![In class we saw how the objective of OLS is to choose coefficients Bo and B, that minimize the squared residuals, summed over all the sample data points, ie. . Since Y Bo+BX,te, we can re-arrange the objective function to: 3 Differentiating equation (1) with respect to Bo and B, leads to the two normal equations: 2(Y-3-3x)-1) 0 i-1 We have two equations, (2) and (3), and two unknowns, Bo and B. Please solve for the two OLS estimates Bo and B, following the steps below. a) [5] Solve equation (2) for ao depending on ai. Your result for ßo should look like in the lecture notes. b) 51 Simplify equation (3). Then plug in your result for Bo into equation (3). Solve for 81 and simplify again. Hint: Your result should look like this: e) [10] Make the result for the coefficient ßi look like the one in the lecture notes, ie the covariance of X and Y divided by the variance of X. Hint: Manipulate the numerator and the denominator separately](http://img.homeworklib.com/questions/4b19f310-77f8-11ea-9fed-e37ab542f98f.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
Need help with a and b
In class we saw how the objective of OLS is...
2. Changing Units Suppose we estimate a standard OLS regression equation on data X and Y...
2. Changing Units Suppose we estimate a standard OLS regression equation on data X and Y and have the standard formulas: 3, L2=(X - X)(Y - Ý) 1=1(X; - X)2 Bo =Ỹ – BX Now suppose that Xi = 1+1.6Z; for some Zi. I.e., suppose that X; were generated by trans- forming some Zi. a) Show that: X = do +ajz for some do, ai (that you need to solve for). b) Plug in the expression from (a) into (X;...
I NEED HELP WITH PART B HOW DID HE CALCULATE TO GET THE RESULT!!!! THX (a)...
I NEED HELP WITH PART B HOW DID HE CALCULATE TO GET THE
RESULT!!!! THX
(a) Formulate mesh-current equations for the circuit Arrange the results in matrix form Ax=b. (b) Solve for is, is, and ic. (c) Use these results to find V, and ix. 10 k2 is cic 5 kg 10 k 2 M - 1 + 10 k2 22k0 100 V Solution: (a) Write the mesh-current equations by inspection. (5000 + 10000);A - 10000ip – 5000ic = -100...
3. A nonlinear system: In class we learned how to use Taylor expansion up to the 1* order term to...
3. A nonlinear system: In class we learned how to use Taylor expansion up to the 1* order term to solve a system of two non-linear equations; u(x.y)- 0 and v(x.y)-0. This method is also called Newton-Raphson method. (a) As we did in lecture, expand u and v in Taylor series up to the 1st order and obtain the iterative formulas of the method. (In the exam you should have this ready in your formula sheet). 1.2) as an initial...
Have a, b and c dont just need help with D but cant use code. b) Т — т19 Трlш т2аz — Т/2 — т2д тзаз — Т/2 — тзд Аcceler...
Have a, b and c dont just need help with D but cant use
code.
b) Т — т19 Трlш т2аz — Т/2 — т2д тзаз — Т/2 — тзд Аcceleration -2аз а1 + az с) та, - Т 3 —-т1g тгаz — Т/2 3D -т2д тзаз — Т/2 3 - тзд 0 —а1-а2—2аз _ Matrix form -1 -т191 0 0 га11 m1 —1/2|| а2 тз —1/2||аз -2 -т2д -тзд 0 0 т2 0 0 0 T 0 -1 1...
Question 2: finite square well in three dimensions 12 marks *Please note: in PHYS2111 we have...
Question 2: finite square well in three dimensions 12 marks *Please note: in PHYS2111 we have not discussed multi-dimensional systems, but please keep in mind that in order to answer this question all you need is the knowledge about a particle moving in one dimension in a finite square well. Consider a particle of mass m moving in a three-dimensional spherically symmetric square-well potential of radius a and depth V. (see also figure on pag. 3): V(r) = { S-Vo...
