Chapter 5
Probability
Part 2
Law of Large Numbers
The Law of Large Numbers says that the long-run relative
frequency of repeated independent events gets closer and
closer to the true relative frequency as the number of trials
increases. After many, may re
Chapter 7: Survey Sampling and Inference
Survey Terminology
The population is the group of people or objects we wish
to study.
A parameter is a numerical value that characterizes some
aspect of the population.
A census is a survey in which every member of
Chapter 4: Regression Analysis-Exploring
Associations Between Variables
Scatterplots
Scatterplots are the best way to start observing the
relationship and the ideal way to picture associations between
two quantitative variables
In a scatterplot, you can
Exploring and Understanding Data !
& Statistical Graphs
!
!
Nathan Langholz
Chapter 1: Introduction to Data
Statistics
. is the science of conducting studies to collect, organize,
summarize analyze and draw conclusions from data.
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!
Descriptive statistic
Tree Diagrams
Tree diagrams help us think through conditional probabilities
by showing sequences of events as paths that look like
branches of a tree
We often make tree diagrams when reversing the conditioning
Suppose we want to know Prob(A | B), but we
Chapter 2 Review
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What type of graph is this? What kind of variable?
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How would you describe the shape?
Chapter 2 Review
What type of graph is this? What kind of variable?
!
!
What does this graph say about allowing or forbidding?
Chapter 3: Numerical S
Chapter 3
Numerical Summaries of Center and Variation
Part 3
Example
Consider the following test scores:
3, 79, 82, 83, 92, 94
What is the median?
Q1? Q3?
What is the IQR?
Left limit?
Right limit?
Are there any outliers?
Boxplots
A box plot is a chart tha
Chapter 5
Probability
Part 1
Randomness
A situation where we know what outcomes could
happen, but we dont know which particular
outcome did or will happen.
However, we can calculate the probability with
which each outcome will happen.
People are not good
Chapter 5
Probability
Part 3
Associations in Categorical Variables
By looking at the table below, is there an association
between martial status and having a college
education?
If there is an association, the probability that a
randomly selected college-e
Chapter 4
Regression Analysis:
Exploring Associations between Variables
Part 1
Scatterplots
Scatterplots are the best way to start observing the
relationship and the ideal way to picture
associations between two quantitative variables.
In a scatterplot, y
Homework 1(Due Friday 9/30)
* Please turn in HW at the beginning of lecture on Friday. Make sure it's
written on 8.5x11 white or lined paper and all pages are stapled. Don't
forget to write your full name, student ID number, TA name and section
number on
Chapter 4
Regression Analysis:
Exploring Associations between Variables
Part 3
Burger King Example
Lets look at the Burger King menu items example
again. We found that the slope is 0.97 and
intercept is 6.8. We were using the protein
content to predict th
Chapter 4
Regression Analysis:
Exploring Associations between Variables
Part 2
Linear Model
Correlation says there seems to be a linear
association between these two variables but it
doesnt tell us what that association is.
We can say more about the linea
Chapter 5: Probability
Randomness
A random phenomenon is a situation in which we know
what outcomes could happen, but we don't know which
particular outcome did or will happen
However, we can calculate the probability with which each
outcome will happen