Category: Mathematics Homework Help

sections 7.51 and 7.61 are the main problems are the other two are the previous homework that have some wrong

need the answers and step by step on how you solve it

1.The number of cars passing eastbound through the intersection of Mill and University Avenues has been tabulated by a group of civil engineering students. They have obtained the data in the adjacent table.

In this problem, you’ll be testing whether the above data reflects a Poisson distribution.

a.Derive the maximum likelihood estimator for a Poisson Distribution with parameter l.

b.Using your answer from part 1, if we assume the data does reflect a Poisson Distribution, find the estimator for l.

c.Create an appropriate histogram of the data. Use as many buckets as you think is appropriate.

d.Using the results from parts (2) and (3), and the provided data, run an appropriate test to determine whether the data comes from a Poisson Distribution.

2.Consider the data below.

a.Using Least-Squares regression, find the line of best fit that uses Hours Studied to predict a Test Score.

b.Create a scatterplot of the data and draw your line from part (a).

c.Find SS_E, SS_R, and SS_T.

d.Find the Coefficient of Determination, and give a brief interpretation of the answer.

e.Test whether both the intercept and slope parameters are 0. Use α = 0.05

f.We define regression correlation as, where XY is the covariance between Y and X.

It can be determined that, and a correlation is considered Strong if |is above .5. In other words, the sample correlation coefficient is the square root of R². Find the sample correlation.

g. Run an appropriate test to determine whether this correlation is 0. The test statistic, , has degrees of freedom n-2.

3. Two different analytical tests can be used to determine the impurity level in steel alloys. Eight specimens are tested using both procedures, and the results are shown in the following tabulation. Is there sufficient evidence to conclude that both tests give the same mean impurity level, using α = 0.01? Round numeric answer to 2 decimal places.

4.Consider the data from problem (3). If we could not assume the data came from a paired test, would you reach the same conclusion? Run an appropriate Hypothesis test with α = 0.01.

I need. sample answers. to all parts of question 2 and 5, attached it a more readable version of the. paper. IF YOU CANNOT ANSWER PLS DO NOT BID

QUESTION 2

. Do political protests affect election results? Consider the following model

Republican votei = β0 + β1T ea party protest turnouti + εi

where Republican votei is the vote for the Republican candidate for Congress in district i in 2010 and
Tea party protest turnouti measures the number of people who showed up at Tea Party protests in
district i on April 15, 2009, a day of planned protests across the United States.

(a) (10 pts) Explain why this regression may have an endogeneity problem.

(b) (10 pts) Consider local rainfall on April 15, 2009 as an instrument for Tea Party protest turnout.
Explain how to test whether the rain variable satisfies the first stage condition.

(c) (10 pts) Does the local rainfall variable satisfy the exclusion restriction? 5. A researcher has estimated a regression model of Williams student happiness as a function of two
variables: i) scoops of Likety Split ice cream (or sorbet) consumed; and ii) temperature in degrees
Farenheit. In the equation below, i indexes student and t indexes date.

QUESTION 5.

A researcher has estimated a regression model of Williams student happiness as a function of two
variables: i) scoops of Likety Split ice cream (or sorbet) consumed; and ii) temperature in degrees
Farenheit. In the equation below, i indexes student and t indexes date.

happinessit = α + βtemperaturet + γscoopsit + δtemperaturetscoopsit + εit

1. (a) (5 pts) Explain your intuition for the signs of the coe cients β and γ. (There is no right or wrong
   answer here; please just explain your thinking.)
2. (b) (5 pts) Explain your intuition for the sign of δ. Why might it be important to interact temperature
   and scoops in this model?
3. (c) (5 pts) Using partial di erentiation, obtain the formula for the marginal e ect of scoops on
   happiness. (The marginal e ect is the change in the outcome from a one-unit change in a given
   right-hand-side variable.)
4. (d) (5 pts) What is the marginal e ect of scoops when temperaturet = 0? Does your answer change
   your intuition about the sign of any of the model parameters?
5. (e) (5 pts) The average June high temperature in Williamstown is 83 degrees. What is the marginal
   e ect of scoops at this temperature?
6. (f) (10 pts) The researcher’s regression model fails to re ect one of the core results of economics:
   diminishing marginal utility. (This is a sad waste, as one of the advantages of economics relative
   to a eld like data science is that our theoretical models are sometimes a powerful guide for our
   empirical work.) How could the regression be modi ed to allow for diminishing marginal utility
   of scoops? (Hint: you may need to add terms to the regression, or substitute something else for
   the level of scoops.) Explain your choice. Again using partial di erentiation, nd the marginal
   e ect of scoops on happiness in your modi ed regression.

QUESTION 4.

