Deck 15: Forecasting

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Seasonal patterns are observed only during the four seasons - winter, spring, summer, and fall.
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Time series is a category of statistical techniques that uses historical data to predict future behavior.
Question
Shorter-period moving averages react more slowly to recent demand changes than do longer-period moving averages.
Question
Adjusted exponential smoothing is an exponential smoothing forecast adjusted for seasonality.
Question
Moving averages are good for stable demand with no pronounced behavioral patterns.
Question
The basic types of forecasting methods include time series, regression, and qualitative methods.
Question
Longer-period moving averages react more slowly to recent demand changes than do shorter-period moving averages.
Question
Regression methods attempt to develop a mathematical relationship between the item being forecast and factors that cause it to behave the way it does.
Question
Random variations are movements that are not predictable and follow no pattern.
Question
Time series methods assume that what has occurred in the past will continue to occur in the future.
Question
A trend is a gradual, long-term, up-or-down movement of demand.
Question
Irregular variations exhibit no pattern.
Question
Qualitative methods use management judgment, expertise, and opinion to make forecasts.
Question
Technological forecasting helps determine the technological feasibility of new products by surveying large numbers of consumers.
Question
In a weighted moving average, weights must sum to 1.
Question
The Delphi method develops a consensus forecast about what will occur in the future.
Question
A seasonal pattern is an up-and-down repetitive movement within a trend occurring periodically.
Question
Qualitative methods are the least common type of forecasting method for the long-term strategic planning process.
Question
A cycle is an up-or-down movement in demand that repeats itself in less than 1 year.
Question
Data cannot exhibit both trend and cyclical patterns.
Question
If average forecast error is positive, it indicates that the forecast is biased high.
Question
A(n) ________ is an up-and-down repetitive movement within a trend occurring periodically.
Question
Daily operations are assisted by ________-range forecasting
Question
In the regression equation y=a+bx, the slope of the equation is x.
Question
The dependent variable in linear regression is usually designated as the x variable.
Question
Regression is used to relate one variable to one or more variables.
Question
A(n) ________ forecast typically encompass a period longer than one year.
Question
One problem with multiple regression is ________, which is a measure of the amount of "overlapping" information about the dependent variable that's provided by several independent variables.
Question
Knowledgeable individuals bring their opinions to bear in ________, a qualitative method of forecasting.
Question
A long-term wave in a demand pattern that undulates gracefully over a period of greater than a year is a(n) ________.
Question
The major types of forecasting methods are ________, ________, and ________.
Question
Exponential smoothing forecasts are more sensitive or reactive to the changes in demand as the value of the smoothing constant, α, ________.
Question
A(n) ________ forecast encompasses the immediate future, is concerned with daily activities of the firm and does not go beyond one or two months in to the future.
Question
________ relates demand to two or more independent variables.
Question
Correlation measures the strength of relationship between the x and y variables and the closer it is to 1 or -1, the greater the proof that the level of x determines the level of y.
Question
________ error is the sum of the forecast errors.
Question
Unpredictable movements in demand that follow no pattern are ________.
Question
The coefficient of determination provides a measure of how the level of the independent variable in a regression equation explains the level of the dependent variable in the equation.
Question
________ is a gradual, long-term, upward or downward movement of demand.
Question
The closer the value of α is to zero, the ________ will be the dampening or smoothing effect.
Question
Daily highs in Sacramento for the past week (from least to most recent) were:
95, 102, 101, 96, 95, 90 and 92. Develop a forecast for today using a 2-day moving average.
Question
Using the exponential smoothing factor 0.3, how many check-ins can be forecasted for January? Assume the forecast for December was 122 rooms.
Question
Longer-period moving averages react more ________ to recent demand changes than do shorter period moving averages.
Question
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 5-period moving average for period 6.<div style=padding-top: 35px>
Compute a 5-period moving average for period 6.
Question
The ________ is the sum of the absolute value of forecasting errors divided by the number of periods in which a forecast was made.
Question
MAPD measures ________.
Question
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 3-period moving average for period 6.<div style=padding-top: 35px>
Compute a 3-period moving average for period 6.
Question
Using a 3-month moving average, how many check-ins can be forecasted for January?
Question
Daily highs in Sacramento for the past week (from least to most recent) were:
95, 102, 101, 96, 95, 90 and 92. Develop a forecast for today using a 3-day moving average.
Question
________ measures the strength of the relationship between two variables.
Question
The ________ is the percentage of variation in the dependent variable that results from the independent variable.
Question
Given the following data on hotel check-ins for a 6-month period:

