The Assumptions of Regression Are: 1)there Is a Population Regression

question 66

True/False

The assumptions of regression are: 1)there is a population regression line,2)the dependent variable is normally distributed,3)the standard deviation of the response variable remains constant as the explanatory variables increase,and 4)the errors are probabilistically independent.

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Definitions:

Sample Variances

A measure of the dispersion or variability within a sample data set, which indicates how much the sample elements differ from the sample mean.

Test Statistic

A standardized value that is calculated from sample data during a hypothesis test. It's used to determine whether to reject the null hypothesis.

Two-tail Test

A statistical test where the critical area of a distribution is two-sided and tests whether a sample is greater than or less than a certain range of values.

Sample Variances

A measure of the dispersion or variability within a sample data set, calculated as the sum of squared deviations from the mean, divided by the number of observations minus one.