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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,in testing the significance of the coefficient for Q<sub>1</sub> in the regression equation (-0.129) which has a p-value of 0.492.Which of the following is the best interpretation of this result? A) The revenues in the first quarter of the year are significantly different from the revenues in an average quarter (α = 0.05) . B) The revenues in the first quarter of the year are not significantly different from the revenues in an average quarter (α = 0.05) . C) The revenues in the first quarter of the year are significantly different from the revenues in the fourth quarter (α = 0.05) . D) The revenues in the first quarter of the year are not significantly different from the revenues in the fourth quarter (α = 0.05) . = 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,in testing the significance of the coefficient for Q<sub>1</sub> in the regression equation (-0.129) which has a p-value of 0.492.Which of the following is the best interpretation of this result? A) The revenues in the first quarter of the year are significantly different from the revenues in an average quarter (α = 0.05) . B) The revenues in the first quarter of the year are not significantly different from the revenues in an average quarter (α = 0.05) . C) The revenues in the first quarter of the year are significantly different from the revenues in the fourth quarter (α = 0.05) . D) The revenues in the first quarter of the year are not significantly different from the revenues in the fourth quarter (α = 0.05) . 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,in testing the significance of the coefficient for Q<sub>1</sub> in the regression equation (-0.129) which has a p-value of 0.492.Which of the following is the best interpretation of this result? A) The revenues in the first quarter of the year are significantly different from the revenues in an average quarter (α = 0.05) . B) The revenues in the first quarter of the year are not significantly different from the revenues in an average quarter (α = 0.05) . C) The revenues in the first quarter of the year are significantly different from the revenues in the fourth quarter (α = 0.05) . D) The revenues in the first quarter of the year are not significantly different from the revenues in the fourth quarter (α = 0.05) . is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise
-Referring to Table 16-12,in testing the significance of the coefficient for Q1 in the regression equation (-0.129) which has a p-value of 0.492.Which of the following is the best interpretation of this result?


Definitions:

Profit-maximizing

The process by which a firm determines the price and output level that returns the greatest profit.

Selling Price

The amount of money for which a product or service is sold to customers.

Wage Rate

The standard amount of compensation given to employees for their labor, usually expressed per hour or per unit of work done.

Marginal Wage Cost

The additional cost incurred by hiring one more unit of labor, reflecting the change in total wage expenses.

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