July:     70 rooms
August:     105 rooms
September:     90 rooms
October:     120 rooms
November:    110 rooms
December:     115 rooms



-What is the 3-month moving average forecast for January?
Question
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 3-period moving average for period 4.<div style=padding-top: 35px>
Compute a 3-period moving average for period 4.
Question
________ are the movements or fluctuation in demand that exhibit no pattern and occur on a random basis.
Question
The ________ is the average of the sum of the squared errors.
Question
________ is a type of exponential smoothing that can also include trend.
Question
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 5-period moving average for period 7.<div style=padding-top: 35px>
Compute a 5-period moving average for period 7.
Question
Daily highs in Sacramento for the past week (from least to most recent) were:
95, 102, 101, 96, 95, 90 and 92. Develop a forecast for today using a weighted moving average, with a weights of .6, .3, and .1, where the highest weights are applied to the most recent data.
Question
Given the following data on hotel check-ins for a 6-month period:

July:     70 rooms
August:     105 rooms
September:     90 rooms
October:     120 rooms
November:    110 rooms
December:     115 rooms



-With alpha = 0.2, what is the simple exponential smoothing forecast for October? Assume the forecast for July was 80 rooms.
Question
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 3-period moving average for period 7.<div style=padding-top: 35px>
Compute a 3-period moving average for period 7.
Question
The following sales data are available for 2003-2008:
The following sales data are available for 2003-2008:   Calculate the average error.<div style=padding-top: 35px>
Calculate the average error.
Question
Sally has been running the following number of ads in the local newspaper to help attract customers into her store. She has also been keeping track of customers who have come into the store as a result of the ads, as well as the amount of money they spend.
This is the data from the last 4 weeks:
Sally has been running the following number of ads in the local newspaper to help attract customers into her store. She has also been keeping track of customers who have come into the store as a result of the ads, as well as the amount of money they spend. This is the data from the last 4 weeks:   Determine the equation that relates ads and increased sales.<div style=padding-top: 35px>
Determine the equation that relates ads and increased sales.
Question
Simple exponential smoothing is being used to forecast demand. The previous forecast of 66 turned out to be four units less than actual demand. If the next forecast is 66.6, what is the value of the smoothing constant, α?
Question
Quarterly sales is given for the past 3 years. Determine the seasonal factors for each quarter.
Quarterly sales is given for the past 3 years. Determine the seasonal factors for each quarter.  <div style=padding-top: 35px>
Question
Robert has the following accounts on money spent on gambling and winnings:
 Money Spent  Money Won 100025001200400018004500200046002500500028004800350056004000600042005800\begin{array} { c c } \text { Money Spent } & \text { Money Won } \\\hline 1000 & 2500 \\1200 & 4000 \\1800 & 4500 \\2000 & 4600 \\2500 & 5000 \\2800 & 4800 \\3500 & 5600 \\4000 & 6000 \\4200 & 5800 \\\hline\end{array}

