# Customer Loyalty

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REGRESSION In statistics, regression analysis is a statistical process for estimating the relationships among variables. It includes many techniques for modeling and analyzing several variables, when the focus is on the relationship between a dependent variable and one or more independent variables. More specifically, regression analysis helps one understand how the typical value of the dependent variable (or 'criterion variable') changes when any one of the independent variables is varied, while the other independent variables are held fixed. SIMPLE LINEAR REGRESSION In simple linear regression, we predict scores on one variable from the scores on a second variable. The variable we are predicting is called the criterion…show more content…
The coefficient of determination (denoted by R2) is a key output of regression analysis. It is interpreted as the proportion of the variance in the dependent variable that is predictable from the independent variable. Range from 0 to 1. For example, if r = 0.922, then r 2 = 0.850, which means that 85% of the total variation in y can be explained by the linear relationship between x and y (as described by the regression equation). The other 15% of the total variation in y remains unexplained. Overall Model Fit Dependent variable: Science Score Parameter Estimates math - The coefficient for math is .389. So for every unit increase in math, a 0.39 unit increase in science is predicted, holding all other variables constant. female - For every unit increase in female, we expect a -2.010 unit decrease in the science score, holding all other variables constant. Because femaleis coded 0/1 (0=male, 1=female), the interpretation is easy: for females, the predicted science score would be 2 points lower than for males. socst - The coefficient for socst is .050. So for every unit increase in socst, we expect an approximately .05 point increase in the science score, holding all other variables constant. read - The coefficient for read is .335. So for every unit increase in read, we expect a .34 point increase in the science score. SEE The standard