The mean is a measure of central tendency, and the regression line is a way of p

Question

The mean is a measure of central tendency, and the regression line is a way of predicting the values of a dependent variable from the values of the independent variable. Yet they both have a common property in common that makes them useful.

A.)What is the property that regression analysis and the mean have in common? (There is more than one correct way of describing the commonality.)

B.)What is the benefit of this common property for regression analysis? For the mean as a measure of central tendency?

Explanation / Answer

A) The expected means of residuals is 0

The value of regression line satisfies at the means of independant variable and dependant variable with residual zero

B)Goodness of fit can be measured and having means as a measure of central tendancy allows some of the assumptions to hold which is required in linear regression

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