# Caleb Marsh, MA Mathematics

## [email protected], [email protected]

### introductory Survey

Click on the link below to complete the introductory survey. Please be aware that although the identity of the respondents will be kept anonymous, the results will be available to all students.

Introductory Survey

### Section 1 - Displaying Distributions with Graphs

The Terminology of Statistics

Introductory Survey Results

Time Series Plots

The assignment below will be a follow up to our discussions on section 1.1. Please address each of the questions on the document then type your responses in Google Drive. Your assignment will be due to me no later than Monday, January 23, 2017 at 5 PM.

Section 2 - Describing Distributions with Numbers

Creating films that are "age appropriate" is less of a science and more of an art form. Whereas we might believe a particular film is created to engage a specific audience, raw data of such a showing might prove other wise. Below you will find links to trailers of three different films released in the fall of 2010. Additionally, you will find an excel sheet with some data that I collected outside of the theater.

Recently, on Capitol Hill, Senator Diane Feinstein introduced new legislation designed to address "Common Sense Gun Regulations". Pictured above is a Customized Velocity Arms Vmac Automatic Pistol that is listed as a proposed "banned firearm". In truth, at the heart of all gun regulation is the hope that we can reduce the overall violent crime rate... So if we are going to speak intelligently about the crime rate, we should at least know what it is and how it works.

Follow the link below to access your next hand in homework assignment. This assignment must be completed and returned to me, by google doc, by 5:00 PM on Monday, January 30, 2017. Good Luck!

Section 3 - Density Curves and Normal Distributions

Examine the data set below.

Below is a link to several problems we will examine in class today. I will not be taking this document up for a grade.

Exam 1 Preparations

As you all know, we are quickly approaching our first test date. The link below provides you access to an exam that I gave in a previous semester. This should help you with your preparations for our first test. You may skip problem 4,we will cover this material in another chapter this semester.

***CORRECTION*** -  Problem 3b should be .0630.

Project 1

I have shared with each of you information about your first project assignment.  You will find a document in your google drive titled PROJECT 1 (DATA VISUALIZATION PROJECT).  Please complete this assignment no later than Monday, February 20 at 5 PM.

One of the emerging applications we see for statistics is an interdisciplinary journey with the visual arts.  The process for creating informative, descriptive, representative can be daunting and needs proper instruction.

Sources to build data visualizations

Examples of Student work

CHAPTER 2: LOOKING AT DATA RELATIONSHIPS

Sections 1 and 2 - Scatterplots and Correlation

Leonardo DaVinci was a prolific artist and scientist. In fact, he was one of the first individuals to hypothesize that there was a relationship between certain aspects and measurements of the human body. His Vitruvian Man is shown above and is a representation of his hypothesis.

Below you will find several data sets that also indicate relationships and associations between various data sets.

Below is a pdf version of your third hand in assignment. This assignment must be returned to me, via google drive, by :Monday, February 13, 2017.

Section 2.1 handin Assignment

Section 3  - Least-Squares Regression

Least squares regression is a line fitting technique that we will use to generate a predictive equation based upon several different assumptions and parameters.

Regression Applet

Below you will find several data sets that we will use in class to exhibit regression modeling with technology.

Regression Data Sets

Regression handin assignment

You will find your next assignment in your google drive title Lab 4- Regression. Please complete this assignment no later than 5 PM on Wednesday, February 15, 2017.

See your google drive for information on Project 2.  We will complete this project as a group, in class on February 15 & 16.

Section 5 - Data Analysis for two way tables

Where you get your news used to be a simple question and a simple answer. The local news paper, perhaps the network news that came on shortly after dark. Today, that question is less simple and even more polarizing. Below is a link to the full results of a Public Policy Polling study released on February 6, 2013 dealing with this very issue.

Exam 2 Preparations

As you all know, we are quickly approaching our second test date. The link below provides you access to some review materials.

Answer Key  **Please ignore answers 8 & 9 on the answer key. Cramer's Phi for each should be 8) .099 and        9) -.202**

### Chapter 3 - Producing Data

Sections 3.1 and 3.2

Chapter 3 explores several techniques on how we appropriately obtain and use data.

Sampling Design and Sources of Bias

Random.org

Below is a word document with several critical thinking questions. I will not be taking this assignment up, but we will discuss it in class the next time we meet.

Sampling Design and Sources of Bias Critical Thinking Questions

### Chapter 4 - Randomness

Sections 1 & 2 - Randomness and Probability Models

Chapter 4 section 1 deals with the basic terminology and practice of probability modeling. We will discuss several definitions and techniques for applying a value to random procedural outcomes.

Below is your next hand in assignment. This assignment must be returned to me, completed via google drive, by Thursday, March 2, 2017.

Section 5 - Probability Models Defined

Section 5 explores specific probabilities as they relate to compound events.

