The project is adapted from the Chapter 4 Case Study dealing with North–South Airline In

January 2012, Northern Airlines merged with Southeast Airlines to create the fourth largest U.S.

carrier. The new North–South Airline inherited both an aging fleet of Boeing 727-300 aircraft

and Stephen Ruth. Stephen was a tough former Secretary of the Navy who stepped in as new

president and chairman of the board.

Stephen’s first concern in creating a financially solid company was maintenance costs. It was

commonly surmised in the airline industry that maintenance costs rise with the age of the

aircraft. He quickly noticed that historically there had been a significant difference in the

reported B727-300 maintenance costs (from ATA Form 41s) in both the airframe and the engine

areas between Northern Airlines and Southeast Airlines, with Southeast having the newer fleet.

On February 12, 2012, Peg Jones, vice president for operations and maintenance, was called into

Stephen’s office and asked to study the issue. Specifically, Stephen wanted to know whether the

average fleet age was correlated to direct airframe maintenance costs and whether there was a

relationship between average fleet age and direct engine maintenance costs. Peg was to report

back by February 26 with the answer, along with quantitative and graphical descriiptions of the

relationship.

Peg’s first step was to have her staff construct the average age of the Northern and Southeast

B727-300 fleets, by quarter, since the introduction of that aircraft to service by each airline in

late 1993 and early 1994. The average age of each fleet was calculated by first multiplying the

total number of calendar days each aircraft had been in service at the pertinent point in time by

the average daily utilization of the respective fleet to determine the total fleet hours flown. The

total fleet hours flown was then divided by the number of aircraft in service at that time, giving

the age of the “average” aircraft in the fleet.

The average utilization was found by taking the actual total fleet hours flown on September 30,

2011, from Northern and Southeast data, and dividing by the total days in service for all aircraft

at that time. The average utilization for Southeast was 8.3 hours per day, and the average

utilization for Northern was 8.7 hours per day. Because the available cost data were calculated

for each yearly period ending at the end of the first quarter, average fleet age was calculated at

the same points in time. The fleet data are shown in the following table.

Airframe cost data and engine cost data are presented below (please note, I have altered the

number presented in the text so that online solutions cannot be used) paired with fleet average

age in that table.

The project is derived from a case study located at the end of chapter 4 dealing with regression

analysis. Please note, however that some of the numbers in the project tables in the text have

been changed so students should get their complete instructions from the Project area provided in

Getting Started section of the Table of Contents. Students should use the Data Analysis add-on

pack from the standard Microsoft Excel software available in every Microsoft Office software

since 2007. The project requirements are:

1. Prepare Excel Data Analysis Regression Tables demonstrating your excellence at

determining Northern and Southeast Costs to Average Age. Besides the data tables,

copied from the project instructions, four regression models are required each on a

separate tab. STUDENTS CANNOT USE MULTIPLE REGRESSION as this is not part

of Excel software. Place each regression model with supporting data labels, line fit plots,

and other required items on a separate worksheet tab.

2. On each worksheet tab (other than the data table tab) include:

a. a copy of your data entry screen (Use Alt Print Screen to copy picture of

Regression Data Entry from Data Analysis in Excel and paste on correct

worksheet tab).

b. The regression model derived from the data tables.

c. Line Fit Plot for each Worksheet tab.

d. Labels of the data included.

e. Highlight with yellow and label the following four items on each regression

model:

i. Coefficient of determination

ii. Coefficient of correlation or covariance

iii. Slope, and

iv. Beta or intercept

3. Finally prepare a formal response, using Microsoft Word, from Peg Jones’s to Stephen

Ruth explaining your numbers and calculations. Which costs are correlated with the

average age of the aircraft? What is the slope and beta? Explain the coefficient of

determination and covariance. Explain how this information benefits each airline. Finally,

Stephen wants to know:

a. If Northern’s average age gets to 20,000 hours how much will the Airframe and

Engine cost.

b. If Southeast’s average age gets to 12,000 hours how much will the Airframe and

Engine cost.

Submit your Excel Worksheet with five tabs (data, plus 4 tabs for the regressions) to the

assignment drop box. Also include your formal response in a Microsoft Word document. Late

work will not be accepted. The Excel worksheet and Word documents must be submitted

BEFORE then end of Unit 7. This project is worth 160 points.

Note: Dates and names of airlines and individuals have been changed in this case to maintain

confidentiality. The data and issues described here are real.

Northern Airline Data (numbers have been changed from text)

Airframe Cost Engine Cost Average Age

Year per Aircraft per Aircraft (Hours)

2001 61.80 33.49 6,512

2002 54.92 38.58 8,404

2003 69.70 51.48 11,077

2004 68.90 58.72 11,717

2005 63.72 45.47 13,275

2006 84.73 50.26 15,215

2007 78.74 80.60 18,390

Southeast Airline Data (numbers have been changed from text)

Airframe Cost Engine Cost Average Age

Year Per Aircraft per Aircraft (Hours)

2001 14.29 19.86 5,107

2002 25.15 31.55 8,145

2003 32.18 40.43 7,360

2004 31.78 22.10 5,773

2005 25.34 19.69 7,150

2006 32.78 32.58 9,364

2007 35.56 37.07 8,259

# Tag: Mathematics

## 7 questions

7 questions. 7 questions. Write a script to create the following arrays .

