State with reasons whether the following statements are true or false:
a. Despite perfect multicollinearity, OLS estimators are best linear unbiased estimators (BLUE).
b. In cases of high multicollinearity, it is not possible to assess the individual significance of one or more partial regression coefficients.
c. If an auxiliary regression shows that a particular Rj is high, there is definite evidence of high collinearity.
d. High pair wise correlations do not necessarily suggest that there is high multicollinearity.
e. Multicollinearity is harmless if the objective of the analysis is prediction only.