Question: SUMMARY OUTPUT Regression Statistics Multiple R 0.957 R Square 0.915 Adjusted R Square 0.908 Standard Error 5.779 Observations 52 ANOVA df SS MS F Significance

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.957
R Square 0.915
Adjusted R Square 0.908
Standard Error 5.779
Observations 52
ANOVA
df SS MS F Significance F
Regression 4 16947.86487 4236.9662 126.8841 1.45976E-24
Residual 47 1569.442824 33.392401
Total 51 18517.30769
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 39.08190 15.31261 2.55227 0.014012 8.27693 69.88687
X-Price -7.37039 0.98942 -7.44921 1.71E-09 -9.36084 -5.37994
Y-Price -3.42813 0.21342 -16.06289 1.03E-20 -6.10796 -4.74831
Z-Price 4.05067 0.33949 11.93173 7.95E-16 3.36771 4.73363
Income 0.00288 0.00038 7.57448 1.11E-09 0.00212 0.00364

Questions and analysis:

1. Forecast the quantity demanded when own price is $12, the price of Y is $16, the price of Z is $20, and household income is $45,000.Construct an approximately 95% confidence interval around your estimate.

Sales forecast:____ Confidence interval:__

2. Calculate own price elasticity of demand when own price is $12, the price of Y is $16, the price of Z is $20, and household income is $45,000. Is demand elastic or inelastic at this point?

Elasticity = ______

Elastic or inelastic? _______

3. Suppose the marginal cost of model X is a constant $8 per unit. Find the profit maximizing price and quantity for the producer of model X, once again assuming the price of Y is $16, the price of Z is $20, and household income is $45,000.

Optimal Price: ______

Optimal Quantity: _______

4. Calculate cross price elasticity between the model X and the price of Z when X is at its optimal price, the price of Y is $16, the price of Z is $20, and household income is $45,000.

Cross Price Elasticity (Z) = _______________

5. How exactly should the producer of model X respond when the producer of Z raises its price by $1?

Strategic response:

6. How exactly should the producer of model X respond when the producer of Y raises its price by $1?

What is different compared to the response to price of Z increasing?

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