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Exhibit 18

Question 81

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Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011. Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011.   The autoregressive models of order 1 and 2,   and   ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below. Model AR(1):   Model AR(2):   Refer to Exhibit 18.7.When for AR(1),H<sub>0</sub>: β<sub>0</sub> = 0 is tested against H<sub>A</sub>: β<sub>0</sub> ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model   .might be an alternative to the AR(1)model   .Excel partial output for this simplified model is:   Find the revenue forecast for 2012 through the use of   . The autoregressive models of order 1 and 2, Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011.   The autoregressive models of order 1 and 2,   and   ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below. Model AR(1):   Model AR(2):   Refer to Exhibit 18.7.When for AR(1),H<sub>0</sub>: β<sub>0</sub> = 0 is tested against H<sub>A</sub>: β<sub>0</sub> ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model   .might be an alternative to the AR(1)model   .Excel partial output for this simplified model is:   Find the revenue forecast for 2012 through the use of   . and Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011.   The autoregressive models of order 1 and 2,   and   ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below. Model AR(1):   Model AR(2):   Refer to Exhibit 18.7.When for AR(1),H<sub>0</sub>: β<sub>0</sub> = 0 is tested against H<sub>A</sub>: β<sub>0</sub> ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model   .might be an alternative to the AR(1)model   .Excel partial output for this simplified model is:   Find the revenue forecast for 2012 through the use of   . ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below.
Model AR(1): Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011.   The autoregressive models of order 1 and 2,   and   ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below. Model AR(1):   Model AR(2):   Refer to Exhibit 18.7.When for AR(1),H<sub>0</sub>: β<sub>0</sub> = 0 is tested against H<sub>A</sub>: β<sub>0</sub> ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model   .might be an alternative to the AR(1)model   .Excel partial output for this simplified model is:   Find the revenue forecast for 2012 through the use of   . Model AR(2): Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011.   The autoregressive models of order 1 and 2,   and   ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below. Model AR(1):   Model AR(2):   Refer to Exhibit 18.7.When for AR(1),H<sub>0</sub>: β<sub>0</sub> = 0 is tested against H<sub>A</sub>: β<sub>0</sub> ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model   .might be an alternative to the AR(1)model   .Excel partial output for this simplified model is:   Find the revenue forecast for 2012 through the use of   . Refer to Exhibit 18.7.When for AR(1),H0: β0 = 0 is tested against HA: β0 ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011.   The autoregressive models of order 1 and 2,   and   ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below. Model AR(1):   Model AR(2):   Refer to Exhibit 18.7.When for AR(1),H<sub>0</sub>: β<sub>0</sub> = 0 is tested against H<sub>A</sub>: β<sub>0</sub> ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model   .might be an alternative to the AR(1)model   .Excel partial output for this simplified model is:   Find the revenue forecast for 2012 through the use of   . .might be an alternative to the AR(1)model Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011.   The autoregressive models of order 1 and 2,   and   ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below. Model AR(1):   Model AR(2):   Refer to Exhibit 18.7.When for AR(1),H<sub>0</sub>: β<sub>0</sub> = 0 is tested against H<sub>A</sub>: β<sub>0</sub> ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model   .might be an alternative to the AR(1)model   .Excel partial output for this simplified model is:   Find the revenue forecast for 2012 through the use of   . .Excel partial output for this simplified model is: Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011.   The autoregressive models of order 1 and 2,   and   ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below. Model AR(1):   Model AR(2):   Refer to Exhibit 18.7.When for AR(1),H<sub>0</sub>: β<sub>0</sub> = 0 is tested against H<sub>A</sub>: β<sub>0</sub> ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model   .might be an alternative to the AR(1)model   .Excel partial output for this simplified model is:   Find the revenue forecast for 2012 through the use of   . Find the revenue forecast for 2012 through the use of Exhibit 18.7.The following table shows the annual revenues (in millions of dollars)of a pharmaceutical company over the period 1990-2011.   The autoregressive models of order 1 and 2,   and   ,were applied on the time series to make revenue forecasts.The relevant parts of Excel regression outputs are given below. Model AR(1):   Model AR(2):   Refer to Exhibit 18.7.When for AR(1),H<sub>0</sub>: β<sub>0</sub> = 0 is tested against H<sub>A</sub>: β<sub>0</sub> ≠ 0,the p-value of this t test shown by Excel output is 0.9590.This could suggest that the model   .might be an alternative to the AR(1)model   .Excel partial output for this simplified model is:   Find the revenue forecast for 2012 through the use of   . .

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