Introduction to econometrics II eco 356 faculty of social sciences course guide course Developers: Dr. Adesina-Uthman



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Introduction to Econometrics ECO 356 Course Guide and Course Material





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1.2.3.5 Variance Rule
Variance rule 1: If Y = V + W, Var(Y) = Var(V) + Var(W) + 2Cov(V, W) Variance rule 2: If Y = bZ, where b is a constant, Var(Y) = Var (Z) Variance rule 3: If Y = b, where b is a constant, Var(Y) = 0. Variance rule 4: If Y = V + b, where b is a constant, Var(Y) = Var(V) since the variance of a constant is 0.
1.2.4.0 SUMMARY
While explaining the variance and covariance, the temptations to make comparison of the two concepts may not be completely overcome. The unit briefly describes variance as the measure of spread in a population while covariance is considered as a measure of variation of two random variables. Furthermore, the unit showed that variance and covariance are dependent on the magnitude of the data values and cannot be compared therefore, regulated. This means, covariance is dividing by the product of the standard deviations of the two random variables and variance is normalised into the standard deviation by taking the square root of it.
1.2.5.0 CONCLUSION


INTRODUCTION TO ECONOMETRICS II

ECO 306

NOUN
33 Variance and covariance concepts as statistical tools are discussed in this unit. How they are estimated were also explained using some basic covariance and variance rules. The existence of population covariance and sample variance estimations were briefly introduced. The introductions and discussions of these two concepts point out that variance can be considered as a special case of covariance.
1.2.6.0 TUTOR-MARKED ASSIGNMENT
1.) Ina large bureaucracy the annual salary of each, Y, is determined by the formula
Where,S is the number of years of schooling of the individual and T is the length of time, in years, of employment. X is the individuals age. Calculate Cov(X, Y), Cov(X,
S), and Cov(X, T) for the sample of five individuals shown below and verify that
( ) ( ) ( )
2.) Ina certain country the tax paid by a firm, T, is determined by the rule
Where,P is profits, and I is aninvestment, the third term being the effect of an investment incentive. S is sales. All variables are measured in $ million at annual rates. Calculate Cov(S, T), Cov(S, P), and Cov(S, I) for the sample of four firms shown below and verify that
( ) ( ) ( )

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