Mod 2 - Topic 3 - Demand estimation and forecasting Flashcards
Because data for analysis may be difficult to obtain, what options do businesses have? (4)
- purchase data from providers
- performance of customer surveys
- acquire from focus groups
- acquire from technology (point of sale / barcodes)
What is regression analysis?
It is a statistical technique to find the best relationship between a dependent variable and selected independent variables.
Regression analysis can be simple or multiple, what do these mean?
- Simple regression - Where one independent variable is used
* Multiple regression - Where more than one independent variable is used.
What are the two types of regression analysis?
- Cross-Sectional - analyse a variable for a single period of time, eg. pizza demanded on each campus on a specific date.
- Time-series data - analyse a variable over multiple periods of time, eg. pizza demanded each week, annual income per capita
What is the regression equation?
Y= a + b1X1 + b2X2 + b3X3…
Where:
Y is the dependent variable;
a is the constant value (y-intercept);
Xn is the independent variables used to explain Y
bn are the regression coefficients (measure the impact of the independent variables)
What does a negative coefficient mean in the following circumstances:
- Price of the product (P)
- Price of a related product (PR)
- The Incomes of those who may purchase the product (I)
All move in the opposite direction:
- P = increase in price = decrease in demand
- PR = product is complementary: increase in demand in one = decrease in related product
- I = product is inferior: increase in income = decrease in quantity demanded.
What does a positive coefficient mean in the following circumstances:
- Price of the product (P)
- Price of a related product (PR)
- The Incomes of those who may purchase the product (I)
All move in the same direction:
- P = increase in price = increase in demand
- PR = product is a substitute: increase in demand in one = increases demand for the other
- I = product is normal or superior: increase in income leads to an increase in demand
What is the importance of the magnitude of the regression coefficients?
They are a measure of elasticity for each variable.
From the regression equation, how do we determine the elasticity?
We need to determine Y (quantity demanded), so each variable must be given values, then we can apply the formula:
E = -b x (P/Q)
What is the t-test and why is it important?
Because results are based on a sample the t-test provides the test of statistical significance of each estimated coefficient, which indicates if the result is reflective of the population.
What is the ‘Rule of 2’?
It is where t is greater than 2 and means that the estimated coefficient is statistically significant at the 0.05 level.
If the t-test is passed, what can we say about the variable?
It has a true impact on demand.
What is R squared?
It is the coefficient of determination and is the percentage of variation in the variable (Y) which is accounted for by variation in all the explanatory variables (Xn)
What is the range of R squared and what does the placement in this range mean?
R squared ranges in value from 0-1 and the closer to 1 the greater the explanatory power of the regression.
What is the impact on R squared when more independent variables (Xn) are added?
It will increase.