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Show that b ^β0 is an unbiased estimator of β0. (Hint: Use the fact that ^β1 is
unbiased.
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- Consider the OLS estimator 3;. Under the Gauss-Markov assumptions, O the estimator is the best linear unbiased estimator. O the estimator is asymptotically normally distributed. O the estimator has the properties stated in the other three possible answers. O the estimator is consistent.Express covariance between two variables for a given third variable in terms of conditional covariances.If A is the dependent variable and B is the independent variable, then a change in A results in a change in B. 1) True 2) False
- If a change in variable X causes a change in variable Y, variable Xis called the Select one: a. independent variable b. dependent variable c. explanatory variable d. B and CWhat is the difference between an unbiased estimator and a consistentestimator?Consider the following summary statistics of the variables x, y and z var(x) = 2.4, var(y)=3.2, var(z) =1.1 cov(x,y) = 3.1, cov(x,z) = 4.2, cov(y,z) = 8 What is the instrumental variable (IV) estimator of the effect of x on y when you use the variable z as an instrumental variable?
- Setting: U.S. Auto manufacturers are trying to develop a multivariate function with which to estimate the demand for their gas-electric hybrid compact cars. Here is one that Motors General developed for its Jolt: Qj = 65000 – 20Pj + 20Pf + 35Pt – 5Pb + 0.2Tc + 0.05Y + 10Mg + 0.04A Where Qj = the number of Jolts demanded per week. Pj = the price of each new Jolt (in $). Pf = the price of each new Ford gas-electric hybrid (in $). Pt = the price of each new Toyota gas-electric hybrid (in $). Pb = the price of replacement batteries for the Jolt (in $). Tc = the amount of tax credit incentive offered with the purchase of a new hybrid (in $). Y = average weekly disposable income of a typical Jolt purchaser (in $). Mg = the miles per gallon of gas rating of the Jolt (in miles per gallon). A = average weekly Jolt advertising expenditure (in $). 6 If all variables remain unchanged except that the price of the Toyota hybrid (Pt) decreases by $500, then the demand for Jolts will: 7…What is the variable that adjusts the effect of the independent variable on the dependent variable (one word)The value of dependent variable is determined by the value of the independent variable. 1) True 2) False Question 2 ) Listen If A is the dependent variable and B is the independent variable, then a change in A results in a change in B. 1) True 2) False
- n one sentence, what does it mean for an estimator to be consistent? (Hint: you do not need to state the formal definition of consistency)True/ false (6-8) 6. Two variables that have a positive correlation move in the same direction. True/ False 7. The concept of slope can be used to answer questions about how much one variable responds to changes in another variable. True/ False 8. The slope of a line is equal to the change in the x-variable divided by the change in the y-variable. Trie/ False hp & 7 8 9. 5.With respect to a given product, describe the connection that exists between equalibrium/disequalibrium and prediction. cite an unique example
