# Project Regression to Mean Paper.docx

Topics: Coin flipping, Heads or Tails, Arithmetic mean Pages: 4 (2063 words) Published: November 3, 2014

Memorandum
Subject: Regression to the Mean with Coin Flips
This paper discusses the statistics project, Regression to the Mean with Coin Flips. The paper is divided into four parts, which are summarized below: Part One: The Questionnaires
This section summarizes the results of questionnaires handed out to a random sample of 110 people. Pie charts are provided, which reflect the responses to each question. Part Two: 200 Flips
This section discusses the outcome of flipping a normal coin two-hundred times. Recorded observations are explained in detail. Part Three: 200 Stimulated Flips
For this part, a computer stimulated coin flip in which a coin is flipped two-hundred times is discussed. The results are compared in the context of various statistics principles. Part Four: Overview

This section compares the results of Parts 2 and 3 to the responses to the questionnaires. The section notes the number of people who answered the first two questions on the questionnaire incorrectly. The section also rationalizes whether there is an association and, if so, why such an association exists. Part One: The Questionnaires

For this project, a questionnaire was handed out to a random sample of one hundred and ten people. The questionnaire included the following three questions: 46990216535If we flipped a normal coin ten times, and it came up heads seven of those times, would you expect it to come up heads more or tails more in the next ten flips? If we flipped a normal coin and got four heads in a row, what should we expect the next flip to be? Do you believe you can get on a hot streak when playing cards or sports? 00If we flipped a normal coin ten times, and it came up heads seven of those times, would you expect it to come up heads more or tails more in the next ten flips? If we flipped a normal coin and got four heads in a row, what should we expect the next flip to be? Do you believe you can get on a hot streak when playing cards or sports?

The...