Regression model, Mathematics

Assignment Help:

Consider the regression model  Yi = a + bXi + ui,  where the  Xi  are non-stochastic and the  ui  are independently and identically distributed with  E[ui] = 0  and  var[ui] = s2.  

(a)  What estimator of  b  would you use if you did not know  a?   What is the variance of this estimator?

(b)  What estimator of  β  would you use if you knew  (i)  a = 0,  (ii)  a = 1?  What is the variance of each of these estimators of  b?

(c)  How do the magnitudes of the variances of the estimators of  β  in  (a)  and  (b) compare?  In particular, what happens if  Σi=1,n Xi2 = 10,  Σi=1,n Xi = 9, and  n = 9?


Related Discussions:- Regression model

Constantinople byzance adrienople nicosia, What was the name of Istanbul be...

What was the name of Istanbul before its capture by the Turks? Constantinople Byzance Adrienople Nicosia

Example of integration by parts - integration techniques, Example of Integr...

Example of Integration by Parts - Integration techniques Illustration1:  Evaluate the following integral. ∫ xe 6x dx Solution : Thus, on some level, the difficulty

What is combination formula, Q. What is Combination Formula? Ans. ...

Q. What is Combination Formula? Ans. The difference between combinations and permutations is that permutations take ordering into consideration, whereas combinations do no

Making equally sized groups-prerequisites for multiplication, Making Equall...

Making Equally Sized Groups :  By the time children reach Class 1 or 2, they would have had many experiences of pairs of objects-pairs of shoes, pairs of eyes, ears, arms, legs, w

Venn diagram - set theory and calculus, Venn Diagram - Set theory and calcu...

Venn Diagram - Set theory and calculus A easy way of representing sets and relations among sets is by means of the Venn diagram. Venn diagram includes of a rectangle that pres

What is the formula to know total area square shaped quilt, Cathy is formin...

Cathy is forming a quilt out of fabric panels that are 6 in through 6 in. She needs to know the total area of her square-shaped quilt. Which formula will she use? The area of a

Formulas, all formulas of plane figures

all formulas of plane figures

How to change improper fractions to mixed/ proper fractions, how do you cha...

how do you change an improper fraction to a mixed number or whole or proper

Vectors, The angles between three non-zero and non coplanar vectors a,b and...

The angles between three non-zero and non coplanar vectors a,b and c are α between b and c and β between c and a and γ between a and b. The vector u and v are defined by u=(aX

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd