Least squares regression analysis is a common method

Deja Vaughn

Deja Vaughn

Answered question

2022-04-15

Least squares regression analysis is a common method for modelling trip generation. What are the main assumptions of the least squares regression analysis in that context? Discuss with examples the consequences of violating two of these assumptions.

Answer & Explanation

rhyclelal80j6

rhyclelal80j6

Beginner2022-04-16Added 13 answers

Assumptions of the least square regression analysis:
if our ordinary least square regression should work properly. data should fit several assumptions.
- linear parameters should be present in the model.
- data should be selected from the population randomly.
- the expected value of residual should be zero.
- residuals have homogeneous variance.
- residual should follow a normal distribution.
- The independent variable has been measured correctly.
If any of the above assumptions are breached then
then confidence interval, forecast, built by regression model be inefficient or seriously deceiving
- Independence of variable: Independence is very serious in time series regression models
- serial correlation in the errors means that there is a chance for in the model, and extreme serial correlation is often a sydevelopemntmptom of a badly misspecified model.
- violation of normality: computation of confidence intervals and various significance tests for coefficients are all form on the assumptions of normally distributed errors.
- If the error distribution is notably non-normal, confidence intervals may be too broad or too slender.

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