-Determine the correlation coefficient and the coefficient of determination.
Question
Sally has been running the following number of ads in the local newspaper to help attract customers into her store. She has also been keeping track of customers who have come into the store as a result of the ads, as well as the amount of money they spend.
This is the data from the last 4 weeks:
Sally has been running the following number of ads in the local newspaper to help attract customers into her store. She has also been keeping track of customers who have come into the store as a result of the ads, as well as the amount of money they spend. This is the data from the last 4 weeks:   If Sally runs 15 ads, how much will sales increase?<div style=padding-top: 35px>
If Sally runs 15 ads, how much will sales increase?
Question
Recent past demand for product ZXT is given in the following table.
Recent past demand for product ZXT is given in the following table.   Determine the forecasted demand for April and May based on adjusted exponential smoothing with α = .2, β = .3, a February forecast of 20, and T=0.<div style=padding-top: 35px>
Determine the forecasted demand for April and May based on adjusted exponential smoothing with α = .2, β = .3, a February forecast of 20, and T=0.
Question
If the forecast is 14 and the actual value is 15, then the error this period is
Question
The following data summarizes the historical demand for a product.
The following data summarizes the historical demand for a product.   Use exponential smoothing with α = .2 and a smoothed forecast for July of 32 to determine August and September's smoothed forecasts.<div style=padding-top: 35px>
Use exponential smoothing with α = .2 and a smoothed forecast for July of 32 to determine August and September's smoothed forecasts.
Question
Robert has the following accounts on money spent on gambling and winnings:
Robert has the following accounts on money spent on gambling and winnings:   Develop a regression equation that relates the money Robert spends and the money he wins.<div style=padding-top: 35px>
Develop a regression equation that relates the money Robert spends and the money he wins.
Question
Assume that the forecasted demand for 2006 is 15. Use the following data set and exponential smoothing with α = 0.4 and determine the forecasted demand for 2009. Assume that the forecasted demand for 2006 is 15. Use the following data set and exponential smoothing with α = 0.4 and determine the forecasted demand for 2009.  <div style=padding-top: 35px>
Question
Robert wants to know if there is a relation between money spent on gambling and winnings. Robert wants to know if there is a relation between money spent on gambling and winnings.   What is the coefficient of determination?<div style=padding-top: 35px>
What is the coefficient of determination?
Question
The following sales data are available for 2003-2008:  Year  Sales 20037200412200514200620200716200825\begin{array} { c c } \text { Year } & \text { Sales } \\\hline 2003 & 7 \\2004 & 12 \\2005 & 14 \\2006 & 20 \\2007 & 16 \\2008 & 25 \\\hline\end{array}
Determine a 4-year moving average forecast for 2008 and 2009.
Question
If the forecast is 33 and the actual value is 44, then the error this period is ________.
Question
Given the following data, compute the MAD for the forecast.
Year Demand Forecast
Given the following data, compute the MAD for the forecast. Year Demand Forecast  <div style=padding-top: 35px>
Question
Recent past demand for product ZXT is given in the following table.
 Month  Actual  Demand  February 20 March 22 April 33 May 35 June 31 July 48 August 41\begin{array} { | c | c | } \hline \text { Month } & \begin{array} { c } \text { Actual } \\\text { Demand }\end{array} \\\hline \text { February } & 20 \\\hline \text { March } & 22 \\\hline \text { April } & 33 \\\hline \text { May } & 35 \\\hline \text { June } & 31 \\\hline \text { July } & 48 \\\hline \text { August } & 41 \\\hline\end{array}

-Use simple exponential smoothing with alpha = .4 and determine the forecasted demand for August and September. Assume that the smoothed forecast for July is 38.
Question
If the absolute errors were calculated for 5 periods and the sum of the absolute deviation is 60, what is the value of the MAD?
Question
Recent past demand for product ZXT is given in the following table.
 Month  Actual  Demand  February 20 March 22 April 33 May 35 June 31 July 48 August 41\begin{array} { | c | c | } \hline \text { Month } & \begin{array} { c } \text { Actual } \\\text { Demand }\end{array} \\\hline \text { February } & 20 \\\hline \text { March } & 22 \\\hline \text { April } & 33 \\\hline \text { May } & 35 \\\hline \text { June } & 31 \\\hline \text { July } & 48 \\\hline \text { August } & 41 \\\hline\end{array}

