# linear regression

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Related to regression line: regression analysis, correlation coefficient

## 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
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.
References in periodicals archive ?
024) (a) 3 The [beta] coefficients and SEs were obtained from the regression line of the difference between uric acid measurements (original minus reference)vs the mean of uric acid measurements.
For example, the regression lines for the Early 20th Century group lies very nearly parallel and 2 3/4 points below the regression line for the postwar period.
Under the assumptions laid out above, we know that the regression line also passes through the median of the conditional distribution F([y.
2] kernel row/ear, indicated additive type of gene action with partial dominance controlling the inheritance pattern of this trait as the regression line intercepted the Wr axis above the origin.
The 400 and 800 m SF tests were used to calculate the slope of the regression line between time and distance.
The graph of the regression line was recorded for each payer-concentration type and all nursing homes.
Thus, our goal here is to find the regression line for genuine vertical line components, as the solid regression line in Fig.
a 75th quantile regression fits a regression line through the data so that 90 percent of the observations .
23] has proposed the Six-Point Evaluation Method to calculate the LFFD of a processing unit, and further introduced the concept of LGF to indicate how well the regression line fits.
Tat is, a false decreasing trend was produced in the regression line of the natural logarithm for reproductive success (recruitment divided by egg production) against the natural logarithm for egg production in response to the observation error, and thus, the density-dependent effect detected was artificial and invalid.
The slope constant of this regression line was used as the measure of ventilatory efficiency.

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