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# Class Notes for Statistics at University of Pennsylvania

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###### 24HR Notes

The notes and past exams you need. Available 24 hours after each lecture.

##### STAT 101 Lecture Notes - Lecture 24: Market Saturation, Diminishing Returns 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 24: Regression R-Squared ● Define R as (r) , that is the sample correlation squared. ● It is sometimes called the Coefficient of Determination, but R ...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture 25: Curvature 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 25: Curvature Diminishing Returns to Scale ● A liquor store company wants to maximize its sales. It has a new wine to sell. It has an alternative pro...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 23: Mean Squared Error 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 23: Line of Fit Reasons to fit a line through data ● Graphically summarize ● Interpolate ● Forecast/extrapolate (with caution) ● Mathematica...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture 22: AB Testing 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 22: A/B Testing A/B Testing ● Making decisions based on what you know, not just a hunch. Choosing between two options (A & B). ● It has been aro...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 21: Confidence Interval, Statistical Unit, Null Hypothesis 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 21: Comparative Analytics (continued) Testing for a difference between two proportions ● Ex) Is there a difference between voluntary turnover between men an...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 20: Linear Combination, Null Hypothesis, Confounding 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 20: Comparative Analytics Two sample T-test ● Here we are dealing with the population sample paradigm again, but with two populations ● You can ...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 18: Confidence Interval, Sample Size Determination, Odds Ratio 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 18: Interpreting Confidence Intervals, Finding Sample Size, & Hypothesis Testing Interpreting a Confidence Interval ● Correct: ○ 95% of intervals...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 19: Null Hypothesis, Test Statistic, Sample Size Determination 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 19: Hypothesis Testing (continued) Summary of Testing Process ● Set up the appropriate null and alternative hypothesis ● identify the right test statis...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 17: Confidence Interval, Sample Size Determination, Sampling Distribution 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 17: Confidence Interval for Proportions T-Distribution (continued) ● Distribution can be found by: ○ ● The reason why the T is differen...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 16: Statistical Inference, Normal Distribution 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 16: Confidence Intervals Interval Estimates ● Giving a range of numbers as an estimate as opposed to a single point ○ this is much more reasonab...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 12: Central Limit Theorem, Random Variable, Standard Deviation 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 12: The Normal Distribution Facts we already know about normal distributions: ● The shape of the distribution (bell curve) ...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 13: Heavy-Tailed Distribution, Normal Distribution 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 13: Quantiles, Higher Moments, & Intro to Sampling Quantiles ● Turn the question around ● Ex) Using the pregnancy facts from the previous lecture, that...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 11: Independent And Identically Distributed Random Variables, Chocolate Chip Cookie, Bernoulli Distribution 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 11: Random Variables The Bernoulli random variable ● The Bernoulli r.v. is the simplest type of random variable you a can get (apart from a constant)...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 14: Sampling Frame, Simple Random Sample, Standard Deviation 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 14: Sampling Sample Paradigm ● You can’t survey an entire population, and so you can survey a sample represenatative of the population to draw conclu...

Statistics
STAT 101
Richard Waterman
##### STAT 101 Lecture Notes - Lecture 15: Hospital-Acquired Infection, Standard Deviation, Decision Rule 24HRPremium

Stat 101 - Introduction to Business Statistics - Lecture 15: Quality Control To Understand Quality Control Chart, You must Master: 1. Central Limit Theorem 2. Standard Error of x-bar a. 3. Surpris...

Statistics
STAT 101
Richard Waterman
##### Statistics - Reference Guides

This Guide provides an easy to follow summary of all basic principles that are the foundation to Statistics and Probabilities. Using a combination of charts and sample equations, the key concepts are developed and the esse...

Econometrics
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