Under assumption MLR.1 - MLR.5, derive the variance of the OLS
estimator bj in the multiple...
Under assumption MLR.1 - MLR.5, derive the variance of the OLS
estimator bj in the multiple regression model. Express the variance
in terms of the R-squared from the regression of xj on the other
explanatory variables.
The Gauss Markov Theorem says
a) Under the LS assumptions, the OLS estimator has the smallest
variance among all linear unbiased estimators
b) Under the LS assumptions, the OLS estimator has the smallest
variance among all linear estimators
c) The OLS estimator has the smallest variance among all linear
unbiased estimators
d) Under the LS assumptions, the OLS estimator is the most
consistent estimator of all linear unbiased estimators
. Under the Gauss-Markov assumptions, we know that the Ordinary
Least Squares (OLS) estimator βˆ is unbiased, efficient, and
consistent. However, if the assumption that E[ϵ 2 i |X] = σ 2 i = σ
2 is violated while the assumption of E[ϵi , ϵj ] = 0 , ∀i ̸= j
holds, that the least squares estimator is unbiased but is no
longer efficient. The Generalized Least Squares (GLS) estimator, in
this case, may be unbiased, consistent, and efficient...
1. If the normality assumption is met, but the equal variance
assumption is not met, what alternative analysis could be used in
place of the traditional F test for a one-way ANOVA design?
a. Kruskal-Wallis test. b. Welch test. c. Independent t-test. d.
Friedman test
2. Which one of the following would be considered a
non-parametric alternative to a one-way between subjects ANOVA?
a. Kruskal-Wallis test. b. Welch test. c.
Independent t-test. d. Friedman test
3. As you know, most...
If product that is 8.34% nonconforming is accepted 5% of time
under assumption of the Poisson distribution, determine the
sampling plan for the following conditions.
a) acceptance number c=0; (10%)
b) acceptance number c=1 (hint: use the Poisson table);
(10%)
5. What is the minimum variance portfolio? Derive its formula.
Explain the efficient vs the non-efficient portions of the
Portfolio Opportunity Set (POS).
considering the following production function Y=AK^.5L^.5 where A
is a constant representing tech. under the assumption of
neoclassical model, if there is a rise in A with no changes to
supply, labor, or captial, this will make the real wage (not
change, rise, or fall) and real rental rate of capitlal (not
change, rise, or fall)
1. Identify the situation below that will result in a favorable
variance.
Multiple Choice
Actual revenue is higher than budgeted revenue.
Actual revenue is lower than budgeted revenue.
Actual income is lower than expected income.
Actual costs are higher than budgeted costs.
Actual expenses are higher than budgeted expenses.
2 Hassock Corp. produces woven wall hangings. It takes 2 hours
of direct labor to produce a single wall hanging. Hassock’s
standard labor cost is $12 per hour. During August, Hassock...
1. How is the variance affected when you add a predictor to a
multiple regression model?
2. Why does multiple-regression modeling require subject-matter
expertise?
3. Can overfitting occur in a model with a high coefficient of
determination value? What would that mean for that model?
4. What is the process of assessing a model’s capacity to make
accurate predictions?