-Base on a three-month weighted moving average with weights w1 = .1, w2 = .4, and w3 = .5 (most recent), determine the forecasted demand for August and September. What is the forecast error in August?
Question
If the forecast is 25 and the actual value is 25, then the error this period is ________.
Question
The following sales data are available for 2003-2008. The following sales data are available for 2003-2008.   Determine a 4-year weighted moving average forecast for 2009, where weights are W1 = .1, W2 = .2, W3 = .2 and W4 = .5.<div style=padding-top: 35px>
Determine a 4-year weighted moving average forecast for 2009, where weights are
W1 = .1, W2 = .2, W3 = .2 and W4 = .5.
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Deck 15: Forecasting
1
Seasonal patterns are observed only during the four seasons - winter, spring, summer, and fall.
False
2
Time series is a category of statistical techniques that uses historical data to predict future behavior.
True
3
Shorter-period moving averages react more slowly to recent demand changes than do longer-period moving averages.
False
4
Adjusted exponential smoothing is an exponential smoothing forecast adjusted for seasonality.
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5
Moving averages are good for stable demand with no pronounced behavioral patterns.
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6
The basic types of forecasting methods include time series, regression, and qualitative methods.
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7
Longer-period moving averages react more slowly to recent demand changes than do shorter-period moving averages.
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8
Regression methods attempt to develop a mathematical relationship between the item being forecast and factors that cause it to behave the way it does.
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9
Random variations are movements that are not predictable and follow no pattern.
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10
Time series methods assume that what has occurred in the past will continue to occur in the future.
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11
A trend is a gradual, long-term, up-or-down movement of demand.
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12
Irregular variations exhibit no pattern.
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13
Qualitative methods use management judgment, expertise, and opinion to make forecasts.
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14
Technological forecasting helps determine the technological feasibility of new products by surveying large numbers of consumers.
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15
In a weighted moving average, weights must sum to 1.
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16
The Delphi method develops a consensus forecast about what will occur in the future.
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17
A seasonal pattern is an up-and-down repetitive movement within a trend occurring periodically.
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18
Qualitative methods are the least common type of forecasting method for the long-term strategic planning process.
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19
A cycle is an up-or-down movement in demand that repeats itself in less than 1 year.
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20
Data cannot exhibit both trend and cyclical patterns.
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21
If average forecast error is positive, it indicates that the forecast is biased high.
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22
A(n) ________ is an up-and-down repetitive movement within a trend occurring periodically.
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23
Daily operations are assisted by ________-range forecasting
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24
In the regression equation y=a+bx, the slope of the equation is x.
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25
The dependent variable in linear regression is usually designated as the x variable.
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26
Regression is used to relate one variable to one or more variables.
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27
A(n) ________ forecast typically encompass a period longer than one year.
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28
One problem with multiple regression is ________, which is a measure of the amount of "overlapping" information about the dependent variable that's provided by several independent variables.
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29
Knowledgeable individuals bring their opinions to bear in ________, a qualitative method of forecasting.
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30
A long-term wave in a demand pattern that undulates gracefully over a period of greater than a year is a(n) ________.
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31
The major types of forecasting methods are ________, ________, and ________.
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32
Exponential smoothing forecasts are more sensitive or reactive to the changes in demand as the value of the smoothing constant, α, ________.
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33
A(n) ________ forecast encompasses the immediate future, is concerned with daily activities of the firm and does not go beyond one or two months in to the future.
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34
________ relates demand to two or more independent variables.
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35
Correlation measures the strength of relationship between the x and y variables and the closer it is to 1 or -1, the greater the proof that the level of x determines the level of y.
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36
________ error is the sum of the forecast errors.
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37
Unpredictable movements in demand that follow no pattern are ________.
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38
The coefficient of determination provides a measure of how the level of the independent variable in a regression equation explains the level of the dependent variable in the equation.
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39
________ is a gradual, long-term, upward or downward movement of demand.
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40
The closer the value of α is to zero, the ________ will be the dampening or smoothing effect.
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41
Daily highs in Sacramento for the past week (from least to most recent) were:
95, 102, 101, 96, 95, 90 and 92. Develop a forecast for today using a 2-day moving average.
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42
Using the exponential smoothing factor 0.3, how many check-ins can be forecasted for January? Assume the forecast for December was 122 rooms.
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43
Longer-period moving averages react more ________ to recent demand changes than do shorter period moving averages.
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44
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 5-period moving average for period 6.
Compute a 5-period moving average for period 6.
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45
The ________ is the sum of the absolute value of forecasting errors divided by the number of periods in which a forecast was made.
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46
MAPD measures ________.
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47
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 3-period moving average for period 6.
Compute a 3-period moving average for period 6.
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48
Using a 3-month moving average, how many check-ins can be forecasted for January?
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49
Daily highs in Sacramento for the past week (from least to most recent) were:
95, 102, 101, 96, 95, 90 and 92. Develop a forecast for today using a 3-day moving average.
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50
________ measures the strength of the relationship between two variables.
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51
The ________ is the percentage of variation in the dependent variable that results from the independent variable.
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52
Given the following data on hotel check-ins for a 6-month period:

July:     70 rooms
August:     105 rooms
September:     90 rooms
October:     120 rooms
November:    110 rooms
December:     115 rooms



-What is the 3-month moving average forecast for January?
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53
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 3-period moving average for period 4.
Compute a 3-period moving average for period 4.
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54
________ are the movements or fluctuation in demand that exhibit no pattern and occur on a random basis.
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55
The ________ is the average of the sum of the squared errors.
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56
________ is a type of exponential smoothing that can also include trend.
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57
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 5-period moving average for period 7.
Compute a 5-period moving average for period 7.
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58
Daily highs in Sacramento for the past week (from least to most recent) were:
95, 102, 101, 96, 95, 90 and 92. Develop a forecast for today using a weighted moving average, with a weights of .6, .3, and .1, where the highest weights are applied to the most recent data.
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59
Given the following data on hotel check-ins for a 6-month period:

July:     70 rooms
August:     105 rooms
September:     90 rooms
October:     120 rooms
November:    110 rooms
December:     115 rooms



-With alpha = 0.2, what is the simple exponential smoothing forecast for October? Assume the forecast for July was 80 rooms.
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60
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:   Compute a 3-period moving average for period 7.
Compute a 3-period moving average for period 7.
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61
The following sales data are available for 2003-2008:
The following sales data are available for 2003-2008:   Calculate the average error.
Calculate the average error.
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62
Sally has been running the following number of ads in the local newspaper to help attract customers into her store. She has also been keeping track of customers who have come into the store as a result of the ads, as well as the amount of money they spend.
This is the data from the last 4 weeks:
Sally has been running the following number of ads in the local newspaper to help attract customers into her store. She has also been keeping track of customers who have come into the store as a result of the ads, as well as the amount of money they spend. This is the data from the last 4 weeks:   Determine the equation that relates ads and increased sales.
Determine the equation that relates ads and increased sales.
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63
Simple exponential smoothing is being used to forecast demand. The previous forecast of 66 turned out to be four units less than actual demand. If the next forecast is 66.6, what is the value of the smoothing constant, α?
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64
Quarterly sales is given for the past 3 years. Determine the seasonal factors for each quarter.
Quarterly sales is given for the past 3 years. Determine the seasonal factors for each quarter.
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65
Robert has the following accounts on money spent on gambling and winnings:
 Money Spent  Money Won 100025001200400018004500200046002500500028004800350056004000600042005800\begin{array} { c c } \text { Money Spent } & \text { Money Won } \\\hline 1000 & 2500 \\1200 & 4000 \\1800 & 4500 \\2000 & 4600 \\2500 & 5000 \\2800 & 4800 \\3500 & 5600 \\4000 & 6000 \\4200 & 5800 \\\hline\end{array}