Write a function that takes N as input and finds the account balance after N years. Use for loop.

Repeat (a) without using any loop.

3.For −π/2 ≤ x ≤ π/2, with point spacing Δx = 1/50:

Plot sin(x), cos(x), tan(x), and exp(x) in a single plot. Make sin a red line, cos a black dotted line, tan a blue line, and exp a green dashed line. Make a legend. Label your axes and give th.e figure a title. Set the y axis to be -1<y<1. (20 points)

Extra credit. Write a script that finds the x values at which cos(x)=exp(x). (hint: use find function for |cos(x)-exp(x)|<0.001) (5 points)

4- While. Write a script that takes an integer, N, from the user input. Then computes the largest integer k such that 2k<=N. For example, if N =100, then k would be 6, because 2^6=64 100.

Display/print the message showing the k value: ‘the largest integer k is ….’

Hint: initially, set k=0. In a while loop, check if 2^k is less than N, if not, break the loop. (25 points)

Choose only one question (25 points). You can get extra credit for solving two or three questions:

5. Function, switch statement. Write a function that takes two square matrices of the same size and an operator name as inputs and apply the operator on the two matrices. The operator name can be ‘ ’, ‘-‘, ‘*’, and ‘/’. For example, when the function opName input is ‘ ‘, the function calculates A B; when the function opName input is ‘-‘, the function calculates A-B.

Function C = ApplyOp(A, B, opName)

Switch opName

Case ‘ ’

C=…;

…

In your main script, create the following matrices and call your function with all operators.

A=421020109,B=340715095

Function. You work for an engineering design firm that has been contracted to evaluate the concentration of pollutants. A tall chimney releases (20 kg/s) of smoke into a steady uniform wind of speed (u( m/s)). An expression for the decay of the peak pollutant concentration C(ppm) with distance downwind is given as:

C(x,y,z)=M4πρDx.e−(y2 z2)u4Dx

Assuming that the diffusion coefficient D to be 0.01 m2/s, and the density of air to be ρ=1.225kgm3

Write a function which gets the location(x,y,z) and the wind speed, u, as inputs and calculates the pollutant concentration.

Call your function to find how pollution concentration at location (x=3000, y=0, z=10) changes with wind speed 0<u<12 m/s. Plot the pollution concentration vs wind speed.

Loops and flow control. Make function called loopTest(N) that loops through the values 1 through N and for each number n it should display ‘n is divisible by 2’, ‘n is divisible by 3’, ‘n is divisible by 2 AND 3’ or ‘n is NOT divisible by 2 or 3’. Use a for loop, the function mod or rem to figure out if a number is divisible by 2 or 3, and num2str to convert each number to a string for displaying. You can use any combination of if, else, and elseif.

done

Seen

few seconds ago

## Applied Mathematics Question

Applied Mathematics Question. Applied Mathematics Question. I need help some expert who can check my answers and if anything is wrong then fix them. The task is from Mathematical Modeling class.

Please check the attached link for questions and the attached file for solutions.

https://drive.google.com/file/d/16CcbQ9yGe_VliMd7G…

## Lease vs purchase

Lease vs purchase. Lease vs purchase. The cost to purchase the CT scan is $1,300,000 at 10% (PV), with straight line depreciation over 5 years. The trade-in value $130,000 at the end of its useful life. The maintenance expense equals $12,000 annually.

The cost to lease the equipment is $26,000 per month for a period of 60 months, which includes all maintenance costs. The tables below provide the financial overview of the purchase and lease costs.

## Statistics SPSS Report — US English Writer– Due Dec 16, 2021 — 12:00 PM EST

Statistics SPSS Report — US English Writer– Due Dec 16, 2021 — 12:00 PM EST. Statistics SPSS Report — US English Writer– Due Dec 16, 2021 — 12:00 PM EST. Statistics SPSS Report — US English Writer– Due Dec 16, 2021 — 12:00 PM EST

Hi, I need someone to follow the instructions of the attached document using SPSS statistical software and answer all the questions in an MS Word document in native U.S. English. Please do NOT bid you can not write in fluent US English or can’t meet the deadline. Thank you.

