Question: Justify whether the following statements are true or false. Explain: (i) In a multiple linear regression, the linear relationship among the regressors in the sample

Justify whether the following statements are true or false. Explain:

(i) In a multiple linear regression, the linear relationship among the regressors in the sample implies that the effects of change in an individual regressor cannot be obtained separately.

(ii) The OLS estimates will be biased.

(iii) It is not possible for us to decide whether the multicollinearity problem is present or not in a data set by looking at the correlations between the explanatory variables.
(iv) The OLS estimators have high variances; this is evidence of multicollinearity.
(v) The small value of the t-test for testing the null hypothesis 0 i H : ???? = 0 (i =1, 2,...,k) implies the presence of multicollinearity.

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