Simple Linear
Regression
APPLIED STATISTICS
L ECTURE 19
01-April-17
Todays Topics
Regression Analysis: A Complete Example
(Reading: Chapter 13)
Regression Analysis:
A Complete Example
Example 13-8
A
Simple Linear
Regression
APPLIED STATISTICS
L ECTURE 17
23-Mar-17
Todays Topics
Scatter Diagram
Least Squares Regression Line
Assumptions of the Regression Model
(Reading: Chapter 13)
Scatter Diagr
Time-series analysis and
Forecasting
APPLIED STATISTICS
L ECTURE 22
13-April-17
Todays Lecture
Introduction to Forecasting
Time Series vs Cross-sectional data analysis
Time series components
The m
Multiple Regression
APPLIED STATISTICS
L ECTURE 20
06-April-17
Todays Topics
Multiple regression
(Reading: Chapter 14)
Multiple Regression Analysis
Definition
A regression model that includes two or
Time-series analysis and
Forecasting
APPLIED STATISTICS
L ECTURE 23
15-April-17
Todays Lecture
Introduction to Forecasting
Time Series vs Cross-sectional data analysis
Time series components
The m
Time-series analysis and
Forecasting
APPLIED STATISTICS
L ECTURE 21
08-April-17
Todays Lecture
Introduction to Forecasting
Time Series vs Cross-sectional data analysis
Time series components
The m
Introduction to Statistics
Before we start off talking statistics, we should first get acquainted to
the terminologies conventionally used in the field of statistics.
The term statistics actually conv
Discrete Random
Variable & Their
Probability Distribution2
Factorials
The value of the factorial of a number is obtained by multiplying
all the integers from that number to 1.
Factorials The symbol n!
ORGANIZING & GRAPHING
DATA
In this chapter we shall see how through the techniques provided by
Descriptive Statistics, we can organize and display data using bargraphs, pie-charts, histograms, polygo
PROBABILITY-PART 1
WHY NEED
PROBABILITY?
Probability, which measures the likelihood that an event will occur, is an important part of statistics. It is
the basis of inferential statistics, which will
Discrete Random Variable &
Their Probability Distribution
We know that any given statistical experiment has more than one
outcome. It is impossible to predict which of the many possible
outcomes will
Probability:Part
-2
Marginal & Conditional
Probabilities
Marginal Probability: Marginal probability is the
probability of a single event without consideration of any other
event. Marginal probability
ORGANIZING & GRAPHING DATA( PART-2)
SHAPES OF
HISTOGRAM
Histograms can take up one of the following shapes:
I. Symmetric
II. Skewed
III. Uniform or rectangular
Symmetric histogram is identical on both
Sampling Distribution-1
We have talked about probability distribution
of random variables, we now extend that
probability distribution concept to the concept
of sample statistics. If you can recall,
PRBABILITY3
INTERSECTION OF
EVENTS & THE
MULTIPLICATION RULE
Intersection of Events Let A and B be two events defined in a sample
space. The intersection of A and B represents the collection of all
o
Numerical Descriptive Measure:
Part-3
Measure of Position
Measure of position determines the position
of a single value in relation to other values in a
sample or a population data set. There are
man
Numerical Descriptive Measure:
Part-2
Central Tendency & Measure of Dispersion
for Grouped Data
Previously we saw how to obtain numerical
summary measures of ungrouped data, now
we extend the analysi
Continuous Random Variable & the
Normal Distribution-1
The possible values that a continuous random variable can
assume are infinite and uncountable. For example, the
variable that represents the tim
Sampling Distribution-2
Applications of the Sampling Distribution of X
Given a normally distributed population, or a non-normal
distributed population and using the Central Limit Theorem
we can say t
Continuous Random Variable &
the Normal Distribution-2
Standardizing a Normal Distribution
In real-world applications, a (continuous) random
variable may have a normal distribution with values
of the
Introduction to Statistics!
BUS (172)!
2015"
Professor Golam Moinuddin, PhD."
CHAPTER 1: !
!
INTRODUCTION
"
WHAT IS STATISTICS?"
Definition"
Statistics is a group of methods used to collect,
analyze,
Assignment 1
Department of Public Health
Course: Biostatistics I (AH)
Due: February 12 (F) and February 15 (M)
Q1 In a study of physical endurance levels of male college freshman in NSU, the endurance
Bar Chart
Bar charts are commonly used to describe categorical data. Height of bar shows the
frequency for each category.
Example: NSU students by Departments
Departments
BBA
EEE
CSE
ECON
PHARMACY
ENV
Linear Regression
Bo Han
Texas A&M University-Commerce
Simple Linear Regression
Regression Model: The equation that describes how y is
related to x and an error term.
Simple Linear Regression Model:
y