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- Consider a smoothing spline with smoothing (fine-tuning) parameter λ. As λ decreases, then in general, the bias would tend to decrease and the variance would tend to decrease. then in general, the bias would tend to increase and the variance would tend to increase. then in general, the bias would tend to decrease and the variance would tend to increase. then in general, the bias would tend to increase and the variance would tend to decrease.Explain whether the empirical evidence supports the claim that “investors are solely concerned with mean and variance”Which one of the following is the most appropriate as a definition of R^2 (R- squared) in the context that the term is usually used? Select one: a. It is the correlation between the fitted values and the residuals b. It is the proportion of the total variability of y that is explained by the model c. It is the correlation between the fitted values and the mean. d. It is the proportion of the total variability of y about its mean value that is explained by the model
- The error term in a regression equation is said to exhibit homoskedasticty if ____________. a) it has the same variance for all values of the explanatory variable(s). b) None of the other possible answers correctly finish the sentence. c) it takes the value of one given any values of the explanatory variable(s). d) it has the same value for all values of the explanatory variable(s). e) it has a zero conditional mean.With Panel Data, if we assume that the individual effects vi are not correlated with the regressors Xit (i.e. E(vi|Xit) = 0), which one of the following statements is correct: The Fixed Effects estimator is not consistent. Both the OLS and the Random Effects estimators are not consistent. The OLS estimator is not consistent, but the Random Effects estimator is consistent. The OLS and the Random Effects estimator are consistent. All of the above. None of the aboveDescribe the important characteristics of the variance of a conditional distribution of an error term in a linear regression. What are the implicationsfor OLS estimation?
- Suppose that the following binary dependent models. The model is based on the driving test of the 400 randomly selected driver’s license applicants. Y=1 if passed the test, or 0 otherwise, and X1 is years of experiences, X2 is the years of educations. Logit: P(Y=1/X) = F(0.563+ 0.040X1+ 0.057X2) What are the probabilities of passing the test for a person with 10 years of experiences and 10 years of educations in each model?14. Estimating the variance of the error term Suppose you are interested in looking at the determinants of a worker's wage, and use the following econometric model to do so: wage=β0+β1 educ+u wage=β0+β1 educ+u where educ = years of education u = error term You take a sample of 120 individuals and collect data on each person's wage and level of educational attainment. An unbiased, observable estimator of the variance of the error term (σ2?2) is σˆ2?^2What is sampling? Explain the differences between probability and nonprobability samples and identify the various typesof each
- What is an issue with the linear probability model answered Select one: a. The model is not linear in the variables b. The model can predicts probabilities that that are negative c. The model is linear in the parameters d. it leads to an R-square thatis too high1) In the method,two independent variable are assumed to have; a)Low collinearity b)High collinearity c)No collinearity d)Perfect collinearity 2) If variance of coefficient cannot be applied, we cannot conduct test for; a) Correlation b) Determination c)Significant d) Residual termPlease solve questions 15, 16 and 17. The multivariate demand function below will be needed for questions 12-18. Setting: Grapple, Inc. is a leading seller of laptop personal computers. However, they want to become a leading tablet seller, too. Your marketing department, aided by your economics staff, has estimated a function to help you in the quest for market leader in tablets. The variables are defined after the function. Qg = 10000 - 25Pg + 20Ph + 30Pr - 15dv - 35Psc - 10Pmm + 0.05Ag + 0.03A -25C + 0.1Y Qg = the number of Grapple tablet computers demanded per week. Pg = the price of each new Grapple tablet (in $). Ph = the price of each Hewpaq tablet (in $). Pr = the price of each Ronova tablet. Pdv = the price to equip a tablet with Holographic digital video (in $, this is an upgrade option that enables three-dimensional graphics on a tablet. Two-dimensional graphics is standard equipment). Psc = the price of various screen sizes (in $, a 8 inch is…