Statistics 104 Spring 2011 Section #8
Topics for Section Classical Hypothesis Testing 2 Test for Two Way Table Inference for Simple Regression Interpretation of R2 Standard deviation of residuals s Confidence intervals, t-test for regression parameters Co
Stat 104 Section Notes 4 Problem Solutions 1) In a 7 game playoff series like the World Series, the first team to win 4 games wins the series. a) Assuming there is equal probability that each team wins each game, what is the probability that the series en
Stat 104 Section Notes 5 Problem Solutions 1) A friend of mine is pregnant. It is known that birth weights of babies in the US are approximately normally distributed with a mean of 3300 grams and a standard deviation of 375g [http:/en.wikipedia.org/wiki/B
Stat 104: Quantitative Methods for Economists
Class 11: Random Variables, Part I
1
Turning Letters into Numbers
We've been studying statements like P(A) or P(B|A). That is, probability of different events happening. But many things in the real world are e
Practice Exam 1 Solutions
Final Examination Directions The exam will end 3 hours minutes after it begins. The exam is divided into two parts. The first part is multiple choice. Please answer the multiple choice questions on the exam by circling the best a
Stat 104 : Quantitative Methods for Economists
Study Guide Solutions, Part 1
Practice Problems 1) Describe the shape of the histogram:
This histogram is bimodal; that means it has two distinctive peaks. It also might be called skewed to the right. 2) For
Statistics 104: Quantitative Methods for Economists
Fall 2010 Final Examination Directions This exam is open book/open notes. Calculators are allowed but not laptop computers. The exam will end 3 hours after it begins. The exam is divided into two parts.
Stat 104: Quantitative Methods for Economists
Study Guide Solutions, part 2
1) The table below shows, for credit card holders with one to three cards, the joint probabilities for number of cards owned (X) and number of credit purchases made in a week (Y).
Statistics 104
Homework #9
Due: April 10, 2009
1. Fertility. Fertility rate is defined as the number of children a woman bears, on average, in her
lifetime. The association between the percentage of married women who use contraception and
the fertility ra
Stat 104 Section 3, Spring 2011 Contact info 1. Josh Zagorsky, <zagorsky@fas.harvard.edu> 2. Office Hours: Thursdays from 2pm-3pm in Science Center 600, or email for other times. Notes from p-set #2 1. is the regression line slope coefficient of a stock t
Statistics 104 Spring 2011 Section #3
Topics for Section Probability and Conditional Probability Unions, Intersections, Complements, Disjoint Events 2 x 2 Tables Independence of Events Bayes' Rule/Theorem Practice Problems 1. Kevin has a tomato garden whi
Stat 104 Section 2, Spring 2011 Contact info 1. Josh Zagorsky, <zagorsky@fas.harvard.edu> 2. Office Hours: Thursdays from 2pm-3pm in Science Center 600, or email for other times. Notes from p-set #1 1. Quartiles: different conventions for naming, but if a
Stat 104 Section 1 1 Contact Info Josh Zagorsky, <zagorsky@fas.harvard.edu> Office Hours: Thursdays from 2pm-3pm in Science Center 600, or email for other times. 2 Logistics Course website: my.harvard.edu/k78388 Problem Set #1 is due Friday, Feb 4th, at 4
Stat 104: Quantitative Methods for Economists
Class 7: Regression, a first look
1
Correlation vs. Regression
A scatter plot can be used to show the relationship between two variables Correlation analysis is used to measure the strength of the association
Stat 104: Quantitative Methods for Economists
Class 12: Random Variables, Part II
1
What were we talking about?
Random variables Mean, variance Linear transformation rule
2
Rules for Expectation and Variance
Let X be a random variable with mean and varian
Stat 104: Quantitative Methods for Economists
Class 13: Important Discrete Probability Distributions
1
What is a probability distribution ?
Let X be a random variable. A probability distribution for X tells us two things: 1) What values X can take on 2) T
Stat 104: Quantitative Methods for Economists
Class 14: Continuous Probability Distributions
1
Discrete versus Continuous
The major distinction between a continuous and discrete random variable is the numerical events of interest. We can list all possible
Stat 104: Quantitative Methods for Economists
Class 15: Sampling and the Central Limit Theorem
1
You Could be Wrong
Have you ever not completed a task fully? Suppose you're a teacher's aid at school, and for a state mandated school audit, you need to find
Stat 104: Quantitative Methods for Economists
Class 16: Confidence Intervals- One Sample Mean
1
Introduction
Say we have a population of interest and we want to determine what its mean is.
Population
= ?
We know the procedure is to generate a random samp
Stat 104: Quantitative Methods for Economists
Class 17: Confidence Intervals- One Sample Proportion
1
What is a sample proportion?
Say we survey n people and ask them if they like the movie The Social Network (yes or no). We obtain n responses of the form
Stat 104: Quantitative Methods for Economists
Class 21: Confidence Intervals- Two Samples
1
Midterm Exam: October 18
7pm at night-locations to be announced Open book/Open notes Topics Include
Mean and Variance of Data, Correlation, Covariance, Regression
Stat 104: Quantitative Methods for Economists
Class 1: Introduction
1
And you want to be my latex salesman?
2
Where Am I?
Michael Parzen: Sci 300b Phone: 617-495-8711 Google Voice: 617-942-0621 Email: mparzen@stat.harvard.edu
3
Who Am I?
4
What is this co
Stat 104: Quantitative Methods for Economists
Class 2: Getting (good?) Data
1
One of many definitions.
Statistics is a collection of procedures and principles for gathering data and analyzing information in order to help people make decisions when faced w
Stat 104: Quantitative Methods for Economists
Class 3: Graphs and Summarizing Data-Measures of Center
1
Describing Data : Graphically and Numerically
Assuming we have generated a random sample of data from some population (everyone in the population is eq
Stat 104 Midterm Exam Topics The following topics are the main ideas from the first half of the course. We will discuss this list on Monday (March 9th) in class. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) Binomial mean and vari
Stat 104: Quantitative Methods for Economists
Class 10: Introduction to Probability, Part III
1
Bayes' Theorem
One important point about conditional probability is that (usually) P(A|B) does not equal P(B|A). Some books make a big deal out of this but its
STATISTICS 104
Name:
FINAL EXAM SOLUTIONS
Key
Section TF/day and time:
Final Exam Solutions
Tuesday May 20, 2008
This is a closed-book exam. You may bring in three 8.5 x 11 two-sided sheets of
notes and a calculator.
All work must be your own. You may n
STATISTICS 104
1
FINAL EXAM
Name:
Section TF/day and time:
Final Exam
Thursday January 22, 2009
This is a closed-book exam. You may bring in three 8.5 x 11 two-sided sheets of
notes and a calculator.
All work must be your own. You may not give or receiv
1. (F011 2008, question 3) The American Veterinary Association claims that the annual cost at
medical care for dogs averages $100 with a standard deviation of $30 and that the annual cost
for cats averages $120 with a standard deviation of 5-10. Assume in
Things to learn:
-Types of histograms, box plots, and regression scatter plots that need transformations:
Transformations of the form Y^k where k= -1, -, 0 (log), , 1 (identity), 2
-least-squares line from mean, varience, and correlation r : y = b0 + b1 *