Question

Difference between srf and prf

Answer 1

Answer:

Population regression function(PRF) is the locus of the conditional mean of variable Y (dependent variable) for the fixed variable X (independent variable). Sample regression function(SRF) shows the estimated relation between explanatory or independent variable X and dependent variable Y.

Explanation:

Population regression function (PRF) is the locus of the conditional mean of variable Y (dependent variable) for the fixed variable X (independent variable).

Sample regression function (SRF) shows the estimated relation between explanatory or independent variable X and dependent variable Y.

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Answer 2

Answer:

                 Difference between SRF and PRF

• The location of the conditional mean of variable Y  for the constant variable X is the population regression function (PRF)  

• The estimated relationship between independent or explanatory variable X and dependent variable Y is shown by the sample regression function (SRF).

• The sample regression function, which is based solely on data from a sample of the population, is an equation that depicts the relationship between the Y variable and the X variable(s).

• A population regression function is a linear function that postulates an explanatory link between a population-level dependent variable and a set of independent variables. The regression model includes a stochastic error term as well.

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