Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, aver the past 12 weeks. Sales (1.000s of gallons) Week 16 2 20 18 22 17 6 15 20 18 22 10 20 11 15 12 22 (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.) Time Series Value Weighted Moving Average Forecast Week 16 20 3 18 4 22 20 17 19 Jx O 15 20 18 22 10 20 11 15 4 12 22 (b) Compute the MSE for the weighted moving average in part (a). MSE Do you prefer this weighted moving average to the unweighted moving average? The MSE for the unweighted moving average is 10.91. O The unweighted moving average is preferred because it has a larger MSE compared to the weighted moving average. O The weighted moving average is preferred because it has a smaller MSE compared to the uriweighted moving average. O The weighted moving average is preferred because it has a larger MSE compared to the unweighted moving average. t hecause it has O The unvoeinhted moocing averane is preferred beca a smaler MCF comnarnd to the weinhted movieg average

Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, aver the past 12 weeks. Sales (1.000s of gallons) Week 16 2 20 18 22 17 6 15 20 18 22 10 20 11 15 12 22 (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.) Time Series Value Weighted Moving Average Forecast Week 16 20 3 18 4 22 20 17 19 Jx O 15 20 18 22 10 20 11 15 4 12 22 (b) Compute the MSE for the weighted moving average in part (a). MSE Do you prefer this weighted moving average to the unweighted moving average? The MSE for the unweighted moving average is 10.91. O The unweighted moving average is preferred because it has a larger MSE compared to the weighted moving average. O The weighted moving average is preferred because it has a smaller MSE compared to the uriweighted moving average. O The weighted moving average is preferred because it has a larger MSE compared to the unweighted moving average. t hecause it has O The unvoeinhted moocing averane is preferred beca a smaler MCF comnarnd to the weinhted movieg average

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. The data are weekly averages of fasting blood glucose levels (m mols) of a diabetic patient treated with different doses of insulin (units) given over a period of 32 weeks. To recognize the trend in blood glucose change, 8 weeks from the treatment duration of first 12 weeks were chosen randomly and the data are as follows: Week 4 12 7 6 9 2 11 8 Blood sugar (m/mol): 8.1 4.0 5.3 6.1 5.7 7.3 4.8 4.6 Dose/day (units): 15 55 45 30 35 25 Lost 50 Evaluate the relationships between blood sugar levels and the dose of insulin/day. Describe and interpret this relationship?
In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend. SSxx = 1303.9 SSy= 1503.0 SSy = 2660.2 Ex = 150 .1 Ey = 915 n= 16 %3D %3D 1sxs 34 36.7 s y s 90.5 Calculate the linear correlation coefficient for percent employment in STEM and annual compensation and enter your answer below accurate to two decimal places.
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 M
The semi-averages of the below given data are: Year Rainfall 1999 21 2000 11 2001 14 2002 16 2003 18 а. 16 and 24 O b. 16 and 15 С. 16 and 17 d. 16 and 12.5
Q. 14 Explain the Graphic method of trend estimation in a time series and give its merits and demerits.
Consider the following time series data. Week 1 3 4 6. Value 19 12 15 10 17 15 Using the naïve 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 (MAPE) Round your answers to two decimal places. МАЕ 3 MSE = МАРЕ - Using the average of all the historical data as a forecast for the next period, compute the same three values. Round your answers to two decimal places. МАЕ 3 MSE = МАРЕ 3 Which method appears to provide the more accurate forecasts for the historical data?
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 -
Please show me all steps.
Define on empirical way and a statistical way to choose the best forecasting model for your time series data. Consider the following situations: 1. The data has no trend or seasonality 2. The data has trend but not seasonality 3. The data presents trend and seasonality but negligible noise 4. The data presents trend, seasonality and significant noise.
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.
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 2.0% + 0.40RM + eA RB = -1.8%+ 0.9RM + eB OM = 15%; R-squareA = 0.30; R-squareB = 0.22 What is the standard deviation of each stock? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Stock A Stock B Standard Deviation % %
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