Exam 7: Demand Estimation and Forecasting

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Demand equations derived from actual market data are

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Refer to the following: The following linear demand specification is estimated for Conlan Enterprises, a price-setting firm: Q=a+bP+cM+dPRQ = a + b P + c M + d P _ { R } where Q is the quantity demanded of the product Conlan Enterprises sells, P is the price of that product, M is income, and PRP _ { R } is the price of a related product. The results of the estimation are presented below: DEPENDENT VARIABLE: Q R-SQUARE F-RATIO P-VALUEONF OBSERVATIONS: 32 0.7984 36.14 0.0001 VARIABLE PARAMETER STANDARD ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 846.30 76.70 11.03 0.0001 P -8.60 2.60 -3.31 0.0026 M 0.0184 0.0048 3.83 0.0007 PR -4.3075 1.230 -3.50 0.0016 For the next 2 questions suppose income remains at $10,000 but the price of the related good increases to $60 and Conlan decides to raise the price of its product to $50. -At the prices and income given above, Conlan can expect to sell _________units.

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Refer to the following: The estimated demand for a good is Q^=4,80016P0.65M1.5PR\hat { Q } = 4,800 - 16 P - 0.65 M - 1.5 P _ { R } where Q is the quantity demanded of the good, P is the price of the good, M is income, and PRP _ { R } is the price of related good R. -If income decreases by $2,000, all else constant, quantity demanded will ________ by _________ units.

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Refer to the following: A consulting firm estimates the following quarterly sales forecasting model: Qt=a+bt+cDQ _ { t } = a + b t + c D The equation is estimated using quarterly data from 2003I-2013III (t = 1,..., 43). The variable D is a dummy variable for the second quarter where: D = 1 in the second quarter, and 0 otherwise. The results of the estimation are: DEPENDENT VARIABLE: QT R-SQUARE F-RATIO P-VALUE ONF OBSERVATIONS: 43 0.8644 127.5 0.0001 VARIABLE PARAMETER STANDARD ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 22.5 9.32 2.41 0.0201 T 1.86 0.55 3.38 0.0016 D 2.0 0.71 2.82 0.0075 -At the 1 percent level of significance, is there a statistically significant trend in sales?

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Refer to the following: A consulting firm estimates the following quarterly sales forecasting model: Qt=a+bt+cDQ _ { t } = a + b t + c D The equation is estimated using quarterly data from 2003I-2013III (t = 1,..., 43). The variable D is a dummy variable for the second quarter where: D = 1 in the second quarter, and 0 otherwise. The results of the estimation are: DEPENDENT VARIABLE: QT R-SQUARE F-RATIO P-VALUE ONF OBSERVATIONS: 43 0.8644 127.5 0.0001 VARIABLE PARAMETER STANDARD ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 22.5 9.32 2.41 0.0201 T 1.86 0.55 3.38 0.0016 D 2.0 0.71 2.82 0.0075 -What is the estimated intercept of the trend line in the third quarter?

(Multiple Choice)
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Refer to the following: The following linear demand specification is estimated for Conlan Enterprises, a price-setting firm: Q=a+bP+cM+dPRQ = a + b P + c M + d P _ { R } where Q is the quantity demanded of the product Conlan Enterprises sells, P is the price of that product, M is income, and PRP _ { R } is the price of a related product. The results of the estimation are presented below: DEPENDENT VARIABLE: Q R-SQUARE F-RATIO P-VALUEONF OBSERVATIONS: 32 0.7984 36.14 0.0001 VARIABLE PARAMETER STANDARD ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 846.30 76.70 11.03 0.0001 P -8.60 2.60 -3.31 0.0026 M 0.0184 0.0048 3.83 0.0007 PR -4.3075 1.230 -3.50 0.0016 Assume that the income is $10,000, the price of the related good is $40, and Conlan chooses to set the price of this product at $30. -At the prices and income given above, what is the income elasticity?

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Refer to the following: The estimated demand for a good is Q^=255P+0.32M+12PR\hat { Q } = 25 - 5 P + 0.32 M + 12 P _ { R } where Q is the quantity demanded of the good, P is the price of the good, M is income, and PRP _ { R } is the price of related good R. -The good and the related good R are

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