Many school districts pay for new school buildings with bond issues that must be approved by majority vote in an election. Supporters of these bond issues typically argue that new buildings improve schools and thereby boost housing values. A recent economics paper used RD to test whether passage of school bonds caused housing values to rise.

1. (a)  (5 pts) What is the assignment variable (a.k.a. the running variable)? Hint: time is not the assignment variable. 
2. (b)  (10 pts) Explain how to use a basic sharp RD approach to estimate the e?ect of school bond passage on housing values. 
3. (c)  (5 pts) Provide an equation that implements the approach you described in (b). Assume you observe sale prices of individual homes. Be sure you properly subscript your variables. 

QUESTION 6

. For each of the following examples, explain: i) a simple di?erence-in-di?erences strategy; and ii) a generalized DD strategy with controls for time-invariant (cross-sectional) di?erences and time-varying forces that a?ect both treated and control units. In order to design strategy ii), it may be helpful to look at the Angrist & Pischke analysis of the minimum legal drinking age in the DD chapter. For both i) and ii), write out the estimating equation that corresponds to your strategy.

(a)  (10 pts) California implemented a ?rst-in-the-nation program of paid family leave in 2004. Did this policy increase use of maternity leave? (Unpaid leave was available before the policy change.)

(b)  (10 pts) Fourteen countries engaged in ?expansionary austerity? policies in response to the 2008 ?nancial crisis. Did these austerity policies work? For simplicity, treat austerity as a dummy variable equal to 1 for countries that engaged in it, 0 otherwise.

(c)  (10 pts) Some neighborhoods in Los Angeles changed zoning laws to make it easier to mix com- mercial and residential buildings. Did these changes reduce crime? 8. (10 pts)

Hi Bianca,

You helped me the other day on homework. I was wondering if you are interested in another homework problem to do? This is the following problem……..

Submission instructions: compute and handwrite solutions submit all work/setup which calculations

1a-c. Suppose we have a new type of MBS to accommodate the short-term investor. This new MBS security instrument contains only 5-year mortgages (in reality are rare if non-existent). ACME, a private secondary mortgage market, has pooled together ten $100,000 5-year mortgage loans. Note: To save space in writing out your work, you can scale the ten $100,000 to $100.

Calculate the duration for this MBS pool assuming annual compounding for three years at 10 percent interest which

a.is a “zero coupon”

b. is an interest-only MBS.

c. is fully amortizable over the five years.

2. Now assume that the interest-only MBS in problem 2b. is prepayable (but not defaultable). Use the option-theoretic model to price this MBS. Interest rates have a 50% chance of going up 1% each year and a 50% chance of going down 1% each year. From your results, qualitatively compare the MBS value without prepayment to the MBS value with prepayment. Note: To save space in writing out your work, you can scale the ten $100,000 to $100. – in your solution show the work/setup which includes the calculations for all steps in Slide 17’s Option Pricing Lecture

Only bid if you can guarentee correct answers please. I need the work to be right. Thank you.

Submission instructions: compute and handwrite solutions submit all work/setup which calculations

1a-c.
Suppose we have a new type of MBS to accommodate the short-term
investor. This new MBS security instrument contains only 5-year
mortgages (in reality are rare if non-existent). ACME, a private
secondary mortgage market, has pooled together ten $100,000 5-year
mortgage loans. Note: To save space in writing out your work, you can scale the ten $100,000 to $100.

Calculate the duration for this MBS pool assuming annual compounding for three years at 10 percent interest which

a.is a “zero coupon”

b. is an interest-only MBS.

c. is fully amortizable over the five years.

Now assume that the interest-only MBS in problem 2b. is prepayable (butnot defaultable). Use the option-theoretic model to price this MBS.

Interest rates have a 50% chance of going up 1% each year and a 50%

chance of going down 1% each year. From your results, qualitatively

compare the MBS value without prepayment to the MBS value with

prepayment. Note: To save space in writing out your work, you can scale the ten $100,000 to $100. – in your solution show the work/setup which includes the calculations for all steps in Slide 17’s Option Pricing

• Use this google sheet of responses 
• https://docs.google.com/spreadsheets/d/19i_nMTOlde… these two applets: Reese’s Pieces Simulation http://www.rossmanchance.com/applets/2021/oneprop/…and Normal Probability calculator http://www.rossmanchance.com/applets/2021/normcalc…to complete the PAT.

I’m working on a applied mathematics question and need an explanation to help me learn.

please explain and show proof of the last property for the Bessel functions that is highlighted in the attached screenshot. Only the last property.

Hi tutor, i need your help with these questions, the true/false questions require a short explain for each. Just do your best to explain those, and try to avoid using too many fancy math symbols. Just simple as possible. Good luck.