Which of the following is a good indication that nonlinear terms might be necessary as control variables? When the correlation is weak between the variables. a. O b. None of these. Oc. A clear, nonlinear relationship when plotting the data of the regressors. Failure to reject the null that the variable of interest is 0. d. A clear, nonlinear relationship in the residuals. е.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 2E
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Which of the following is a good indication that nonlinear terms might be necessary as control variables?
When the correlation is weak between the variables.
None of these.
Ob.
A clear, nonlinear relationship when plotting the data of the regressors.
OC.
d.
Failure to reject the null that the variable of interest is 0.
A clear, nonlinear relationship in the residuals.
Transcribed Image Text:Which of the following is a good indication that nonlinear terms might be necessary as control variables? When the correlation is weak between the variables. None of these. Ob. A clear, nonlinear relationship when plotting the data of the regressors. OC. d. Failure to reject the null that the variable of interest is 0. A clear, nonlinear relationship in the residuals.
If two regressors are a linear combination of each other, what is the result if we run an OLS regressions with both of those regressors present?
The regressors will cause the variance of the estimates to be higher but the estimates will still be unbiased.
O a.
We cannot run OLS because we have perfect multicollinearity.
Ob.
It will ensure our residuals are linear and not plagued by nonlinearity.
OC.
It will increase the power of our estimates since the two regressors are related.
Od.
None of these.
Oe.
Transcribed Image Text:If two regressors are a linear combination of each other, what is the result if we run an OLS regressions with both of those regressors present? The regressors will cause the variance of the estimates to be higher but the estimates will still be unbiased. O a. We cannot run OLS because we have perfect multicollinearity. Ob. It will ensure our residuals are linear and not plagued by nonlinearity. OC. It will increase the power of our estimates since the two regressors are related. Od. None of these. Oe.
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