(a) Using a weight of for the most recent observation, for the second most recent observation, and for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.)
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- Consider the following time series data: Using the naïve method (most recent value) as the forecast for the next week, compute thefollowing measures of forecast accuracy:a. Mean absolute errorb. Mean squared errorc. Mean absolute percentage errord. What is the forecast for week 7?5Consider the following time series data: Month 1 2 3 4 5 6 7 Value 24 12 20 11 19 24 16 (a) Compute MSE using the most recent value as the forecast for the next period. If required, round your answer to one decimal place. What is the forecast for month 8? If required, round your answer to one decimal place. Do not round intermediate calculation. (b) Compute MSE using the average of all the data available as the forecast for the next period. If required, round your answer to one decimal place. Do not round intermediate calculation. What is the forecast for month 8? If required, round your answer to one decimal place. (c) Which method appears to provide the better forecast? All Data average or Naiive
- Consider the following time series data. Week 1 2 3 4 5 6 Value 17 13 17 10 18 15 Using the naive method (most recent value) as the forecast for the next week, compute the following measures of forecast accuracy. (a) mean absolute error MAE= (b) mean squared error MSE= (c) mean absolute percentage error (Round your answer to two decimal places.) MAPE= % (d) What is the forecast for week 7? Need Help? Read It Watch It Type here to search W L3 72°F B N MConsider the following time series data: Month 1 2 3 4 5 6 7 Value 25 13 19 11 19 23 16 (a) Compute MSE using the most recent value as the forecast for the next period. If required, round your answer to one decimal place. (b) Compute MSE using the average of all the data available as the forecast for the next period. If required, round your answer to one decimal place. Do not round intermediate calculation. What is the forecast for month 8? If required, round your answer to one decimal place.QUESTION Samuel is a butchery vendor at a local open market. His daily income and the number of hours worked for the first ten days after the lockdown period is shown below: Day Income (N$) Number of hours 1 800 6 2 900 8 3 600 4 4 1200 5 5 1400 9 6 2000 9 7 1400 8 8 900 6 9 1300 7 10 1400 8 REQUIRED TO; determine whether it is the data time series or cross sectional? Motivate the reason. Calculate and interpret the following descriptive measures for the random variable Income: Mean Median Mode 33rd percentile Interquartile range 3. Calculate and interpret the covariance between the random variables Income and Number of hours worked. 4. Calculate and interpret the correlation coefficient between the random…
- 4 a. )Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.Consider the following time series data. Month 1. 3 4 5 7 Value 20 11 19 11 19 22 15 Round your answers to two decimal places. a. Compute MSE using the most recent value as the forecast for the next period. Mean squared error is What is the forecast for month 8? b. Compute MSE using the average of all data available as the forecast for the next period. Mean squared error is What is the forecast for month 8? c. Which method appears to provide the better forecast? - Select your answer -Consider the following quarterly time series. Quarter 1 2 3 4 Year 1 923 Year 2 1,112 1,056 1,156 992 Year 3 1,078 1,243 1,124 1,124 1,254 1,301 1,198 a. Construct a time series plot. What type of pattern exists in the data? b. Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. c. Compute the quarterly forecasts for next year based on the model developed in part b.
- Refer to the gasoline sales time series data in the given table. Compute four-week and five-week moving averages for the time series. Round your answers to two decimal places. Compute the MSE for the four-week and five-week moving average forecasts. Round your intermediate calculations and final answers to two decimal places. What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? Recall that MSE for the three-week moving average is 12.89.Consider the following time series data. Month 1 2 3 4 5 6 7 Value 25 14 21 13 20 24 16 (a) Construct a time series plot. -A time series plot contains a series of 7 points connected by line segments. The horizontal axis ranges from 0 to 8 and is labeled: Month. The vertical axis ranges from 0 to 30 and is labeled: Time Series Value. The points are plotted from left to right at regular increments of 1 month starting at month 1. The points appear to vary randomly between 8 to 20 on the vertical axis. The plot reaches its maximum time series value at month 1. -A time series plot contains a series of 7 points connected by line segments. The horizontal axis ranges from 0 to 8 and is labeled: Month. The vertical axis ranges from 0 to 30 and is labeled: Time Series Value. The points are plotted from left to right at regular increments of 1 month starting at month 1. The points appear to vary randomly between 8 to 20 on the vertical axis. The plot reaches its maximum time…c) Following three forecasting techniques were used to predict the value of a time series. These are given in the following table. Forecasting Value F Technique 2 Actual value yt Technique 1 Technique 3 17 21 22 19 27 24 20 24 29 26 25 28 28 32 38 31 31 35 30 39 For each, calculate the mean absolute deviations (MAD) and sum of squares for forecast error (SSFE) to determine which was most accurate.