Use the data given below to answer the following question(s). The worldwide sales of cars from 1981-1990 are shown in the table below.Given: α = 0.2 and β = 0.15 (Hint: Use XLMiner) \(\begin{array}{|c|c|} \hline \text { Year } & \begin{array}{c} \text { Units sold in } \\ \text { thousands } \end{array} \\ \hline 1981 & 888 \\ \hline 1982 & 900 \\ \hline 1983 & 1000 \\ \hline 1984 & 1200 \\ \hline 1985 & 1100 \\ \hline 1986 & 1300 \\ \hline 1987 & 1250 \\ \hline 1988 & 1150 \\ \hline 1989 & 1100 \\ \hline 1990 & 1200 \\ \hline \end{array}\) -Which of the following equations is the trend line equation for the given data?

A) 60.123x + 481.56 B) 48.16x + 481.86 C) 32.17x + 931.87 D) 57.15x + 503.81 A) 60.123x + 481.56 B) 48.16x + 481.86 C) 32.17x + 931.87 D) 57.15x + 503.81 C

Use the data shown below to answer the following question(s). The table below is the data set of the Shiller Real Home Price Index for the years 1946-1956. \(\begin{array}{c|c} \text { Year } & \begin{array}{c} \text { Real Home Price } \\ \text { Index } \end{array} \\ \hline 1946 & 106.5058955 \\ \hline 1947 & 109.3296707 \\ \hline 1948 & 101.2225795 \\ \hline 1949 & 100.0466076 \\ \hline 1950 & 105.8948393 \\ \hline 1951 & 103.8986687 \\ \hline 1952 & 103.9743275 \\ \hline 1953 & 114.7133093 \\ \hline 1954 & 114.199126 \\ \hline 1955 & 115.4621261 \\ \hline 1956 & 115.3166155 \end{array}\) -Setting k = 3, determine the value of root mean square of errors.

@#IMG-DLM& MSE = @#LAT-DLM& = @#LAT-DLM& = 25.95

Use the data given below to answer the following question(s). The table below provides the sales data for JD Inc.for the year 1998.Given: α = 0.2, β = 0.15, and γ = 0.05 (Hint: Classify the data into quarters for the following question(s).) \(\begin{array}{l} \text { Umbrella Sales of JD Inc. }\\ \begin{array}{|c|c|c|} \hline \text { Year } & \text { Month } & \text { Units } \\ \hline 1 & \text { Jan } & 3980 \\ \hline 1 & \text { Feb } & 4000 \\ \hline 1 & \text { Mar } & 4740 \\ \hline 1 & \text { April } & 4720 \\ \hline 1 & \text { May } & 4920 \\ \hline 1 & \text { Jun } & 5140 \\ \hline 1 & \text { July } & 4640 \\ \hline 1 & \text { Aug } & 4520 \\ \hline 1 & \text { Sep } & 4480 \\ \hline 1 & \text { Oct } & 4690 \\ \hline 1 & \text { Nov } & 4210 \\ \hline 1 & \text { Dec } & 4418 \\ \hline \end{array} \end{array}\) -What will be the predicted sales for umbrellas for the month of February of the next quarter?

A) 4530.19 B) 4645.06 C) 4883.76 D) 4818.07 A) 4530.19 B) 4645.06 C) 4883.76 D) 4818.07

Use the data given below to answer the following question(s). The worldwide sales of cars from 1981-1990 are shown in the table below.Given: α = 0.2 and β = 0.15 (Hint: Use XLMiner) \(\begin{array}{|c|c|} \hline \text { Year } & \begin{array}{c} \text { Units sold in } \\ \text { thousands } \end{array} \\ \hline 1981 & 888 \\ \hline 1982 & 900 \\ \hline 1983 & 1000 \\ \hline 1984 & 1200 \\ \hline 1985 & 1100 \\ \hline 1986 & 1300 \\ \hline 1987 & 1250 \\ \hline 1988 & 1150 \\ \hline 1989 & 1100 \\ \hline 1990 & 1200 \\ \hline \end{array}\) -Using the double exponential smoothing, calculate the value of the mean absolute deviation for the given data.

A) 8.10 B) 1.80 C) 91.27 D) 11976.17 A) 8.10 B) 1.80 C) 91.27 D) 11976.17

Use the data given below to answer the following question(s). The table below provides the sales data for JD Inc.for the year 1998.Given: α = 0.2, β = 0.15, and γ = 0.05 (Hint: Classify the data into quarters for the following question(s).) \(\begin{array}{l} \text { Umbrella Sales of JD Inc. }\\ \begin{array}{|c|c|c|} \hline \text { Year } & \text { Month } & \text { Units } \\ \hline 1 & \text { Jan } & 3980 \\ \hline 1 & \text { Feb } & 4000 \\ \hline 1 & \text { Mar } & 4740 \\ \hline 1 & \text { April } & 4720 \\ \hline 1 & \text { May } & 4920 \\ \hline 1 & \text { Jun } & 5140 \\ \hline 1 & \text { July } & 4640 \\ \hline 1 & \text { Aug } & 4520 \\ \hline 1 & \text { Sep } & 4480 \\ \hline 1 & \text { Oct } & 4690 \\ \hline 1 & \text { Nov } & 4210 \\ \hline 1 & \text { Dec } & 4418 \\ \hline \end{array} \end{array}\) -Using an appropriate Holt-Winters trend model, calculate the value of the mean absolute percentage error for the given data.

