# linear regression

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Related to Line fitting: Least squares fitting

## 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.

## linear

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**

see 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.

## regression

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.

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