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TABLE 16-12 A Local Store Developed a Multiplicative Time-Series Model to Forecast

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TABLE 16-12
A local store developed a multiplicative time-series model to forecast its revenues in future quarters,using quarterly data on its revenues during the 5-year period from 2008 to 2012.The following is the resulting regression equation:
log10
TABLE 16-12 A local store developed a multiplicative time-series model to forecast its revenues in future quarters,using quarterly data on its revenues during the 5-year period from 2008 to 2012.The following is the resulting regression equation: log<sub>10</sub> <sub> </sub>   = 6.102 + 0.012 X - 0.129 Q<sub>1</sub> - 0.054 Q<sub>2</sub> + 0.098 Q<sub>3</sub> where   is the estimated number of contracts in a quarter X is the coded quarterly value with X = 0 in the first quarter of 2008 Q<sub>1</sub> is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise Q<sub>2</sub> is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise   is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise -Referring to Table 16-12,the best interpretation of the constant 6.102 in the regression equation is A) the fitted value for the first quarter of 2008,prior to seasonal adjustment,is log<sub>10</sub>(6.102) . B) the fitted value for the first quarter of 2008,after to seasonal adjustment,is log<sub>10</sub>(6.102) . C) the fitted value for the first quarter of 2008,prior to seasonal adjustment,is 10<sup>6.102</sup>. D) the fitted value for the first quarter of 2008,after to seasonal adjustment,is 10<sup>6.102</sup>. = 6.102 + 0.012 X - 0.129 Q1 - 0.054 Q2 + 0.098 Q3
where TABLE 16-12 A local store developed a multiplicative time-series model to forecast its revenues in future quarters,using quarterly data on its revenues during the 5-year period from 2008 to 2012.The following is the resulting regression equation: log<sub>10</sub> <sub> </sub>   = 6.102 + 0.012 X - 0.129 Q<sub>1</sub> - 0.054 Q<sub>2</sub> + 0.098 Q<sub>3</sub> where   is the estimated number of contracts in a quarter X is the coded quarterly value with X = 0 in the first quarter of 2008 Q<sub>1</sub> is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise Q<sub>2</sub> is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise   is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise -Referring to Table 16-12,the best interpretation of the constant 6.102 in the regression equation is A) the fitted value for the first quarter of 2008,prior to seasonal adjustment,is log<sub>10</sub>(6.102) . B) the fitted value for the first quarter of 2008,after to seasonal adjustment,is log<sub>10</sub>(6.102) . C) the fitted value for the first quarter of 2008,prior to seasonal adjustment,is 10<sup>6.102</sup>. D) the fitted value for the first quarter of 2008,after to seasonal adjustment,is 10<sup>6.102</sup>. is the estimated number of contracts in a quarter
X is the coded quarterly value with X = 0 in the first quarter of 2008
Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise
Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise TABLE 16-12 A local store developed a multiplicative time-series model to forecast its revenues in future quarters,using quarterly data on its revenues during the 5-year period from 2008 to 2012.The following is the resulting regression equation: log<sub>10</sub> <sub> </sub>   = 6.102 + 0.012 X - 0.129 Q<sub>1</sub> - 0.054 Q<sub>2</sub> + 0.098 Q<sub>3</sub> where   is the estimated number of contracts in a quarter X is the coded quarterly value with X = 0 in the first quarter of 2008 Q<sub>1</sub> is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise Q<sub>2</sub> is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise   is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise -Referring to Table 16-12,the best interpretation of the constant 6.102 in the regression equation is A) the fitted value for the first quarter of 2008,prior to seasonal adjustment,is log<sub>10</sub>(6.102) . B) the fitted value for the first quarter of 2008,after to seasonal adjustment,is log<sub>10</sub>(6.102) . C) the fitted value for the first quarter of 2008,prior to seasonal adjustment,is 10<sup>6.102</sup>. D) the fitted value for the first quarter of 2008,after to seasonal adjustment,is 10<sup>6.102</sup>. is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise
-Referring to Table 16-12,the best interpretation of the constant 6.102 in the regression equation is


Definitions:

Perfectly Inelastic

A situation in demand where the quantity demanded does not change regardless of the price level.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, clearing the market.

Coefficient

A numerical or constant factor in a mathematical expression that multiplies the variable it is associated with.

Price Elasticity

The measure of how much the quantity demanded of a good responds to a change in the price of that good, indicating the sensitivity of demand to price changes.

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