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Ch 1: Introduction to Data
What are data?
Classifying and storing data
Investigating data
Organizing categorical data
Sampling methods and design of experiments
Ch 2: Picturing Variation with Graphs
Visualizing variation with numerical data
Summarizing important features of a numerical distribution
Visualizing variation in categorical variables
Summarizing categorical distributions
Interpreting graphs
Ch 3: Numerical Summaries for Centers and for Variation
Summaries of symmetric distributions
The empirical rule and z-scores
Summaries for skewed distributions
Comparing measures of center
Using boxplots for displaying summaries
EXAM 1
Ch 4: Regression Analysis: Exploring Association among Variables
Visualizing variability with scatterplots
Measuring Strength of Association with Correlation
Modeling linear trends - Least-squares regression
Evaluating the linear model
Ch 5: Modeling Variation with Probability
What is Randomness?
Finding theoretical Probabilities - sample space and elementary probability
Finding theoretical Probabilities - compound probability: addition rule and mutually exclusive events
Finding theoretical Probabilities - compound probability: multiplication rule, independent events
Associations in categorical variables including conditional probability
Law of large numbers
EXAM 2
Ch 6: Modeling Random Events: The Normal and Binomial Models
Probability distributions – discrete and continuous
The Normal model and its applications
The Binomial Model and its applications
Ch 7: Survey Sampling and Inference
Learning about the world through surveys
Measuring the quality of a survey
Sampling distributions, Central Limit Theorem for sample proportions
Estimating the population proportion with confidence intervals
EXAM 3
Ch 8: Hypothesis Testing for Proportions
Main ingredients of hypothesis testing
Hypothesis testing in four steps
Characterizing p-values
Hypothesis testing in four steps – the one proportion z-test
Ch 9: Inferring Population Means
Sampling distribution of means
Central Limit Theorem for sample means
Answering questions about the mean of a population
Hypothesis testing for means
Overview of analyzing means
EXAM 4
Review For Final Exam
FINAL