Corporate triple-A bond interest rates for 12 consecutive months follow. 9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6 (1)Develop three-month moving averages for this time series. (2)Compute MSE. (3)Forecast month 13.
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- corporate triple-a bond interest rates for 12 consecutive months follow.9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6a. construct a time series plot. What type of pattern exists in the data?b. develop three-month and four-month moving averages for this time series. does thethree-month or four-month moving average provide more accurate forecasts basedon MSe? explain.corporate triple-a bond interest rates for 12 consecutive months follow.9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6a. construct a time series plot. What type of pattern exists in the data?b. develop three-month and four-month moving averages for this time series. does thethree-month or four-month moving average provide more accurate forecasts basedon MSe? explain.c. What is the moving average forecast for the next month?The time-series component that exhibits fluctuations over many years above and below the trend is _______. Multiple Choice irregular cycles seasonality autocorrelation
- Corporate triple A bond interest rates for 12 consecutive months follow.9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6a. Construct a time series plot. What type of pattern exists in the data?b. Develop three-month and four-month moving averages for this time series. Does thethree-month or the four-month moving average provide the better forecasts based onMSE? Explain.c. What is the moving average forecast for the next month?The elevation of a lake surface (feet above sea level) varies according to the annual flow of a river that feeds it. A geological survey provided the following data from equally spaced intervals of time over a 15 year period. Time Period Elevation 1 4817 2 4819 3 4824 4 4822 5 4826 6 4831 7 4836 8 4837 9 4839 10 4837 11 4832 12 4827 13 4823 14 4818 15 4817 Make a time-series graph displaying the data.Coca-Cola Revenues ($ millions), 2014 to 2019 Quarter 2014 2015 2016 2017 2018 2019 Quarter 1 10.58 9.94 10.28 9.12 7.63 8.02 Quarter 2 12.57 11.63 11.54 9.70 9.42 10.00 Quarter 3 11.98 11.77 10.63 9.08 8.78 9.51 Quarter4 10.87 10.13 9.41 7.51 5.36 9.07 What is the trend model for the deseasonalized time series? (Round your answers to 2 decimal places.) State the model found when performing a regression using seasonal binaries. (A negative value should be indicated by a minus sign. Round your answers to 4 decimal places.) Use the regression equation to make a prediction for each quarter in 2020. (Enter your answers in millions rounded to 3 decimal places.)
- Companies are devoting time and energy to promote recycling. A major recycling company found some old documents that present the recorded amount of cell phone collected over a span of eight years. Year Cellular Telephones Collected (in millions) 2009 2.2 2010 2.6 2011 2.9 2012 3.4 2013 3.1 2014 4.2 2015 4.9 2016 5.3 Part a) Develop a time series plot with Year on the X axis and Cellular Telephones Collected on the Y axis. Part b) Does there appear to be a relationship between time and cellular telephones collected?2.37 Portfolio return: A portfolio's value increases by 19% during a financial boom and by 7% during normal times. It decreases by 11% during a recession. What is the expected return on this portfolio if each scenario is equally likely? % (round to the nearest whole percent)A statistical program is recommended. The quarterly sales data (number of copies sold) for a college textbook over the past three years follow. Quarter Year 1 Year 2 Year 3 1 1,690 1,800 1,860 2 950 910 1,110 3 2,625 2,910 2,940 4 2,510 2,370 2,615 (a) Construct a time series plot. What type of pattern exists in the data? There appears be a downward linear trend but no seasonal pattern in the data.There appears to be a seasonal pattern in the data and perhaps a moderate upward linear trend. There appears be an upward linear trend but no seasonal pattern in the data.There appears to be a seasonal pattern in the data and perhaps a moderate downward linear trend. (b) Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to the nearest integer.) Qrt1 = 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3 = 1 if quarter 3, 0 otherwise t =…
- Recurrent upward and downward movements in a time series are called_________________. a. Secular Trend b. Irregular Variations c. Cyclical Variations d. Seasonal Variationsgroup of observations measured at successive time intervals is known as a(n) _____. a. forecast b. trend component c. additive time series model d. time seriesA statistical program is recommended. The quarterly sales data (number of copies sold) for a college textbook over the past three years follow. Quarter Year 1 Year 2 Year 3 1 1,690 1,800 1,850 2 940 900 1,100 3 2,625 2,900 2,930 4 2,500 2,360 2,615 (a) Construct a time series plot. What type of pattern exists in the data? There appears be an upward linear trend but no seasonal pattern in the data. There appears be a downward linear trend but no seasonal pattern in the data. There appears to be a seasonal pattern in the data and perhaps a moderate downward linear trend. There appears to be a seasonal pattern in the data and perhaps a moderate upward linear trend. (b) Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to the nearest integer.) Qrt1 = 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3 = 1 if quarter 3, 0 otherwise t = { } (c) Using…