Suppose that b is the least squares coefficient vector in the regression of y on X and
Question:
Suppose that b is the least squares coefficient vector in the regression of y on X and that c is any other K × 1 vector. Prove that the difference in the two sums of squared residuals is
(y − Xc)' (y − Xc) − (y − Xb)' (y − Xb) = (c − b) X'X(c − b).
Prove that this difference is positive.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
Write c as b c b Then the sum of squared residuals ...View the full answer
Answered By
Munibah Munir
I've done MS specialization in finance’s have command on accounting and financial management. Forecasting and Financial Statement Analysis is basic field of my specialization. On many firms I have done real base projects in financial management field special forecasting. I have served more than 500 Clients for more than 800 business projects, and I have got a very high repute in providing highly professional and quality services.I have capability of performing extra-ordinarily well in limited time and at reasonable fee. My clients are guaranteed full satisfaction and I make things easy for them. I am capable of handling complex issues in the mentioned areas and never let my clients down.
4.60+
467+ Reviews
648+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
The regression model to be analyzed is y = X 1 1 + X 2 2 + , where X 1 and X 2 have K 1 and K 2 columns, respectively. The restriction is 2 = 0. a. Using (5-23), prove that the restricted...
-
For the model in Exercise 9, what is the probability limit of s 2 = 1/n n i=1 (y i ?? y) 2 ? Note that s 2 is the least squares estimator of the residual variance. It is also n times the...
-
The expression for the restricted coefficient vector in (5-23) may be written in the form b =[I CR]b + w, where w does not involve b. What is C? Show that the covariance matrix of the restricted...
-
In view of the information provided below provide suggestions for the efficient management of trade debtors. INFORMATION MANAGEMENT OF TRADE DEBTORS Debtor management is central to the effective cash...
-
List and describe the security and control weaknesses at Sony that are discussed in this case.
-
On December 31, 2020, KEC Environmental Corp. borrowed $100,000 by signing a four-year, 5% installment note. The note requires four equal payments of accrued interest and principal on December 31 of...
-
Probability affects decisions when the weather is forecast, when medications are selected, and even when players are selected for professional sports teams. Although intuition is often used for...
-
The estimated times and immediate predecessors for the activities in a project at Caesar Douglass retinal scanning company are given in the following table. Assume that the activity times are...
-
Marty, age 56, and Marcia, age 53, are starting to think about retirement. Marty plans to retire at age 65 and he expects to live to age 85. Marcia plans to retire at age 62 and she expects to live...
-
Obihiro Group has equipment with an original cost of 500,000,000 and related accumulated depreciation of 100,000,000 on December 31, 2019. The fair value of the equipment at December 31, 2019, is...
-
A 2.0-m-tall man is 10 m in front of a camera with a 15 mm-focal-length lens. How tall is his image on the detector?
-
An astronomer is trying to observe two distant stars. The stars are marginally resolved when she looks at them through a filter that passes green light with a wavelength near 550 nm. Which of the...
-
Apply the Western Electric Rules to the following X control chart. The warning limits are shown as dotted lines. Describe any rule violations. UCL=16 14 12 X=10 6. LCL=4 4 10 12 14 16 18 20...
-
With a $80 million advertising budget, does the name and brand identity matter? Why or why not? Explain
-
1. Which Market Principle does the Cost Approach adhere to most closely? What are the three stages required by the Value based on Cost Approach formula? 2. Definition of terms: Physical...
-
Consider the securities shown here that are trading at their respective market prices. The two securities pay risk-free cash flows over the next two years. Security A Security B Market Prices CF in...
-
What makes Cohan unique as an HR professional? How does Cohan's previous work experience influence her thinking and her approach to developing Mozilla's people initiatives? What are the specific...
-
What role does leadership play in managing a team to successful project implementation. How can an effective leader facilitate conflict resolution among team members? Explanation and examples in...
-
How would your answer to question 9 differ if you knew that expected inflation was 15 percent?
-
Problem 2. (0.6 points, 0.2 points for each question) (a) A company turns its inventory 2 times a month. Its months-of-supply = Its days-of-supply = Please show your analysis below: _months. days. (1...
-
Linear Transformations of the data, consider the least squares regression of y on K variables (with a constant) X. Consider an alternative set of regressors Z = XP, where P is a nonsingular matrix....
-
Partial Frisch and Waugh in the least squares regression of y on a constant and X, to compute the regression coefficients on X, we can first transform y to deviations from the mean y and, likewise,...
-
Partial Frisch and Waugh in the least squares regression of y on a constant and X, to compute the regression coefficients on X, we can first transform y to deviations from the mean y and, likewise,...
-
In the Heckscher-Ohlin model, as trade occurs in a capital-abundant country, increased imports will force domestic import- competing firms to decrease prices and production. Labor and capital will...
-
Why has Gatorade been so successful in the sports drink market?
-
Mohali Foods has estimated that fixed costs per month are Rs . 1 1 4 , 8 4 0 and variable costs per unit of sales is 4 2 % . For the month the business anticipates sales of Rs . 3 0 0 , 0 0 0 . What...
Study smarter with the SolutionInn App