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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 coefficient of Q<sub>3</sub> (0.098) in the regression equation is A) the revenues in the third quarter of a year is approximately 9.8% higher than the average over all 4 quarters. B) the revenues in the third quarter of a year is approximately 9.8% higher than it would be during the fourth quarter. C) the revenues in the third quarter of a year is approximately 25.31% higher than the average over all 4 quarters. D) the revenues in the third quarter of a year is approximately 25.31% higher than it would be during the fourth quarter. = 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 coefficient of Q<sub>3</sub> (0.098) in the regression equation is A) the revenues in the third quarter of a year is approximately 9.8% higher than the average over all 4 quarters. B) the revenues in the third quarter of a year is approximately 9.8% higher than it would be during the fourth quarter. C) the revenues in the third quarter of a year is approximately 25.31% higher than the average over all 4 quarters. D) the revenues in the third quarter of a year is approximately 25.31% higher than it would be during the fourth quarter. 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 coefficient of Q<sub>3</sub> (0.098) in the regression equation is A) the revenues in the third quarter of a year is approximately 9.8% higher than the average over all 4 quarters. B) the revenues in the third quarter of a year is approximately 9.8% higher than it would be during the fourth quarter. C) the revenues in the third quarter of a year is approximately 25.31% higher than the average over all 4 quarters. D) the revenues in the third quarter of a year is approximately 25.31% higher than it would be during the fourth quarter. 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 coefficient of Q3 (0.098) in the regression equation is

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Definitions:

Selling Price

The amount at which a product or service is sold to customers, often determined by costs, market demand, and competition.

Investment

The process of distributing assets, often funds, in anticipation of earning revenue or profit.

Desired Return

The specific amount of profit a company aims to achieve on its investment or project, often expressed as a percentage.

Target Cost

The market-driven price that a product must meet or go below, after subtracting the desired profit margin, to remain competitive.

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