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A 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.

Q: Difference between sample regression and population regression line?

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

Sampling Error

population is the number of citizens living in a defined geographical area. Sample is a number taken from the population being the sample to research for a topic about the populations' behavior or habit, etc.

1. PRF is based on population data as a whole, SRF is based on Sample data 2. We can draw only one PRF line from a given population. But we can Draw one SRF for one sample from that population. 3. PRF may exist only in our conception and imagination. 4. PRF curve or line is the locus of the conditional mean/ expectation of the independent variable Y for the fixed variable X in a sample data. SRF shows the estimated relation between dependent variable Y and explanatory variable X in a sample.

standard error

Related questions

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

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

A sample of a population is a subset of the population. The average of the population is a statistical measure for some variable of the population.

A sample is any subset of the total population. A representative sample is one that is chosen so that its characteristics are similar to that of the population.

Zero

A population includes all members of a defined group. A sample, on the other hand, is just a part of the population.

You calculate the actual sample mean, and from that number, you then estimate the probable mean (or the range) of the population from which that sample was drawn.

the sampled population includes all people whom are included in the sample, the targeted population is what the statistics practitioner is targeting or questioning

Sampling bias.

Sampling Error

population is the number of citizens living in a defined geographical area. Sample is a number taken from the population being the sample to research for a topic about the populations' behavior or habit, etc.

A Census is the type of survey for a complete population. A Sample Survey is only a portion of the population which is used to make predictions on the representation of the actual population.