Data Analysis

Categorical and Numerical

I want you to write a two-page report about the Survey you have been working on the past two weeks.

Essay is on the question you chose to investigate and how the other two questions relate to the topic (main question).

1. I want you to discuss the major question you’re investigating.

Have you changed your major?

2. I want you to give a description of the two questions that you are discussing one categorical and one numerical.

(Categorical) What classification were you when you first changed your major? 1. Freshman 2. Sophomore 3. Junior 4. Senior

(Numerical) How old were you when you first changed your major?

3. I want you to give me a table of the responses

I’m thinking this is Analyzing the two questions.

4. You should have at least two different displays for your data, at least one different way for each question.

I did complete both graphs for the 2 questions.

5. Give me a recommendation (response) to your question.

(students who are younger tend to change their degree plan more than older students, they are more likely to change it in the first two years)

6. I then want you to explain how these results inform your opinion of the investigation. Example: As a result, using my data, I think I could answer the question we are trying to investigate ( Have you changed your major?)

I have attached the graphs. The bar graph is to the Categorial question and the Boxplot graph is to Numerical. I also attached the survey Q4 is the Categorical question and Q8 is the Numerical question. I forgot to note on the boxplot graph A1- A37 is the Categorical question and B1-B37 is Numerical.

Surveying

Elevation to top of fire hydrant is 502.64′

what is the vertical distance between the sidewalk (in front of the storefront entrance doors) and top of coping at the corner?

Provide horizontal distance between the points located at the building corners with this symbol on it, you are to use the total station to figure angle and distances for each point

All notations are to be submitted in a field book and labeled accordingly. You may need to set this up as several smaller component drawings in the field book to accommodate all of the data being collected. SHOW YOUR WORK!!!

Provide a profile elevation (every 10.00′) of the sidewalk along the South side of the Technology Annex building, reference the hydrant elevation, your starting 00+00 station is the far left (West) corner of the building (not the retaining wall)

A

B

C

D

instrument location for points A, B, C & D

instrument location for profile level

instrument location for vertical distance at C

Name Field Book ‐ Lab:____________________________ Date#5 distance and vertical height

distance AB: distance BC: distance CD:

Vertical distance at C:

Profile: Station BS HI FS Elev.

Name Field Book ‐ Lab:____________________________ Date#5 – profile

Surveying Lab

Elevation to top of fire hydrant is 502.64′

what is the vertical distance between the sidewalk (in front of the storefront entrance doors) and top of coping at the corner?

Provide horizontal distance between the points located at the building corners with this symbol on it, you are to use the total station to figure angle and distances for each point

All notations are to be submitted in a field book and labeled accordingly. You may need to set this up as several smaller component drawings in the field book to accommodate all of the data being collected. SHOW YOUR WORK!!!

Provide a profile elevation (every 10.00′) of the sidewalk along the South side of the Technology Annex building, reference the hydrant elevation, your starting 00+00 station is the far left (West) corner of the building (not the retaining wall)

A

B

C

D

instrument location for points A, B, C & D

instrument location for profile level

instrument location for vertical distance at C

Name Field Book ‐ Lab:____________________________ Date#5 distance and vertical height

distance AB: distance BC: distance CD:

Vertical distance at C:

Profile: Station BS HI FS Elev.

Name Field Book ‐ Lab:____________________________ Date#5 – profile level

Presentation On Game Theory Applications

Probability of getting a satisfied client

Over the Past 18 Months of Employment

25 Clients

22 out of 25 clients surveyed scored me with the highest level of satisfaction

Why Would I Make a Great Project Manager?

2

Probability of getting at least 85% of clients satisfaction

Customer Satisfaction Record

Based on my previous customer satisfaction record, there is a probability of 88% that I would maintain a consistent overall customer satisfaction record of 85% or higher:

85 % satisfaction

For higher ratings from Better Business Bureau ,G & B Consulting requires a maintenance of high ethical.

Maintaining customer satisfaction rating of 85% and above.

Maintaining this high rating even after serving next 60 clients.

3

Explanation

The probability of getting at least 85% of clients giving me high customer satisfaction ratings is 82.24%

This is achieved through;

Maintaining customer satisfaction rating of 85% and above.

Maintaining this high rating even after serving next 60 clients

Currently performing most project manager job related responsibilities

Experienced in overseeing other employees, checking their work, and providing insight on improvements

Excellence in client interactions

From my records I would make the company to maintain its standards.

Being the manager will guarantee company success from the high customer satisfaction.

Dominant strategy: Coworker findings

Coworker Zero-Sum Game Solution

Based on the manufacturer’s projections of profits the analysts concluded:

Manufacturer Dominant Strategy: Sue

Competitor Assuming Best Play by Manufacturer: Sue

Pure Strategy: (Sue, Sue)

Competitor
Manufacturer Sue Don’t Sue
Sue (5, -5) (20, -20)
Don’t Sue (-10, 10) (-15, 15)

Based on the information and the work performed,

The conclusion is that the dominant strategy is for the

manufacturer is to choose to sue, and id the competitor

assumed the best play by the manufacturer, they would also sue.

