Question

State the four conditions required for making regression inferences.

Short answer

1. Independent observations

2. Equal standard deviations

3. Normal populations

4. Population regression line.

Step-by-step solution

Given information

The four conditions required for making regression inferences

Explanation

The following are the requirements for making regression inferences:

1. Independent observations: The responses to variable observations are unrelated to one another.

2. Equal standard deviations: The conditional standard deviations of the response variable are the same for all values of the predictor variable.

3. Normal populations: For each value of the predictor variable, the conditional distribution of the responder variable is a normal distribution.

4. Population regression line: There are constants ${\beta }_0$and ${\beta }_1$such that the conditional mean of the response variables is ${\beta }_0+{\beta }_{1}x$for each value of x for the predictor variable.