137k views
0 votes
A researcher obtained the following regression results

Se (10.3) (13.2) (0.043)
Where Y is diesel consumption in Machakos County in litres, is urban highways in the county, is diesel tax rate in the county and is diesel motor vehicle registrations in the county in thousands.
(i) Is there multicollinearity in the regression? How do you know?
(ii) Explain how in practice the researcher can test for multicollinearity

1 Answer

4 votes

Final answer:

Multicollinearity in regression analysis is when predictor variables are highly correlated, making estimates unreliable. Without specific statistics like VIF provided, we can't definitively identify multicollinearity, but researchers typically use VIF, correlation matrices, and condition indices to test for it.

Step-by-step explanation:

The question concerns the topic of regression analysis and multicollinearity in a regression model. Multicollinearity refers to a situation in regression analysis where two or more predictor variables are highly correlated, meaning that one can be linearly predicted from the others with a substantial degree of accuracy. This can lead to unreliable and unstable estimates of regression coefficients. To determine if multicollinearity is present, we cannot say definitively from the information provided, as we would need additional statistics such as variance inflation factors (VIF) or the condition index. However, in practice, a researcher can test for multicollinearity by checking the correlation matrix for high correlations between independent variables, calculating VIFs for each predictor, or examining the condition index obtained from a singular value decomposition of the predictor matrix.

User Svet Angelov
by
7.1k points