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Q: What is the difference between the population and sample regression functions?
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What is the difference between the population and sample regression functions Is this a distinction without difference?

What is the difference between the population and sample regression functions? Is this a distinction without difference?


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What is the relation between Sample and population regression function?

The sample regression function is a statistical approximation to the population regression function.


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Difference between sample regression and population regression line?

AnswerA sample is a subset of a population. Usually it is impossible to test an entire population so tests are done on a sample of that population. These samples can be selected so that they are representative of the population in which cases the sample will have weights, strata, and clusters. But usually people use random samples. So it's not that the line is different, it's that the line comes from different data. In stats we have formulas that allow a sample to represent a population, if you have the entire population (again unlikely), you wouldn't need to use this sample formulas, only the population formulas.


What is the difference between the stochastic error term and the residual?

the residual is the difference between the observed Y and the estimated regression line(Y), while the error term is the difference between the observed Y and the true regression equation (the expected value of Y). Error term is theoretical concept that can never be observed, but the residual is a real-world value that is calculated for each observation every time a regression is run. The reidual can be thought of as an estimate of the error term, and e could have been denoted as ^e.


What is the difference between simple and multiple linear regression?

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