SER and R2 are “measures of fit” for a regression. Explain how SER measures the fit of a regression. What are the units of SER? Explain how R2 measures the fit of a regression. What are the units of R2?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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SER and R2 are “measures of fit” for a regression. Explain how SER measures the fit of a regression. What are the units of SER? Explain how R2 measures the fit of a regression. What are the units of R2?
The SER (Standard error of the regression):
- The SER measures the magnitude of the residuals of a regression in the units of the dependent variable.
- The SER provides the absolute measure of the of the distance that the data falls from the estimated regression line.
- It is calculated using;
The units of SER is same as that of the dependent variable.
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