Question: Please verify the following two facts, which will be used to develop inference in regression models: (i) If Y is a normally distributed random variable,

Please verify the following two facts, which will be used to develop inference in regression models: (i) If Y is a normally distributed random variable, then Y' = a + cy (a and c are constants) is normally distributed with mean a + cE(Y ) and variance c'Var(Y). (ii) If Y1, ..., Yn are independent normal random variables, the linear com- bination al Y1+ . . . + anYn is normally distributed, with mean E a; E(Y:) and variance Caz Var(Yi)

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 Mathematics Questions!

please complete in excel and send answer to my email janielmcewan17@gmail.com starting at Part A.... Need ASAP GROUP PROJECT FOR MGMT2012 SEMESTER 1, 2021/2022 The completed project must be uploaded...

The following information relates to Questions 37-45 Brad Varden, a junior analyst at an actively managed mutual fund, is responsible for research on a subset of the 500 large-cap equities the fund...

1. Statistical inference: a. refers to the process of drawing inferences about the sample based on the characteristics of the population b. is the same as Data and Statistics c. is the process of...

Apply Spreadsheet Design Principles (show formulas, color code, label, isolate variables, add comments, etc.) as you complete each template! Use analytic solver to complete each spreadsheet in...

Econometrics / Empirical Analysis in Finance 1. Comparing results 2. Computing with 95% confidence level 3. Combining data 4. Market returns All questions int he images below please! Campbell, Lo,...

(2 points) Let Y represent a random variable with the following probability distribution. P(Y = 1) = 0.15 P(Y = 2) = 0.10 P(Y = 3) = 0.50 P(Y = 4) = 0.40 What is E(Y)? 0 4.2 0 3.45 0 3.3 O 1.2 (2...

(2 points) Let Y represent a. madam variable with the following probability distribution. P(Y = 1) = 0.15 P(Y = 2) = 0.10 P(Y = 3) = 0.50 Par = 4) = 0.40 What is 50*)? 0 4.2 0 3.45 O 3.3 0 1.2 (2...

a.) Theresultsof the simple linear regression are provided below: Estimated Bank's charges = -700 + 20Sales revenue. Interpret the estimated intercept Select one: a.All companies will be charged at...

MATH 106 Week 8 LEO Discussion Topic Exercises Version: 2015-1 Linear Programming 1. Graphically solve the following: Maximize , subject to: f 6x y 2. x y 8 3x y 0 y 0 Solve the given linear...

Good Morning Statistical Methods expert, I would like for you to manufacture a spreadsheet model for the following scenario c) Based on the replications for both cases - when demand is normal and...

An employee of JHT Holdings, Inc., a trucking company, was responsible for resolving roadway accident claims under $25,000. The employee created fake accident claims and wrote settlement checks of...

Discuss Materialism as the concept of Reality in metaphysics with example.

#05/A Consider that youre working with a hospitality, travel or tourism business which determines that conditions warrant a change in the amount target markets are charged for the experiences...

Are there good reasons for groups not to assimilate to U.S. culture? Explain.

Jesse Pagel is an overseas manager for a U.S. clothing company in Hong Kong. In a recent meeting of his employees, Jeff explained and demonstrated a new online application that the employees should...

What groups do you think are the most assimilated in the United States? Why?