2. Company A's stock has a beta of BA 1.5, and Company B's stock has a beta of βΒ-2.5. Expected r...
2. Company A's stock has a beta of BA 1.5, and Company B's stock has a beta of βΒ-2.5. Expected returns on this two stocks are E [rA]-9.5 and E rB 14.5. Assume CAPM holds. At age 30, you decide to allocate ALL your financial wealth of $100k between stock A and stock B, with portfolio weights wA + wB1. You would like this portfolio to be risky such that Bp- 3 (a) Solve for wA and wB- (b) State...
126 S. Consider the large circuit shown in Figure 3, where the components have the following values: We will use...
126 S. Consider the large circuit shown in Figure 3, where the components have the following values: We will use Kirchhoff's rules to calculate the current passing through each of the nineteen circuit components. ineteen components in this circuit, there are only twelve through two components that are in series. After considering this fact, draw twelve arrows on Figure 3, indicating twelve distinct currents. Label these currents as 112 These twelve currents are unknown, and we wish to find their...
i dont need A through F i just need help on E and F. 3. Electrical...
i dont need A through F i just need help on E and F.
3. Electrical Oscillators: Consider the electric circuit shown below. D Three capacitors (two with capacitance and one with capacitance G) are charged with potentially different charges , 42, Q and connected with the polarity shown to two inductors of inductance L In this problem we will explore how to convert the physical properties of this system into a linear map and how, with a strategic choice,...
Please explain how you approach this so I can emulate your problem solving strategies on like...
Please explain how you approach this so I can emulate your
problem solving strategies on like problems
Suppose we had a large, positively charged plate in an upright (vertical) position and a point charge with positive charge +Q. In lecture, you saw that a large charged plate gives rise to an electric field which is constant in space: we will call this electric field Eplate. Let us suppose also that we had a s bl with positive charge +q and...
Extra problem 2: A lot of the math below is in Griffith's with slightly different notation. I'm a...
Extra problem 2: A lot of the math below is in Griffith's with slightly different notation. I'm asking you to do this because this is probably the single most important quantum mechanics problem ever: this is the one that started it all! In class, we found that the dimensionless radial equation for the Hydrogen atom could be reduced to A. Simplify the equation for the limit ρ → 0 and find the corresponding limiting solution. This is a second order...
2. Changing Units Suppose we estimate a standard OLS regression equation on data X and Y and have the standard formulas: 3, L2=(X - X)(Y - Ý) 1=1(X; - X)2 Bo =Ỹ – BX Now suppose that Xi = 1+1.6Z; for some Zi. I.e., suppose that X; were generated by trans- forming some Zi. a) Show that: X = do +ajz for some do, ai (that you need to solve for). b) Plug in the expression from (a) into (X;...
I NEED HELP WITH PART B HOW DID HE CALCULATE TO GET THE
RESULT!!!! THX
(a) Formulate mesh-current equations for the circuit Arrange the results in matrix form Ax=b. (b) Solve for is, is, and ic. (c) Use these results to find V, and ix. 10 k2 is cic 5 kg 10 k 2 M - 1 + 10 k2 22k0 100 V Solution: (a) Write the mesh-current equations by inspection. (5000 + 10000);A - 10000ip – 5000ic = -100...
3. A nonlinear system: In class we learned how to use Taylor expansion up to the 1* order term to solve a system of two non-linear equations; u(x.y)- 0 and v(x.y)-0. This method is also called Newton-Raphson method. (a) As we did in lecture, expand u and v in Taylor series up to the 1st order and obtain the iterative formulas of the method. (In the exam you should have this ready in your formula sheet). 1.2) as an initial...
Have a, b and c dont just need help with D but cant use
code.
b) Т — т19 Трlш т2аz — Т/2 — т2д тзаз — Т/2 — тзд Аcceleration -2аз а1 + az с) та, - Т 3 —-т1g тгаz — Т/2 3D -т2д тзаз — Т/2 3 - тзд 0 —а1-а2—2аз _ Matrix form -1 -т191 0 0 га11 m1 —1/2|| а2 тз —1/2||аз -2 -т2д -тзд 0 0 т2 0 0 0 T 0 -1 1...