-Determine the correlation coefficient and the coefficient of determination.
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66
Sally has been running the following number of ads in the local newspaper to help attract customers into her store. She has also been keeping track of customers who have come into the store as a result of the ads, as well as the amount of money they spend.
This is the data from the last 4 weeks:
Sally has been running the following number of ads in the local newspaper to help attract customers into her store. She has also been keeping track of customers who have come into the store as a result of the ads, as well as the amount of money they spend. This is the data from the last 4 weeks:   If Sally runs 15 ads, how much will sales increase?
If Sally runs 15 ads, how much will sales increase?
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67
Recent past demand for product ZXT is given in the following table.
Recent past demand for product ZXT is given in the following table.   Determine the forecasted demand for April and May based on adjusted exponential smoothing with α = .2, β = .3, a February forecast of 20, and T=0.
Determine the forecasted demand for April and May based on adjusted exponential smoothing with α = .2, β = .3, a February forecast of 20, and T=0.
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68
If the forecast is 14 and the actual value is 15, then the error this period is
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69
The following data summarizes the historical demand for a product.
The following data summarizes the historical demand for a product.   Use exponential smoothing with α = .2 and a smoothed forecast for July of 32 to determine August and September's smoothed forecasts.
Use exponential smoothing with α = .2 and a smoothed forecast for July of 32 to determine August and September's smoothed forecasts.
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70
Robert has the following accounts on money spent on gambling and winnings:
Robert has the following accounts on money spent on gambling and winnings:   Develop a regression equation that relates the money Robert spends and the money he wins.
Develop a regression equation that relates the money Robert spends and the money he wins.
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71
Assume that the forecasted demand for 2006 is 15. Use the following data set and exponential smoothing with α = 0.4 and determine the forecasted demand for 2009. Assume that the forecasted demand for 2006 is 15. Use the following data set and exponential smoothing with α = 0.4 and determine the forecasted demand for 2009.
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72
Robert wants to know if there is a relation between money spent on gambling and winnings. Robert wants to know if there is a relation between money spent on gambling and winnings.   What is the coefficient of determination?
What is the coefficient of determination?
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73
The following sales data are available for 2003-2008:  Year  Sales 20037200412200514200620200716200825\begin{array} { c c } \text { Year } & \text { Sales } \\\hline 2003 & 7 \\2004 & 12 \\2005 & 14 \\2006 & 20 \\2007 & 16 \\2008 & 25 \\\hline\end{array}
Determine a 4-year moving average forecast for 2008 and 2009.
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74
If the forecast is 33 and the actual value is 44, then the error this period is ________.
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75
Given the following data, compute the MAD for the forecast.
Year Demand Forecast
Given the following data, compute the MAD for the forecast. Year Demand Forecast
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76
Recent past demand for product ZXT is given in the following table.
 Month  Actual  Demand  February 20 March 22 April 33 May 35 June 31 July 48 August 41\begin{array} { | c | c | } \hline \text { Month } & \begin{array} { c } \text { Actual } \\\text { Demand }\end{array} \\\hline \text { February } & 20 \\\hline \text { March } & 22 \\\hline \text { April } & 33 \\\hline \text { May } & 35 \\\hline \text { June } & 31 \\\hline \text { July } & 48 \\\hline \text { August } & 41 \\\hline\end{array}

-Use simple exponential smoothing with alpha = .4 and determine the forecasted demand for August and September. Assume that the smoothed forecast for July is 38.
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77
If the absolute errors were calculated for 5 periods and the sum of the absolute deviation is 60, what is the value of the MAD?
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78
Recent past demand for product ZXT is given in the following table.
 Month  Actual  Demand  February 20 March 22 April 33 May 35 June 31 July 48 August 41\begin{array} { | c | c | } \hline \text { Month } & \begin{array} { c } \text { Actual } \\\text { Demand }\end{array} \\\hline \text { February } & 20 \\\hline \text { March } & 22 \\\hline \text { April } & 33 \\\hline \text { May } & 35 \\\hline \text { June } & 31 \\\hline \text { July } & 48 \\\hline \text { August } & 41 \\\hline\end{array}

-Base on a three-month weighted moving average with weights w1 = .1, w2 = .4, and w3 = .5 (most recent), determine the forecasted demand for August and September. What is the forecast error in August?
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79
If the forecast is 25 and the actual value is 25, then the error this period is ________.
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80
The following sales data are available for 2003-2008. The following sales data are available for 2003-2008.   Determine a 4-year weighted moving average forecast for 2009, where weights are W1 = .1, W2 = .2, W3 = .2 and W4 = .5.
Determine a 4-year weighted moving average forecast for 2009, where weights are
W1 = .1, W2 = .2, W3 = .2 and W4 = .5.
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