Using the data MEAP00 01 to answer the following: (a) [ 5 points] Estimate the model math4 = β0+ β1lunch + β2log (enroll) + β3log (exppp) + u by OLS and obtain the usual standard errors and the fully robust standard errors. How do they generally compare? (b) [ 10 points] Apply the special case of the White test for heteroscedasticity. What is the value of the F test? What do you conclude? (c) [ 10 points] Obtain ˆ gias the fitted values from the regression log (ˆ u2 i) on ? math4i and ? math4i 2, where ? math4i are the OLS fitted values and the ˆ ui are the OLS residuals from the regression in part (a). Letˆhi = exp (ˆ gi) . Useˆhi to obtain the WLS estimates of the parameters in the model from part (a). Are there big differences between the WLS and OLS estimates? (d) [ 5 points] Obtain the standard errors for WLS that allow misspecification of the variance function. Do these differ much from the usual WLS standard errors?

answer: x=3 and y=4

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.