linear score
for somatic cell counts in milk (SCCs) convert SCC logarithmically from cells per milliliter to a linear score from 0-9. The linear score has a straight line, inverse relationship with milk yield. An increase of one in the linear score is associated with a 400-pound decrease in lactation milk yield or a 1.5 pound drop in daily yield.


1. return to a former or earlier state.
2. subsidence of clinical signs or of a disease process.
3. in biology, the tendency in successive generations toward the mean.
4. the relationship between pairs of random variables; the mean of one variable and its location is influenced by another variable.

regression analysis
see regression analysis.
regression coefficient
is the factor which determines the slope of a regression line; the greater the coefficient the steeper the line.
curvilinear regression
when the relationship between two variables is not linear.
linear regression
the relationship between two variables is a straight line.
References in periodicals archive ?
Table 4 shows the multiple linear regression equations for the simulation of wheat biomass yield under the N supply conditions in the cultivation systems.
The proposed algorithm (Algorithm 6 in this paper) was found to provide an appropriate contraction mapping to be used for maximum likelihood estimation of the multiple linear regression parameters in the generalized Gauss-Laplace distribution assumption of the measurement's errors.
The multiple linear regression results supported hypotheses 1, 2, and 3 for depression, but not for anxiety.
The levels of Zn gathered from laboratory analysis and spectral data obtained from the plants addressed in this study were evaluated with the Minitab 15 statistical software package via the stepwise multiple linear regression analysis method which is a multiple comparison test.
1: Multiple linear regression summary Model R R Square Adjusted Std.
This was confirmed by our correlation and multiple linear regression models in which the female gender strongly predicted WHR and WC in a positive direction.
Various multiple linear regressions were analyzed to predict the best fitted regression equation for Beetal goat for estimating body weight at 13-18 months of age.
In a multiple linear regression analysis, comorbidity, PD self-management, level of activity in daily living, and age were independently associated with the number of complications ([R.
Descriptive statistics (mean [+ or -] SD) were calculated and the significance of associations between physical fitness measures and the job performance measures were determined using Pearson product moment correlation coefficients and multiple linear regression (Stepwise method).
Through multiple linear regression analysis, danshensu was found to be the most significant marker in the antioxidant and vasodilation effects of Danshen water-extract, while tanshinone IIA as the marker on hydrogen peroxide-induced apoptosis in rat heart H9c2 cells.
Specifically, it examines how different racial categorizations changes group characteristics, mean levels of discrimination, and the strength of predictor variables in multiple linear regression analyses.

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