Exam 7: Demand Estimation and Forecasting

A forecaster used the regression equation $Q _ { t } = a + b t + c _ { 1 } D _ { 1 } + c _ { 2 } D _ { 2 } + c _ { 3 } D _ { 3 }$ and quarterly sales data for 2004I-2021IV (t = 1,...,64)for an appliance manufacturer to obtain the results shown below.Q is quarterly sales,and $D _ { 1 } , D _ { 2 }$ and $D _ { 3 }$ are dummy variables for quarters I,II,and III. Using the estimation results given above,the predicted level of sales in 2022IV is _______ units.

A forecaster used the regression equation $Q _ { t } = a + b t + c _ { 1 } D _ { 1 } + c _ { 2 } D _ { 2 } + c _ { 3 } D _ { 3 }$ and quarterly sales data for 2004I-2021IV (t = 1,...,64)for an appliance manufacturer to obtain the results shown below.Q is quarterly sales,and $D _ { 1 } , D _ { 2 }$ and $D _ { 3 }$ are dummy variables for quarters I,II,and III. Using the estimation results given above,the predicted level of sales in 2022II is _______ units.

A forecaster used the regression equation $Q _ { t } = a + b t + c _ { 1 } D _ { 1 } + c _ { 2 } D _ { 2 } + c _ { 3 } D _ { 3 }$ and quarterly sales data for 2004I-2021IV (t = 1,...,64)for an appliance manufacturer to obtain the results shown below.Q is quarterly sales,and $D _ { 1 } , D _ { 2 }$ and $D _ { 3 }$ are dummy variables for quarters I,II,and III. Using the estimation results given above,the predicted level of sales in 2022III is _______ units.

The estimated demand for a good is $\hat { Q } = 4,800 - 16 P - 0.65 M - 1.5 P _ { R }$ where Q is the quantity demanded of the good,P is the price of the good,M is income,and $P _ { R }$ is the price of related good R.The good is

A consulting firm estimates the following quarterly sales forecasting model: $Q _ { t } = a + b t + c D$ The equation is estimated using quarterly data from 20010I-2020III (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: Given the above,at the 1 percent level of significance,is there a statistically significant trend in sales?