Question: For the normal linear model, explain why the expression yi = p j=1 ????jxij + ????i with ????i N(0, ????2) is equivalent to yi

For the normal linear model, explain why the expression yi = ∑p j=1 ????jxij + ????i with ????i ∼ N(0, ????2) is equivalent to yi ∼ N(

∑p j=1 ????jxij, ????2).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Linear State Space Systems Questions!

Q:

Q9some type is wrong, can refer to the attach file. In a study of the relationship between an explanatory variable Z and a response variable Y , n independent observations are taken in the form of...

Q:

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

Q:

COVER PAGE STAT 608 Homework 05 Summer 2017 Please TYPE your name and email address below, then convert to PDF and attach as the first page of your homework upload. NAME: EMAIL: HOMEWORK NUMBER:...

Q:

I just want you to solve #1 to #6 in the file .. as well as the Problems from the text book #1 #2 and #4 (each of those has 3 question except for #4 has 4 question) ... you need to have 16 questions...

Q:

Set #2 Economics 141 Fall 2016 Due September 29 Review Exercises (not to turn in): Exercises 2.2, 2.4, 2.5, and 2.7 from Wooldridge's text. 1. Suppose you are given the following (semi-fabricated)...

Q:

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Q:

For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...

Q:

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

Q:

Set Student Name: 1. Describe the relationship between two variables that have a correlation coefficient value: a. Near -1 b. Near 0 c. Near 1 2. Data was collected where a weightlifter was asked to...

Q:

Downloaded 02/28/15 to 132.174.255.3. Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php 15.7. Exercises 475 changes and we laugh no more. While...

Q:

X = 3 Graph the equation by hand.

Q:

The following are elements of the problem or opportunity facing Beth Daniels and Athena Bancorp: a. The bank is not profitable b. Average employee engagement scores have been increasing c. Some bank...

Q:

You can block logical ports from invaders and make your computer virtually invisible to others on the Internet by installing a firewall antivirus software a packet sniffer a packet filter

Q:

The following information relates to Raneb plc and Ahmose plc. The most recent financial year of each company ended on 31 October 2023. Raneb plc The issued share capital of Raneb plc consists of...

Q:

We want a 95% confidence interval for the population proportion of students in a high school in Dallas, Texas, who can correctly find Iraq on an unlabeled globe. For a random sample of size 50, 10...

Q:

A July 2011 Gallup poll based on the responses of 1500 adults indicated that 46% of Americans approve of the job Barack Obama is doing as president. One way to summarize the findings of the poll is...

Q:

In February 2002, the Associated Press quoted a survey of 3000 British residents conducted by YouGov.com. It stated, Only 21% wanted to see the monarchy abolished, but 53% felt it should become more...

Q:

IASB's conceptual framework outline the qualitative characteristics as an important component of the conceptual framework. Required: a. Outline the two main qualitative characteristics of the...

Q:

4 You are a highly reputed financial advisor in New York and several clients came to you with the following questions: a. b. C d A $10,000 investment today will amount to $12,653 in six years. What...

Q:

Case Realica Properties ASA 1. Introduction Realica Properties ASA is a Norwegian company whose shares are traded on the Oslo Stock Exchange. The company was established in the late nineties when a...