How strong is the relationship between the quantity demanded and the set of independent variables?

Complete the following questions using the spreadsheet, “ECN-601 Extended Problems Data.” Begin by entering the data provided on a separate Excel spreadsheet and label the tab “handout.” Complete the following steps for this assignment.

  1. Use regression to estimate the demand function. Show the results.
  2. Write the subsequent demand equation, with Qd as the dependent variable; Price, Advertising, Product Development, and Rel Price as the independent variables.
  3. How strong is the relationship between the quantity demanded and the set of independent variables? List and briefly interpret at least two measures of this strength.
  4. Which variable is most important in determining quantity demanded? Justify the reasoning?
  5. Solve for the price elasticity of demand. Classify the product’s demand as elastic or inelastic. Price elasticity of demand can be found by the following equation:
ep = (coefficient of price variable x average price) / (average Qd)
Average values for all variables are below.
Qd 626,271
Price $            10.06
Advertising $        181,000
 Product Development $        125,417
Rel Price $            10.16

 

  1. Solve for the cross price elasticity of demand. Classify the relationship between these products as complements or substitutes. The formula for this coefficient is similar to the one for price elasticity:

Ex: (coefficient of Rel Price variable x average value of Rel price)/(average Qd)

The average variable levels are listed in part (f) above.

  1. Forecast Qd if:

Price                                       $10.00

Advertising                        $150,000

Product Development     $150,000

Rel Price                        $10.25

 

Construct a 95% confidence interval around this forecast.

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