How would you control for these person-specific and time-specific effects in a panel data regression? d) Can the regression be used to estimate the effect of gender on an individual’s earnings? Explain. e) Can the regression be used to estimate the effect of the national unemployment rate on an individual’s earnings? Explain. f) In the context of the regression you suggested for part (c), explain why the regression error for a given individual might be serially correlated. g) In the context of the regression you suggested for part (c), explain why the regression error across individuals for a given point in time might be correlated.

Find Aut(Z ₁₅). Use the Fundamental Theorem of Abelian Groups to express this group as an external direct product of cyclic groups of prime power order. (Thank you. If any theorems. corollaries, definitions, etc. are related, I'd appreciate the extra knowledge. If you don't have time, I understand and thanks, anyway.

The software application development company for which you work is evaluating two different options for starting a new application development within the upcoming year. The company seeks to earn a return on each project that exceeds its cost of capital of 6.5 %. Further, the company assumes that given the current economic conditions, inflation may be expected to grow by 1% for the next year. Assume that the project takes place in Year 0 and begins earning cash flows on its application product from years 1 through 5.

Answer the following questions based on the analysis of the given cash flows for Project A versus Project B:

What is the NPV for each proposed project?

Which project would you select based on the NPV?

Alter the discount rate based on the method presented in the videos in the Financial Analysis Tools section below so that you reach an NPV of "0" (or close to "0") thereby arriving at the project IRR. Which IRR is higher?

If inflation were not a factor, would your results change?

Write down your own verbal description for a dynamical system, and write down the equations for the dynamical system. (It is fine if this system is very simple! It is also fine if the scenario is not very realistic, as long as the equations match the description!)   

Solve the given differential equation by undetermined coefficients (superposition approach)

y'' + 2y' − 3y = (x^2 + x + 1) + e^−3x

Question 1. A soil management specialist was studying the relationship between the average temperature (in ºC) and the yield in bushels per acre for a certain crop. The data is given in Table 1 below.

Table 1

1. Construct a scatter a scatter diagram for the paired data.
2. As temperature increases, does yield appear to increase, decrease, or remain the same?
3. Compute the coefficient of correlation, and interpret it.
4. Compute the coefficient of determination and interpret it.

The “standard” bagel has always been the one obtained by rotating the circle of radius 3/4 inch centered at (3/4 , 0) around the line x = −1.

Recently, a Californian chef created a bagel with the same circle but rotated around the line x = −2.

(a) Physically, what’s the difference between the two bagels?

(b) What are the volumes of the standard and Californian bagels?

Given is a population of wolves (W) and rabbits (R). R[t+1] = R[t]+ g*R[t] * (1 – R[t]/K) - sR[t]W[t] W[t+1] = (1-u)W[t] + vR[t]W[t] Where the carrying capacity of rabbits is 1 million. The growth rate of rabbits is 10% a year and s is equal to 0.00001, v is 0.0000001, and u is equal to 0.01. How many wolves and how many rabbits exist in the equilibrium?

Show that the worst-case number of entries computed by the refined dynamic programming algorithm for the 0-1 Knapsack problem is in Ω(2n). Do this by considering the instance in which W = 2n −2 and wi = 2i−1 for 1 ≤ i ≤ n.

Please answer with clear explanations!!!

Excerpt From: Richard Neapolitan. “Foundations of Algorithms.”

5. Equations of the form y’ = P(x)*y^2 + Q(x)*y + R(x) are called Riccati equations.

i) If we know a solution y = φ(x) of this equation, then any other solution

can be written in the form y(x) = φ(x)+ 1/v(x), where v(x) is an unknown

function which satisfies a certain linear equation. Using the fact that

φ and y both solve the above Riccati equation, find the differential

equation that v satisfies.

ii) Consider the equation 3y’ + y^2 +2/(x^2) = 0. Find one solution of this equation by inspection.

iii) Use the method of part(i) to find the general solution of the equation

in (ii).

Given the following utility matrix, representing the ratings, on a 1–5 star scale, of eight items, a through h, by three users A, B, and C:

After we normalize the matrix by subtracting from each nonblank entry the average value for its user, what is the cosine distance between users A and C ?

One particle travels along the path

p1(t) = <2.666 cos(6.405t + 5.149) + 4.430, 2.666 sin(6.405t + 5.149) − 3.610, 11.18t + 6.633>

and another along the path

p2(t) = <1.084t + 3.125, 3.096t − 5.332, −2.925t + 4.377>.

The paths intersect at two points, one of which is a collision. Find the point where the particles collide and the other point where the paths intersect.

Jennifer is the owner of a video game and entertainment software retail store. She is currently planning to retire in 30 years and wishes to withdraw $11,000/month for 20 years from her retirement account starting at that time. How much must she contribute each month for 30 years into a retirement account earning interest at the rate of 2%/year compounded monthly to meet her retirement goal? (Round your answer to the nearest cent.)

$________