Regression equation


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Regression equation

An equation that describes the average relationship between a dependent variable and a set of explanatory variables.

Regression Equation

In statistics, an equation showing 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. 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.
References in periodicals archive ?
The correlation coefficient between stature and right foot index of females was the only relation, which was not statistically significant as per this study, even though the regression equation derived from the right foot index of females to estimate stature was significant at 0.
Regression equation and correlation coefficients were also developed using Design Expert 7 statistical software.
As the equation shows, this total variance can be broken down into a portion that is explained by the regression equation (the regression sum of squares, RSS) and a portion that is unexplained by the regression equation (the error sum of squares, ESS).
i] value and the value obtained from the regression equation created.
The logistic regression equation model can be rewritten in terms of the log of the odds, which is called a logit (odds are already defined as the ratio of the probability of occurrence to the probability of non-occurrence) can be defined as,
The ordinary least squares regression equation of Y is obtained by the REG procedure of SAS program.
Multiple linear regression equations along with coefficient of determination between jassid population and various physical plant characters on brinjal crop.
w] levels linearly reduced 'Crioula' guava rootstock growth, evaluated trough RDP accumulation and, according to the regression equation (Figure 5A), a reduction of 12.