Statistics SPSS Report — US English Writer– Due Dec 16, 2021 — 12:00 PM EST

Statistics SPSS Report — US English Writer– Due Dec 16, 2021 — 12:00 PM EST

## Hello I load the paper that includes DQ 1 and DQ 2 Please read and answer the DQ 1

Hello I load the paper that includes DQ 1 and DQ 2 Please read and answer the DQ 1. Hello I load the paper that includes DQ 1 and DQ 2 Please read and answer the DQ 1. Hello

I load the paper that includes DQ 1 and DQ 2

Please read and answer the DQ 1 and DQ 2 and follow the instruction for better answering. Both DQ have links that send you to watch the video clips about them please watch them and then answer them.

Thanks

Hello I load the paper that includes DQ 1 and DQ 2 Please read and answer the DQ 1

Hello I load the paper that includes DQ 1 and DQ 2 Please read and answer the DQ 1

## Write and post a linear equation in two variables and graph the linear equation using Desmos.com (Links to an

Write and post a linear equation in two variables and graph the linear equation using Desmos.com (Links to an. Write and post a linear equation in two variables and graph the linear equation using Desmos.com (Links to an external site.).

Please view this video on how to create and embed a graph using Desmos.com:

https://screencast-o-matic.com/watch/c3hXVsVrjgf

identify two points (written as ordered pairs) on the line and verify that they are true solutions. To do this, you need to plug both values into the equation and make sure that you get a true statement.

## Have you ever watched Let’s Make a Deal? One of the games is based on a famous problem in

Have you ever watched Let’s Make a Deal? One of the games is based on a famous problem in. Have you ever watched Let’s Make a Deal? One of the games is based on a famous problem in probability. The game goes like this:

You have three doors. Under one door is a car and under two doors is a gag prize (known as a Zoink!)

You can choose one of the three doors (A, B, C).

Once you choose one of the three doors, the host (who knows where the prize is) closes one of the doors that does not contain the prize (so if you choose A, the host might close B if he/she knows the prize isn’t there).

You are prompted to keep the first door or switch to the remaining door?

Which option do you pick? How does this relate to conditional probability?

Have you ever watched Let’s Make a Deal? One of the games is based on a famous problem in

## Complete the Redistricter code to perform the following functions. Implement the MCMC process that iteratively produces candidate redistricting plans

Complete the Redistricter code to perform the following functions. Implement the MCMC process that iteratively produces candidate redistricting plans. Complete the Redistricter code to perform the following functions.

Implement the MCMC process that iteratively produces candidate redistricting plans and accepts or rejects these candidates based on the Metropolis criterion.

Run this process at least 1,000 times and record each run’s resulting plan.

Visualize the results of this simulation in a plot that displays the number of nodes in each district (3 districts => 2 dimensions required) and also a histogram of this information.

Produce a number of plan visualizations that illustrate the results

The data file which is given includes the adjacency matrix that is the connectivity of node, coordinates of node, the number of the nodes, and the population of the party.

The report should be written in complete sentences and structured with an appropriate introduction and conclusion. Its intended audience and tone should match the redistricting paper. Make sure to write in the words and do not plagiarize the other paper. The best way to do this is to write in several stages and not reference the original wording of the other paper after the first stage.

Build off of the work in Project 2 according to the following items. Write up your results in a well structured and organized report, using a similar tone and audience to the redistricting paper.

Basic geographical and demographic information about the map and initial plan.

Underlying theory of the MCMC algorithm that you’ve implemented.

Practical details of the MCMC algorithm (e.g. how many trials, how many samples, estimated runtime).

Equal population constraint implemented via Gibbs distribution: include information on how you tuned the beta parameter in order to achieve an appropriate constraint. You are permitted to allow relatively high variation in district population (even ±25% is OK with me) in order to allow your algorithm the flexibility to really explore the search space. Just make a choice for yourself and explain how you tuned the beta parameter to achieve this.

Resampling 1000 times to simulate uniform distribution after obtaining a Gibbs stationary distribution.

Analysis of electoral competitiveness of your sampled plans compared to the initial plan, visualized with a scatter plot.

Plan diagrams for notable plans in your analysis, together with commentary about what makes them notable.

Overall assessment of whether the initial plan exhibits partisan gerrymandering. If so, explain how this is observed and offer less biased alternatives. If not, explain how this is observed and exhibit some alternatives with a higher level of bias for comparison.

Important: the code needs to work in order to do this project properly. The codes need to succeed in performing the MCMC algorithm with an appropriate depth and breadth. Therefore, make sure to prototype the code by running it at small scales and identify any errors that may appear. If the code is working, it should never end prematurely with a Traceback.

## Applied Mathematics Question

Applied Mathematics Question. Your task in this assignment is to use polynomial functions to design a rollercoaster. To express your rollercoaster design you will create a piecewise function out of the polynomial functions. Your rollercoaster must meet certain criteria, and the questions below will guide you through this process. In the end, you will submit a written assignment, showing all of your calculations and ideas, to the dropbox. You can, and may find it very useful to, utilize graphing technology, such as Graph, to help you with this assignment. , BEWARE OF PLAIGRISM PLEASE

check file attached for instructions