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What is the difference between the following two regression equations?
Choose the correct answer below.
A. The first equation is for sample data; the second equation is for a population.

Ask by Wood Ford. in the United States
Nov 23,2024

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A. The first equation is for sample data; the second equation is for a population.

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The Deep Dive

The difference between the two regression equations lies in what they represent. The equation typically represents the fitted line for sample data, where is the intercept and is the slope derived from a sample. This equation is an estimate of the relationship within the sample population.
On the other hand, when discussing a full population, one would use the true parameters and instead of the sample estimates, frequently denoted as . The transition from sample to population indicates a shift from estimation to actual parameters, reflecting a broader context.

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