By comparing Tables Six and Nine, discuss the impacts on the estimation results if heteroskedasticity is p
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By comparing Tables Six and Nine, discuss the impacts on the estimation results if
heteroskedasticity is present.
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- The shape of the mean-variance frontier that results from the combination of a riskless and arisky asset is…..:a. Is U-shaped, tilted 90 degrees clockwise.b. Is a straight line passing from the mean-variance points of the two assets.c. Is a hyperbola.d. Consists of two straight lines, each connecting one of the two assets to a risk-freeportfolioExplain in detail the approach of Weighted Least Square used by applied economiststo address heteroskedasticity in empirical work.Samples are collected from the River X and pH values are observed. 9 different pH values arelisted in table 3.Table 3Concentrations 4.2 3.8 6.0 3.5 8.1 4.9 4.1 3.2 4.0Draw box plot and finda. Bowley’s coefficient of skewnessb. Karl Pearson’s coefficient of skewnessc. Third momentRubricStages of Process MarksImagine and Plan 2Composition 2Effort 1
- Consider a capital market with only two risky assets A and B. Their standard deviations are 1 and 2, respectively. There is no risk-free asset. When the correlation coefficient ρAB = 0, construct a portfolio, whose variance is strictly less than 1. [Hint: you may want to try the portfolio that puts more weight on the security with the lower standard deviation.]Provide a detailed and comparative account of the two tests of heteroskedasticity (theBreusch-Pagan test and the White test)This question assumes that you have access to a statistical package that computes standard errors robust to arbitrary serial correlation and heteroskedasticity for panel data methods.(i) For the pooled OLS estimates in Table 14.1, obtain the standard errors that allow for arbitrary serial correlation (in the composite errors, vit = ai + uit) and heteroskedasticity. How do the robust standard errors for educ, married, and union compare with the nonrobust ones?(ii) Now obtain the robust standard errors for the fixed effects estimates that allow arbitrary serial correlation and heteroskedasticity in the idiosyncratic errors, uit. How do these compare with the nonrobust FE standard errors?(iii) For which method, pooled OLS or FE, is adjusting the standard errors for serial correlation more important? Why?
- SOLVE FOR CRITICAL VALUE Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measures in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12 while another random sample of 16 gears from the second supplier results in x2 = 321 and s2 = 22. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength. Use a =0.04, and assume that both populations are normally distributed with equal variances.Level of significance = 0.04Which of the following can cause OLS estimators to be biased?(i) Heteroskedasticity.(ii) Omitting an important variable.(iii) A sample correlation coefficient of .95 between two independent variables both included in the model.Define the Distributed Lag Model with Additional Lags and AR(p) Errors?
- 19. An article in International Journal of Electrical Power & Energy Systems "Stochastic Optimal Load Flow Using a Combined Quasi-Newton and Conjugate Gradient Technique" (1989, Vol. 11(2), pp. 85-93) considered the problem of optimal power flow in electric power systems and included the effects of uncertain variables in the problem formulation. The method treats the system power demand as a normal random variable with 0 mean and unit variance. What is the probability that the power demand is greater than -2 and less than 2? Round your answer to three decimal places (e.g. 98.765).Q. 6 What are the Gauss–Markov conditions that should hold for estimator to be BLUE ? Differentiate between Hetroskedasticty and multi-collinearity?A machine filling 18-gram containers of a hair dye is set so that the average fill is18.2 grams with a variance of 0.49 grams. Assume that the filling of containers bythis machine is normally distributed.(a) What percentage of the containers is not likely to meet the producer’sspecification of at least 18 grams per container?(b) What is the minimum mass of the heaviest 15% of containers?