Feb 20, 2011

Regresi Analysis

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A. UNDERSTANDING REGRESSION

In general there are two kinds of relationship between two or more variables, namely the form of the relationship and the relationship. To determine the form of the relationshipused regression analysis. For the relationship can be identified by correlation analysis.Regression analysis was used to examine the relationship between two variables ormore, especially to trace the pattern of relationships that model is not known perfectly, orto find out how the variation of several independent variables affect the dependentvariable in a complex phenomenon. If X1, X2, ..., Xi are independent variables and Y is the dependent variable, then there is the functional relationship between X and Y, where the variation of X will be accompanied also by the variation of Y. The mathematicalrelationships above can be described as follows: Y = f (X1, X2, ..., Xi, e), where: Y is thedependent variable, X is the independent variable and e is the residual variable(disturbance term).
Related to this regression analysis, there are at least four four activities that can beimplemented in the regression analysis, including: (1) entered into estimates ofparameters based on empirical data, (2) examine how much variation of the dependentvariable can be explained by variations in the independent variables, (3) test whetherthe estimated parameters were significant or not, and (4) to see whether the sign andmagnitude of the estimated parameters match the theory (M. Nazir, 1983).

B. SIMPLE REGRESSION COEFFICIENT

Simple regression, aims to study the relationship between two variables. Simpleregression model is, where, is the dependent variable (bound), X is the independent variable, a is an estimator for intersap (α), b is an estimator for the regressioncoefficient (b), and α, b are parameters whose values are unknown so allegedly usingstatistical sampling.

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