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Thorne and Giesen Book Cover
Statistics for the Behavioral Sciences, 4/e
Michael Thorne, Mississippi State University -- Mississippi State
Martin Giesen, Mississippi State University -- Mississippi State

Correlation and Regression

Definitions


correlation  the degree of relationship between variables
linear relationship  the degree to which a straight line best describes the relationship between two variables
positive correlation  a direct relationship between variables; as one variable increases, the other does also
scatterplot  a graph in which score pairs are plotted, with scores on one variable on the X axis and scores on the other variable on the Y axis
negative correlation  an inverse relationship between variables; as one variable increases, the other decreases
zero correlation  no relationship between the variables
Pearson product-moment correlation coefficient  major index used to show linear relationship between two variables; the mean of the z-score products for X and Y pairs
Pearson r  another name for the Pearson product-moment correlation coefficient
covariance  extent to which two variables vary together
regression equation  equation for the straight line that best describes the linear relationship between two variables
least squares line  line generated by the regression equation
regression coefficient  the slope of the regression line
multiple regression  the extension of regression to include more than one predictor
coefficient of determination  amount of variability in one variable explained by variability in another
Spearman rank order correlation coefficient  nonparametric alternative to the Pearson r
point biserial correlation coefficient  correlation coefficient useful when one variable is dichotomous (has only two values) and the other is continuous
phi coefficient  correlation coefficient used when both variables are dichotomous (have only two values)
general linear model  in its general form, multiple regression; called linear because it deals with "straight-line" relationships between variables