Suppose we have a stochastic model Y i = x i + i Where the is
Question:
Suppose we have a stochastic model
Yi = βxi + εi
Where the εi’s are independent with mean 0 and variance σ2xi. Show that the weighted least squares estimator of β is ˆβ = y̅/¯x. Is the standard error for ˆβ that comes from weighted least squares the same as that for ˆB in (4.10)?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 61% (18 reviews)
From linear models theory if Y X with E 0 and Cov 2 A the...View the full answer
Answered By
Deborah Joseph
My experience has a tutor has helped me with learning and relearning. You learn everyday actually and there are changes that are made to the curriculum every time so being a tutor has helped in keeping me updated about the present curriculum and all.
I have also been able to help over 100 students achieve better grades particularly in the categories of Math and Biology both in their internal examinations and external examinations.
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Statistics questions
-
Suppose we have a stochastic model Yi = xi + i Where the is are independent with mean 0 and variance 2xi. Show that the weighted least squares estimator of is = /x. Is the standard error for that...
-
Suppose we modify the production model from Section 1.3 to obtain the following mathematical model: Max 10x s.t. ax 40 x 0 Where a is the number of hours required for each unit produced. With a =...
-
Suppose we have a sample of size 6 from a population with probability density function (pdf) f(x) = (1/y) e x/, x > 0, y > 0. We wish to test H0:y = 1 P versus Ha: y > 1. Let the rejection region be...
-
Thor Bhd. (Thor) is a listed company in Malaysia, specializes in selling batteries. At 31 December 2021, Thor holds four distinct types of batteries in its warehouse. The accountant of Thor provided...
-
Briefly describe the two types of standards on which a standard cost system relies.
-
A hollow plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.650 m3 and the tension in the cord is 900 N. (a)...
-
The production manager must determine the processing sequence for seven jobs through the grinding and then deburring departments. The same sequence will be followed in both departments. The managers...
-
Your company, Acme Widgets, sells its widgets worldwide. Acme has a contract for 250,000 widgets to be shipped to the Czech Republic. The price stated in the offer and acceptance is $1 per widget,...
-
Old MathJax webview Shauna Coleman is single. She is employed as an architectural designer for Streamline Design (SD). Shauna wanted to determine her taxable income for this year (2021). She...
-
Last month a local government collected property taxes, collected gas taxes reserved for highway expansion, and received a monetary contribution from an estate. The contribution is to be held intact,...
-
Foresters want to estimate the average age of trees in a stand. Determining age is cumbersome, because one needs to count the tree rings on a core taken from the tree. In general, though, the older...
-
The quantity B used in ratio estimation is sometimes called the ratio-of-means estimator. An alternative that has been proposed is the mean of ratios estimator: Let b i = y i /x i for unit i; then...
-
Use a signaling argument to explain why students return to school to pursue an MBA and why the market rewards individuals who obtain an MBA with higher salaries.
-
Small town Diners has a policy of treating dividends as a passive residual. It forecasts that net earnings after taxes in the coming year will be $500,000. The firm has earned the same $500,000 for...
-
Part 1-Chi-Square Goodness-of-Fit Tests A health psychologist was interested in women's workout preferences. Of the 56 participants surveyed, 22 preferred running, 8 preferred swimming, 15 preferred...
-
The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,070,000, and it would cost another $21,000 to install it. The machine falls...
-
Problem 1. (10 points) Consider the space X = R22 and the map L XX defined as traceX -traceX L:X X = X 0 0 1. Show that L is a linear map; 2. Find the matrix representation M = mat L in the canonical...
-
Suppose that the exchange rate is 1.25 = 1.00. Options (calls and puts) are available on the Philadelphia exchangein units of10,000 with strike prices of $1.60/1.00. Options (calls and puts) are...
-
A Periodic: Assume that Marvel uses a periodic FIFO inventory system. What is the dollar value of its ending inventory? a. $2,940 d. $2,852 b. $2,685 e. $2,705 c. $2,625 Use the following information...
-
Discuss the information available from the following techniques in the analysis of inorganic pigments used in antique oil paintings: (i) Powder X-ray diffraction, (ii) Infrared and Raman...
-
Which is the least risky of stocks, bonds, mutual funds, CDs?
-
According to U.S. Census Bureau figures, 35.3% of all Americans are in the 0-24 age bracket, 14.2% are in the 25-34 age bracket 16.0% are in the 35-44 age bracket, and 34.5 are in the 45 and older...
-
A retail study by Deloitte revealed that 54% of adults surveyed believed that plastic, noncompostable shopping bags should be banned. Suppose 41% of adults regularly recycle aluminum cans and believe...
-
Determine the mean, the variance, and the standard deviation of the following discrete distribution. x P(x) 1 ...........238 2 ...........290 3 ...........177 4 ...........158 5 ...........137
-
Your company BMG Inc. has to liquidate some equipment that is being replaced. The originally cost of the equipment is $120,000. The firm has deprecated 65% of the original cost. The salvage value of...
-
1. What are the steps that the company has to do in time of merger transaction? And What are the obstacle that may lead to merger failure? 2.What are the Exceptions to not to consolidate the...
-
Problem 12-22 Net Present Value Analysis [LO12-2] The Sweetwater Candy Company would like to buy a new machine that would automatically "dip" chocolates. The dipping operation currently is done...
Study smarter with the SolutionInn App