Regression and Forecasting Models Professor William Greene Stern School of Business IOMS Department Department of Economics 0-1/17 Part 0: Introduction Regression and Forecasting Models Part 0 - Introduction 0-2/17 Part 0: Introduction Professor William Greene; Economics and IOMS Departments Office: KMEC, 7-90 (Economics Department) Office phone: 212-998-0876 Email: wgreene@stern.nyu.edu URL: http://people.stern.nyu.edu/wgreene http://people.stern.nyu.edu/wgreene/regression/Outline.htm 0-3/17 Part 0: Introduction Course Objectives Basic understanding: The regression model as a framework for the analysis of relationships among variables Technical know how: How to formulate a regression model, estimate its parameters, and understand the implications of the estimated model. 0-4/17 Part 0: Introduction We used McDonald’s Per Capita 0-5/17 Part 0: Introduction Macs and Movies Countries and Some of the Data Code Pop(mm) per cap Income 1 Argentina 37 12090 2 Chile, 15 9110 3 Spain 39 19180 4 Mexico 98 8810 5 Germany 82 25010 6 Austria 8 26310 7 Australia 19 25370 8 UK 60 23550 0-6/17 # of McDonalds 173 70 300 270 1152 159 680 1152 Language Spanish Spanish Spanish Spanish German German English UK Genres (MPAA) 1=Drama 2=Romance 3=Comedy 4=Action 5=Fantasy 6=Adventure 7=Family 8=Animated 9=Thriller 10=Mystery 11=Science Fiction 12=Horror 13=Crime Part 0: Introduction Movie Genres 0-7/17 Part 0: Introduction Movie Madness Data (n=2198) 0-8/17 Part 0: Introduction 0-9/17 Part 0: Introduction Case Study Using A Regression Model: A Huge Sports Contract 0-10/17 Alex Rodriguez hired by the Texas Rangers for something like $25 million per year in 2000. Costs – the salary plus and minus some fine tuning of the numbers Benefits – more fans in the stands. How to determine if the benefits exceed the costs? Use a regression model. Part 0: Introduction Baseball Data (Panel Data – 31 Teams, 17 Years) 0-11/17 Part 0: Introduction A Regression Model Attendance(team,this year) = α team + γ Attendance(team, last year) + β1Wins (team,this year) + β 2 Wins(team, last year) + 3 All_Stars(team, this year) + (team, this year) 0-12/17 Part 0: Introduction = .54914 1 = 11093.7 2 = 2201.2 3 = 14593.5 Effect of 1 more win 11093.7 2201.2 32757 1 .59414 Effect of adding an All Star 14593.5 = 35957 1 .59414 = 0-13/17 Part 0: Introduction Marginal Value of an A Rod 0-14/17 8 games * 32,757 fans + 1 All Star = 35957 = 298,016 new fans 298,016 new fans * $18 per ticket $2.50 parking etc. $1.80 stuff (hats, bobble head dolls,…) $6.67 Million per year !!!!! It’s not close. (Marginal cost is at least $16.5M / year) Part 0: Introduction Course Prerequisites Basic algebra. (Especially summation) Geometry (straight lines) Logs and exponents NOTE: I (you) will use only base e (natural) logs, not base 10 (common) logs in this course. Previous course in basic statistics – up to testing a hypothesis about a mean 0-15/17 Part 0: Introduction Course Materials http://people.stern.nyu.edu/wgreene/regression/Outline.htm 0-16/17 Notes: Distributed in first class Text: McClave, Benson, Sincich; Statistics for Business and Economics (2nd Custom NYU edition), Pearson, 2011. On the course website: Class slide presentations Problem sets Data sets for exercises Part 0: Introduction Course Software: Minitab The Current Version: Minitab 16 Buy: Professional Bookstore Rent: e5.onthehub.com $29.99 to rent for 6 months, $99.99 to own Search: e5.onthehub.com minitab 0-17/17 Part 0: Introduction