Distinguished carefully between the members of each of the following pairs of properties: a. Unbiasedness and Consistency b. Efficient estimator and Fully Efficient estimator c. Asymptotic efficiency and Blue d. Unbiasedness and the minimum mean squared error (MSE)
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- Define the Ordinary Least Square estimator is linear and conditionally unbiased?Your friend - an artist - has asked you to help her determine how many paintings sized 50x150cm she should paint for sale. She's deciding between one, two, three, or four paintings. Your friend sells the paintings for 300 monetary units each. She spends 8 hours on each painting (1 hour of work = 15 monetary units). Additionally, each painting incurs an extra cost of 40 monetary units (for canvas, backing, paints, brushes, sprays). Based on past data, you estimate that with a probability of 0.2, there will be no potential buyers; with a probability of 0.2, there will be one potential buyer; with a probability of 0.2, there will be two potential buyers; with a probability of 0.3, there will be three potential buyers; with a probability of 0.1, there will be four potential buyers. Assume that if there are fewer paintings produced than potential buyers, some (randomly selected) potential buyers will remain without a painting; otherwise, all potential buyers will purchase exactly one…In terms of econometric perspective, what are the assumptions or elements that you need to consider in developing the model for estimation.
- Note: Gaussian Elimination MethodAmpomah Group is a large is large Ghanaian consumer products company with origin in Nkawkaw in the Eastern Region. The company primarily specializes in Shampoo, Diapers, Baby food and Cold medicine. Ampomah Group has business operations in over 50 cities in Ghana. The Company has been following the economic trends since 2020 and has found that after the COVID-19 pandemic, low income households have been growing two times as quickly as other consumer segments. The preliminary report of the recent 2021 Population and Housing Census indicates a further extension of this trend in the next decade. Low income is defined as families with income at the poverty level or below.Ampomah Group has always had a premium product strategy. It sells its products in grocery stores, convenience stores, mass retailers, etc., but its products are always priced at the high-end of their respective categories. It has never targeted the low income segment before and doesn’t have a low income strategy, but given…DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 4. At the 5% level of significance, which variables are statistically significant?
- 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.ou have just used the capability index (Cpk) formulas to compute the two values "min [1, 1]." Which of the following is the proper interpretation of these numbers? Multiple Choice The mean of the production process has shifted to the right of the design limits. The mean of the production process has shifted to the left of the design limits. The mean has not shifted at all. The true capability index value is exactly 1. None of these choices are correct.Shrinkage estimators are unbiased. are BLUE (i.e. Best Linear Unbiased Estimator). in general have a causal interpretation. shrink the estimator.
- Does the following dataset satisfy GARP?A multiple regression analysis produced the following output from Minitab.Regression Analysis: Y versus x and xPredictor Coef SE Coef T PConstant -0.0626 0.2034 -0.31 0.762x 1.1003 0.5441 2.02 0.058x -0.8960 0.5548 -1.61 0.124S = 0.179449 R-Sq = 89.0% R-Sq(adj) = 87.8%Analysis of VarianceSource DF SS MS F PRegression 2 4.7013 2.3506 73.00 0.000ResidualError18 0.5796 0.0322Total 20 5.2809These results indicate that____________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 above