A) 8.10 B) 330.01 C) 384.83 D) 7.21 A) 8.10 B) 330.01 C) 384.83 D) 7.21

Use the data given below to answer the following question(s). The table below provides the sales data for JD Inc.for the year 1998.Given: α = 0.2, β = 0.15, and γ = 0.05 (Hint: Classify the data into quarters for the following question(s).) \(\begin{array}{l} \text { Umbrella Sales of JD Inc. }\\ \begin{array}{|c|c|c|} \hline \text { Year } & \text { Month } & \text { Units } \\ \hline 1 & \text { Jan } & 3980 \\ \hline 1 & \text { Feb } & 4000 \\ \hline 1 & \text { Mar } & 4740 \\ \hline 1 & \text { April } & 4720 \\ \hline 1 & \text { May } & 4920 \\ \hline 1 & \text { Jun } & 5140 \\ \hline 1 & \text { July } & 4640 \\ \hline 1 & \text { Aug } & 4520 \\ \hline 1 & \text { Sep } & 4480 \\ \hline 1 & \text { Oct } & 4690 \\ \hline 1 & \text { Nov } & 4210 \\ \hline 1 & \text { Dec } & 4418 \\ \hline \end{array} \end{array}\) -Calculate the value of the mean square error using an appropriate Holt-Winters trend model for the given data.

A) 8.10 B) 346.26 C) 148092.89 D) 7.62 A) 8.10 B) 346.26 C) 148092.89 D) 7.62

Use the data given below to answer the following question(s). The worldwide sales of cars from 1981-1990 are shown in the table below.Given: α = 0.2 and γ = 0.05.(Hint: Use XLMiner). \(\begin{array}{|c|c|} \hline \text { Year } & \begin{array}{c} \text { Units sold in } \\ \text { thousands } \end{array} \\ \hline 1 & 750 \\ \hline 2 & 823 \\ \hline 3 & 1034 \\ \hline 4 & 1945 \\ \hline 5 & 1556 \\ \hline 6 & 1300 \\ \hline 7 & 1346 \\ \hline 8 & 1150 \\ \hline 9 & 967 \\ \hline 10 & 1200 \\ \hline \end{array}\) -If the given time series has a trend and seasonality, the most appropriate forecasting model to determine the forecast of the time series is the ________ model.

A) multiple regression B) Holt-Winters no trend smoothing C) double exponential smoothing D) Holt-Winters multiplicative A) multiple regression B) Holt-Winters no trend smoothing C) double exponential smoothing D) Holt-Winters multiplicative

Use the data given below to answer the following question(s). The worldwide sales of cars from 1981-1990 are shown in the table below.Given: α = 0.2 and γ = 0.05.(Hint: Use XLMiner). \(\begin{array}{|c|c|} \hline \text { Year } & \begin{array}{c} \text { Units sold in } \\ \text { thousands } \end{array} \\ \hline 1 & 750 \\ \hline 2 & 823 \\ \hline 3 & 1034 \\ \hline 4 & 1945 \\ \hline 5 & 1556 \\ \hline 6 & 1300 \\ \hline 7 & 1346 \\ \hline 8 & 1150 \\ \hline 9 & 967 \\ \hline 10 & 1200 \\ \hline \end{array}\) -Calculate the value of the mean absolute percentage error using the Holt-Winters no-trend model for the given data.

A) 8.10 B) 18.39 C) 21.70 D) 10.97 A) 8.10 B) 18.39 C) 21.70 D) 10.97

Use the data given below to answer the following question(s). The worldwide sales of cars from 1981-1990 are shown in the table below.Given: α = 0.2 and γ = 0.05.(Hint: Use XLMiner). \(\begin{array}{|c|c|} \hline \text { Year } & \begin{array}{c} \text { Units sold in } \\ \text { thousands } \end{array} \\ \hline 1 & 750 \\ \hline 2 & 823 \\ \hline 3 & 1034 \\ \hline 4 & 1945 \\ \hline 5 & 1556 \\ \hline 6 & 1300 \\ \hline 7 & 1346 \\ \hline 8 & 1150 \\ \hline 9 & 967 \\ \hline 10 & 1200 \\ \hline \end{array}\) -If the given time series has no trend and no seasonality, the most appropriate forecasting model to determine the forecast of the time series is the ________ model.

A) single moving average B) Holt-Winters no-trend smoothing C) double exponential smoothing D) Holt-Winters additive A) single moving average B) Holt-Winters no-trend smoothing C) double exponential smoothing D) Holt-Winters additive