What is the difference between the population and sample regression functions? Is this a distinction without difference?
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.
Usually, we make a distinction between a population and a sample. The population is the entire set of values or attributes of interest while the sample is a subset of the population.
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.
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.
The same basic formula is used to calculate the sample or population mean. The sample mean is x bar and the population mean is mu. Add all the values in the sample or population and divide by the number of data values.
0. The expected value of the sample mean is the population mean, so the expected value of the difference is 0.