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DSCI 5180: Introduction to the Business Decision Process Case Study 2 Constructing a Demand Curve for Crude Oil © 2013 Nick Evangelopoulos, ITDS Dept., Univ. North Texas slide 1 Review of Microeconomics/Price Theory DSCI 5180 Decision Making A Demand Curve shows the relationship between price and consumption Plots Price on the vertical axis and Consumption on the horizontal axis slide 2 Using a Demand Curve DSCI 5180 Decision Making A demand curve can be used in business planning For example, if a certain accident (spillage, explosion, etc.) results in a temporary reduction of the total quantity of an essential raw material offered for sale in the market, the demand curve can help you estimate the expected price increase so that supply and demand are stabilized Knowing the expected price increase allows you to adjust your budget Price B Equilibrium moves from A to B A Quantity consumed slide 3 Oil consumption data DSCI 5180 Decision Making File USOilDemand1970-2002.xls contains data related to demand for crude oil in the United States in the 1970-2002 period. Data were obtained from the U.S. Dept. of Energy and U.S. Department of Labor Web sites. Y AdjOilPrice X1 USPop X2 USOilCons X3 WorldOilCons Inflation Adjusted U.S. Crude Oil Price, base year = 2005 (in $) Total Midyear Resident U.S. Population U.S. Petroleum Consumption in million barrels per day World Petroleum Consumption in million barrels per day slide 4 Not a clean demand curve DSCI 5180 Decision Making A preliminary plot of AdjOilPrice versus USOilCons does not provide a clean demand curve! slide 5 Why not a clean demand curve? DSCI 5180 Decision Making This happens because our data spans a number of years during which many things changed, including population and oil consumption habits and needs The price/quantity equilibrium points need to be adjusted so that they correspond to a single demand curve. Price Price Quantity Quantity slide 6 Drivers of US Oil Consumption other than Oil Price DSCI 5180 Decision Making If Oil Prices in the US were held constant, US Oil Consumption would be driven by such factors as: •Oil Availability (World Oil Production) •Population Growth (US Population) •Spending Habits of the US Consumers (Total US Consumption) Based on these drivers, we fit a regression model that explains US Oil Consumption. The unexplained part (residuals) is a US Oil Consumption Differential. US Oil Consumption = f(World Oil Production, US Population, US Consumption) + US Oil Consumption Differential slide 7 Drivers of US Oil Consumption other than Oil Price DSCI 5180 Decision Making The regression model has a good fit. All regression assumptions (normality, constant variance, independence of the error term) hold. slide 8 Drivers of Oil Price other than US Oil Consumption DSCI 5180 Decision Making The same drivers may partially affect Inflation-Adjusted Oil Price. We fit a second regression model that explains US Oil Price (adjusted for inflation). The unexplained part (residuals) is a US Oil Price Differential. Inflation-Adjusted US Oil Price = f(World Oil Production, US Population, US Consumption) + US Oil Price Differential slide 9 Price vs. Consumption after the model adjustments DSCI 5180 Decision Making Plotting Residuals1 (=US Oil Price Differential) vs. Residuals2 (=US Oil Consumption Differential) reveals a shape that is much closer to a demand curve slide 10 Adding a quadratic demand curve DSCI 5180 Decision Making Transfer your data to Excel, plot the scatterplot, and then add a trendline. Change the trendline settings to a second-order polynomial curve slide 11 Final measurement scale adjustment DSCI 5180 Decision Making The plot shown in the previous slide uses “differential” measurement scales. These may be hard to interpret. Adding a constant to all data for the two variables would not alter their relationship or the shape of the curve. Add the average price to all US Oil Price Differential values and add the average consumption value to all US Oil Consumption Differential values Model-Adjusted US Oil Price = US Oil Price Differential + Average (Price) Model-Adjusted US Oil Consumption = US Oil Consumption Differential + Average (Consumption) slide 12