Chapter 4: Probability
Chapter 4
Introduction to Basic Probability
LEARNING OBJECTIVES
The main objective of Chapter 4 is to help you understand the basic
principles of probability, thereby enabling you to:
1.
2.
3.
4.
5.
6.
7.
8.
Describe what probabilit
MATH 201: Basic Statistics
Wilson Gan
Lecture Four
Reference for Definitions: Bowerman et al. (2009)
Probability
The probability of an event is a number that
measures the likelihood that an event will occur.
Experiments and Sample Spaces
An experiment is
MATH 201: Basic Statistics
Wilson Gan
Lecture Five
Reference for Definitions: Bowerman et al. (2009)
Random Variables
Two Types of Random Variables: Discrete and
Continuous
Random Variables
A random variable is a variable that assumes numerical
values tha
Chapter 6: Continuous Distributions
Chapter 6
Continuous Probability Distributions
LEARNING OBJECTIVES
The primary learning objective of Chapter 6 is to help you understand
continuous distributions, thereby enabling you to:
1.
2.
3.
4.
Solve for probabili
Chapter 12: Simple Regression Analysis
1
Chapter 12
Introduction to Regression Analysis and Correlation
LEARNING OBJECTIVES
The overall objective of this chapter is to give you an understanding of bivariate linear
regression analysis, thereby enabling you
Chapter 8: Statistical Inference: Estimation for Single Populations 1
Chapter 8
Estimating Parameters for Single Populations
LEARNING OBJECTIVES
The overall learning objective of Chapter 8 is to help you understand
estimating parameters of single populati
MATH 201: Basic Statistics
Wilson Gan
Lecture Eight
Reference for Definitions: Bowerman et al. (2009)
Forecasting
Three approaches to forecasting demand:
Moving Average | Weighted Moving Average |
Linear Regression
Moving Average Methods
Moving Average as
Chapter 5: Discrete Distributions
Chapter 5
Discrete Probability Distributions
LEARNING OBJECTIVES
The overall learning objective of Chapter 5 is to help you understand a
category of probability distributions that produces only discrete outcomes,
thereby
MATH 201: Basic Statistics
Wilson Gan
Lecture Two
Can Charts Lie?
They say that a picture paints a thousand words. Graphs
allow you to paint vastly different pictures with the same
thousand words in order to advance your interests.
Be mindful of scales us
Chapter 2: Charts and Graphs 1
Chapter 2
Visualizing the Data
LEARNING OBJECTIVES
The overall objective of Chapter 2 is for you to master several techniques
for summarizing and depicting data, thereby enabling you to:
1.
2.
3.
4.
Construct a frequency dis
MATH 201: Basic Statistics
Wilson Gan
Lecture Three
Reference for Definitions: Bowerman et al. (2009)
Descriptive Statistics
Statistics is the study of how to collect, summarize and
interpret numerical data. Descriptive statistics is the
science of descri
Chapter 3: Descriptive Statistics
1
Chapter 3
Describing Data through Statistics
LEARNING OBJECTIVES
The focus of Chapter 3 is the use of statistical techniques to describe data,
thereby enabling you to:
1.
2.
3.
4.
5.
Apply various measures of central te
MATH 201: Basic Statistics
Wilson Gan
Lecture Seven
Reference for Definitions: Bowerman et al. (2009)
Confidence Intervals
Putting a fence around our estimate of the
population parameter
Formula for the Confidence Interval
In general, the probability is 1
MATH 201: Basic Statistics
Wilson Gan
Lecture Six
Reference for Definitions: Bowerman et al. (2009)
Continuous Probability
Distributions
Normal Distribution
We first begin with some intimidating Math
which you will not really use.
f( x) =
1
2
1 x
e 2
MATH 201: Basic Statistics
Wilson Gan
Lecture One
Reference for Definitions: Bowerman et al. (2009)
Introduction to Statistics
We begin by defining a data set
Data set: Data collected for a particular study which
provides information about some group of i