Question 2: finite square well in three dimensions 12 marks *Please note: in PHYS2111 we have not discussed multi-dimensional systems, but please keep in mind that in order to answer this question all you need is the knowledge about a particle moving in one dimension in a finite square well. Consider a particle of mass m moving in a three-dimensional spherically symmetric square-well potential of radius a and depth V. (see also figure on pag. 3): V(r) = { S-Vo...
2. Company A's stock has a beta of BA 1.5, and Company B's stock has a beta of βΒ-2.5. Expected returns on this two stocks are E [rA]-9.5 and E rB 14.5. Assume CAPM holds. At age 30, you decide to allocate ALL your financial wealth of $100k between stock A and stock B, with portfolio weights wA + wB1. You would like this portfolio to be risky such that Bp- 3 (a) Solve for wA and wB- (b) State...
126 S. Consider the large circuit shown in Figure 3, where the components have the following values: We will use Kirchhoff's rules to calculate the current passing through each of the nineteen circuit components. ineteen components in this circuit, there are only twelve through two components that are in series. After considering this fact, draw twelve arrows on Figure 3, indicating twelve distinct currents. Label these currents as 112 These twelve currents are unknown, and we wish to find their...
i dont need A through F i just need help on E and F.
3. Electrical Oscillators: Consider the electric circuit shown below. D Three capacitors (two with capacitance and one with capacitance G) are charged with potentially different charges , 42, Q and connected with the polarity shown to two inductors of inductance L In this problem we will explore how to convert the physical properties of this system into a linear map and how, with a strategic choice,...
Please explain how you approach this so I can emulate your
problem solving strategies on like problems
Suppose we had a large, positively charged plate in an upright (vertical) position and a point charge with positive charge +Q. In lecture, you saw that a large charged plate gives rise to an electric field which is constant in space: we will call this electric field Eplate. Let us suppose also that we had a s bl with positive charge +q and...
Extra problem 2: A lot of the math below is in Griffith's with slightly different notation. I'm asking you to do this because this is probably the single most important quantum mechanics problem ever: this is the one that started it all! In class, we found that the dimensionless radial equation for the Hydrogen atom could be reduced to A. Simplify the equation for the limit ρ → 0 and find the corresponding limiting solution. This is a second order...
Most questions answered within 3 hours.
-
what is the distinction between the purpose of healthcare
management and the purpose od healthcare financial...
asked 4 minutes ago -
When disposable income is $1000, consumer spending is $950. The
value of the multiplier for this...
asked 13 minutes ago -
Calculate the pH of a buffer solution that is
0.116 M in
C2H5NH2
(ethylamine) and 0.403...
asked 13 minutes ago -
#include <iostream>
#include <vector>
using namespace std;
class Solution {
public:
vector<int> smallerNumbersThanCurrent(vector<int>&
nums) {
int...
asked 24 minutes ago -
1) What 8 guidelines should you follow to enable you to use
email efficiently and effectively...
asked 27 minutes ago -
What geographical obstacle seems to have taken the longest time
for modern humans to get across?...
asked 32 minutes ago -
When Maria Acosta bought a car 2 and a half
years ago, she borrowed $11,000 for...
asked 41 minutes ago -
package rectangle;
public class Rectangle {
private int height;
private int width;
public...
asked 42 minutes ago -
The Yankee's have a contract with their newly hired manager that
requires a lump sum payment...
asked 1 hour ago -
A travelling salesman sells milkshake mixing machines and on
average sells 8.9 machines per month. He...
asked 1 hour ago -
what's the danger in the fact that the market value of a stock
is based on...
asked 1 hour ago -
Describe how do you feel about the post below and
why?
Listening to the podcast reaffirmed...
asked 1 hour ago