Below is your next hand in assignment. This assignment must be returned to me, completed via google drive, by Wednesday, March 8, 2017.

Section 4.3 and 4.4 - Random Variables, Means and Variances

Given my recent experiences with the Medical Industry, I was recently prompted to look over my own insurance policy and found the wonderful gem below.

Below are some materials that will help you review for this upcoming test.

### Chapter 5 - Sampling Distributions

Section 5.1 - Sampling Distributions for Proportions

Shown above is one of the most well known moments in US Presidential history. The image depicts President Franklin D. Roosevelt delivering his 1932 inauguration speech titled "The Only Thing We Have to Fear is Fear Itself". As important as this moment was to American history, the days leading up to his inauguration were just as tense and meaningful. Click on the link below to access the electoral map from the 1932 general election.

1932 Election Results

Posted below are a few questions I would like you to ponder with a nearby classmate.

Click on the link below to access additional examples that we will examine in class today.

Sampling Distributions for Proportions

Below is your next hand in assignment. This assignment must be returned to me, completed via google drive, by Thursday, March 23, 2017.

Chapter 5 Handin Assignment Part 1

Section 5.2 - Sampling Distributions for Means

Posted below are a few example problems that we will ponder in class.

Sampling Distributions for Means

Below is your next hand in assignment. This assignment must be returned to me, completed via google drive, by Tuesday, March 28, 2017.

Chapter 5 Handin Assignment Part 2

### Chapter 6 - Estimating with Confidence

Sections 6.1 and 8.1 (Confidence Intervals for Proportions)

2010 Election Map

2010 General Election Exit Polls

Animated Films

What do we mean by confident?

Confidence Interval Applet

Activity Document

Below is your next hand in assignment. This assignment must be returned to me, completed via google drive by Monday, April 3, 2017.

Section 6.1 Handin Assignment

A little known fact is that beer and statistics have a common history. Shown above is a rather iconic image produced by the Guinness Brewing Company out of Dublin, Ireland. See the links below for more details.

William Sealy Gosset

The Probable Error of a Mean

Animated Films

Below is a link to the Student's T table.

Student's T Table

Below you will find several problems that we will examine in class today with the aid statcato.

Approximation Problems

Data Sets

As you all know, we are quickly approaching our fourth test date. The link below provides you access to an exam that I gave in a previous semester. This should help you with your preparations for our next test.

Exam 4 Review Sheet

Exam 4 Review Sheet Answer Key

### Chapters 6, 7 & 8 - Introduction to Hypothesis Testing

We will begin our discussion on hypothesis testing with a brief exploration of a motivating problem. See the links below.

Yellow Test Versus Green Test

Lab Report Survey

*5 steps for hypothesis testing*

1. Given a claim determine the null and alternative hypotheses.

2. Given a claim and sampled data determine a test statistic.

3. Given a claim and sampled data find a critical value.

4. Given a claim and sampled data find a p-value.

5. State your conclusions in plain understandable English

Below is your next hand in assignment. This assignment must be returned to me, completed in google drive, by Thursday April 13, 2017.

Introduction to Hypothesis Testing

Since the nuances of hypothesis testing are to say the least, complicated, it is reasonable to believe that conclusions based upon these tests must be worded properly. See the following link for hints on how to do this.

Wording of the Final Conclusion

Section 8.1 - Inferences for a proportion

Below you will find a link to a document containing several problems that we will examine in class today.

Hypothesis Testing for Proportions

Below is your next hand in assignment. This assignment must be returned to me, completed in google drive, by Tuesday April 25, 2017.

Hypothesis Testing for Proportions Handin Assignment

Section 7.1 - Inferences for a mean

Below you will find a document containing several supplementary problems that we will examine in class today.

EXTRA CREDIT ASSIGNMENT
One of the topics that we have mentioned multiple times this semester is that the interpretation of statistics is an art form. Quite often we find examples in research, the news media, etc. displaying this very fact. The link below is one of those cases. The article posted show an egregious error in the interpretation of the statistics of the poll mentioned by the Gallup Organization. You extra credit assignment is to read this article and the linked article to the Gallup website. I charge you not only to address the errors in the news article, but properly interpret the poll results. Successful completion of this assignment will result in it's score replacing either the lowest lab score or the two lowest hand in assignments (which ever benefits you more). If you plan to attempt this assignment please have it completed and turned in to me by your final exam time.

Final Examination materials

Testing Dates and Times

Section 101 - Friday, May 5, 2017 at 9:00 AM (room 205)

Section 102 - Friday, May 5, 2017 at 12:00 PM (room 205)

Click on the link below to access a comprehensive final review packet.

Final Exam Review Packet

Final Exam Review Packet Answer Key

Z score Chart

T score Chart

Table of significant R values

Wording of the Final Conclusion

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