coefficient of alienation
The proportion of variance not accounted for by a relationship; computed by subtracting the squared correlation coefficient from 1
coefficient of determination
The proportion of variance accounted for by a relationship; computed by squaring the correlation coefficient
criterion variable
The variable in a relationship whose unknown scores are predicted through use of the known scores on the predictor variable
heteroscedasticity
An unequal spread of π scores around the regression line
homoscedasticity
An equal spread of Y scores around the regression line and around the values of Y’
linear regression equation
The equation that defines the straight line summarizing a linear relationship by describing the value of πβ² at each X
linear regression line
The straight line that summarizes the scatterplot of a linear relationship by, on average, passing through the center of all Y
scores
multiple correlation coefficient
The correlation that describes the relationship between multiple predictor ( π ) variables and one criterion ( π ) variable
multiple regression equation
The procedure for simultaneously using multiple predictor ( π ) variables to predict scores on one criterion ( π ) variable
predicted π score
In linear regression, the best prediction of the Y scores at a particular
X, based on the linear relationship summarized by the regression line; symbolized by Y’
predictor variable
The variable from which known scores in a relationship are used to predict unknown scores on another variable
proportion of variance accounted for
The proportion of the error in predicting scores that is eliminated when, instead of using the mean of Y, we use the relationship with the X variable to predict Y scores; the proportional improvement in predicting Y scores thus achieved
slope
A number that indicates how much a linear regression line slants and in which direction it slants; used in computing predicted Y
scores; symbolized by b
standard error of the estimate
A standard deviation indicating the amount that the actual Y
scores in a sample differ from, or are spread out around, their corresponding πβ² scores
Y intercept
The value of Y at the point where the linear regression line intercepts the Y axis; used in computing predicted Y scores; symbolized by a