5

My findings

Competitor
Manufacturer Sue Don’t Sue
Sue (5, -5) (20, -20)
Don’t Sue (-10, 10) (-15, 15)

My Zero-Sum Game Solution

If the Competitor chooses to “Sue”:

Manufacturer chooses to “Sue”

If the Competitor chooses to “Don’t Sue”:

Manufacturer chooses to “Sue”

If the Manufacturer chooses to “Sue”:

Competitor chooses to “Don’t Sue”

If the Manufacturer chooses to “Don’t Sue”:

Competitor chooses to “Don’t Sue”

Manufacturer Dominant Strategy: Sue

(Sue, Sue) 5 > -10 (Sue, Don’t Sue) 20 > -15

Competitor Dominant Strategy: No Dominant Strategy

(Sue, Sue) -5 > -20 (Don’t Sue, Don’t Sue) 15 > 10

6

Optimum strategy

Coworker Nonzero-Sum Game Solution

Based on independent research to estimate the competitor’s profits, the analysts concluded:

Manufacturer Optimum Strategy: Sue 50%, Don’t Sue 50%

Competitor Optimum Strategy: Sue 50%, Don’t Sue 50%

Competitor
Manufacturer Sue Don’t Sue
Sue (5, -5) (20, 10)
Don’t Sue (10, 20) (15, 15)

Based on the information from the payoff matrix I do agree with my

coworker.

Its true that the dominant strategy for the manufacturer

is “Sue” since those two values when the competitor chooses

to “sue” or “don’t sue” are their highest possible payouts.

The competitor does not have a dominant strategy since they select to “Sue”

if the manufacturer sues and chooses “Don’t Sue” when the manufacturer also chooses to not sue

7

Manufacturer mixed strategy algorithm

Calculation

Competitor
Manufacturer Sue Don’t Sue
Probability P 1-P
Sue P (5, -5) (20, 10)
Don’t Sue 1-P (10, 20) (15, 15)

8

Competitor mixed strategy algorithm

Calculation

Optimal Strategy

Manufacturer Optimal Strategy:

Choose to sue 50% (1/2) of the time

Choose to not sue 50% (1/2) of the time

Competitor Optimal Strategy:

Choose to sue 50% (1/2) of the time

Choose to not sue 50% (1/2) of the time

I do agree with my coworker’s conclusion based on the payoff matrix and my results using that data.

9

Results Comparison

Since both calculations turn out to be the same, I do agree with my coworker’s conclusion.

This means that the optimum strategy for both the manufacturer and competitor is the choose “Sue” half the time, and “Don’t Sue” the other half of the time.

The solution is not realistic as neither company can select a strategy more than once.

Both the manufacturer and the competitor get once chance to choose to either sue the other or not to.

This then means that the optimal strategy shows which company has the bigger advantage or best shot at winning a suit.

In this case, both are split 50/50 in their decision, so neither has the upper hand in the decision they make.

Case Scenario Game Tree

Optimal Strategy With A Nonzero-Sum Game

Here is my feedback I got back, but I still don’t understand. Please help!

Q1) You will need to relook at this one.  I STILL disagree.  Also, you need to systematically check for dominant strategies as well as for Nash Equilibriums.

Q3) The equations you have here are not correct.

Q5) Can you recreate the error made by coworker?  It is a common one.

Knot Theory

Knot theory

Did you tie your shoe laces the same way today as yesterday? We are all familiar with knots from everyday life. But when does a mathematician consider two knots to be the same? To capture the mathematical, rather than physical, features of a knot, we glue the ends together to form a circular loop, and then treat the string as infinitely strong, thin, and stretchy. The downside of doing so is that it is not immediately clear how to distinguish two knots, as there are infinitely many configurations for the same knot.

For this project you should find out about how knots are represented, and about some of the invariants used to tell them apart. Some possible areas of investigation include:

• tricolourability.

• genus.

• the Jones polynomial.

You should include plenty of your own examples to illustrate your under- standing.

Prerequisites

No particular background knowledge is needed, but you will need to be able to interpret a 2D diagram as a 3D object in space and visualise it moving over time.

Literature

• Colin Adams, The Knot Book

• Peter Cromwell, Knots and Links

Problem Statement

In this mini project,you are expected to provide the following three required components:

(1)Problem Statement

(2) Background Information

(3)Required Work&Solution

The sections containing your problem statement and background information must be typed

using a font size of 12 in“Times New Roman”.Moreover the background information section

must contain“your own words”describing the method used in solving the given problem.

Perform EDA On The Given Dataset

This project requires you to understand what mode of transport employees prefers to commute to their office. The attached data ‘Cars.csv’ includes employee information about their mode of transport as well as their personal and professional details like age, salary, work exp. We need to predict whether or not an employee will use Car as a mode of transport. Also, which variables are a significant predictor behind this decision?

Following is expected out of the candidate in this assessment.

EDA (15 Marks)

  • Perform an EDA on the data – (7 marks)
  • Illustrate the insights based on EDA (5 marks)
  • Check for Multicollinearity – Plot the graph based on Multicollinearity & treat it. (3 marks)

Matlab

There are two problems to solve. You need to read the textbook

The textbook link is:http://dl.icdst.org/pdfs/files1/f9439bee8240b63050d008977beb3252.pdf

Use mathematical image processing