Exam 18: Models for Time Series and Forecasting

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Cell Phones The number of peak cell-phones minutes used each month by a particular person is shown in the table below: Manth Minutas 1 74 2 86 3 70 4 96 5 111 6 102 7 115 126 -What is the linear trend equation?

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What is the purpose of using the moving average?

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Highland Automotvie The table below summarizes the number of new cars Highland Automotive sold during each of the last five weeks along with a forecast that was generated for each of those weeks. Week Number af Cars 5ald Farecast 1 24 20 2 21 22 3 25 21 4 19 23 5 34 21 -What is the mean absolute deviation for this forecast?

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In determining weekly seasonal indexes for electrical consumption,the sum of the 52 means for electrical consumption as a percentage of the moving average is 5193.To get the seasonal indexes,each monthly mean is to be multiplied by ____________________________________.

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In de-seasonalizing a time series,we remove the seasonal influences and generate a time series that is said to be seasonally adjusted.

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By analyzing a time series,we can identify patterns and tendencies that help explain variation in past sales,shipments,rainfall,or any other variable of interest.

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The following trend line was calculated from quarterly data for 1996 - 2000: Y^\hat { Y } = 0.70 + 0.005t,where t = 1 for the first quarter of 1996.The seasonal indexes computed from the trend line for the four quarters of the year 2001 were 0.85,1.05,1.15,and 0.80,respectively.What is the seasonalized forecast for the third quarter of the year 2001?

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Five trend models for the same time series data are compared and the MSE values are 35,9,15,118,and 25.The worst fitting model to the data is the one whose MSE is ____________________.

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In determining monthly seasonal indexes for gas consumption,the sum of the 12 means for gas consumption as a percentage of the moving average is 1150.To get the seasonal indexes,each of the 12 monthly means is to be multiplied by:

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The trend equation Y^\hat { Y } = 1300 + 25x has been fitted to a time series for auto industry worker days lost due to job-related injuries.If x = 1 for 1999,estimate the number of worker days lost during 2010.

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The seasonal indexes for a convention center's bookings are 85,128,104,and 83 for quarters 1 through 4,respectively.What percentage of the center's annual bookings tend to occur during the second quarter?

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How do the MAD and MSE criteria differ in their approach to evaluating the fit of an estimation equation to a time series?

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In general,the most important component of most time series is the irregular,which can be examined by using regression techniques.

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The trend equation for quarter sales data (in millions of dollars)for 1996-2000 is y^t\hat { \mathrm { y } } _ { t } = 6.8 + 1.2t,where t = 1 for the first quarter of 1996.If the seasonal index for the third quarter of 2001 is 1.25,then the forecasted sales for the third quarter of 2001 is:

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Daily sales volume from the Avalon Convenience Store is shown in the table below. Day Sales () 1 512 2 328 3 538 4 662 5 498 6 546 7 579 8 595 9 616 10 655 What is the linear trend estimate for Day 4?

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The smoothing techniques,such as moving average or exponential smoothing,function much like the shock absorbers of an automobile; damping the sudden upward and downward "jolts" that occur over the series.

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The regression output produced by MINITAB for times series set of data is shown below: The regression equation is C1=33.6+0.709C2\mathrm { C } 1 = 33.6 + 0.709 \mathrm { C } 2  The regression output produced by MINITAB for times series set of data is shown below: The regression equation is  \mathrm { C } 1 = 33.6 + 0.709 \mathrm { C } 2      s = 3.283 \quad R - s q = 53.1 \% \quad R - s q ( a d j ) = 49.7 \%  Analysis of Variance  \begin{array} { l l c r c r r r } \text { SOURCE } & \text { DF } & & \text { SS } & \text { MS } & \text { F } & p & \\ \text { Regression } & & 1 & & 170.83 & 170.83 & 15.85 & 0.001 \\ \text { Error } & 14 & & 150.92 & 10.78 & & & \\ \text { Total } & 15 & & 321.75 & & & & \end{array}  Durbin-Watson statistic  = 1.94  Test for positive autocorrelation using a 0.05 significance level. Test statistic = ____________________ Critical Value = ____________________ Conclusion: ____________________ Interpretation: __________________________________________________ s=3.283Rsq=53.1%Rsq(adj)=49.7%s = 3.283 \quad R - s q = 53.1 \% \quad R - s q ( a d j ) = 49.7 \% Analysis of Variance SOURCE DF SS MS F p Regression 1 170.83 170.83 15.85 0.001 Error 14 150.92 10.78 Total 15 321.75 Durbin-Watson statistic =1.94= 1.94 Test for positive autocorrelation using a 0.05 significance level. Test statistic = ____________________ Critical Value = ____________________ Conclusion: ____________________ Interpretation: __________________________________________________

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Susan Young Susan Young is a college student who has just completed her junior year.The table below summarizes her Grade Point Average (GPA)for each of the last nine semesters. Year Semaster CPA Freshman Fall 2.5 Winter 2.8 Spring 2.6 Sophomore Fall 2.4 Winter 3.1 Spring 2.8 Junior Fall 2.6 Winter 3.5 Spring 3.1 -What is the linear trend estimate for Susan's GPA for Spring semester Sophomore year?

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____________________ are measures intended to reflect the extent to which various parts of the year experience higher or lower levels of production,demand,or other kinds of economic activity.

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The upsurge in school supply sales in the fall of each year is an example of the:

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