Month t 1 α = 2 3 4 5 6 7 8 9 10 11 0.2 to compute the exponential smoothing values for the time series. (Round your answers to four decimal places.) 12 Time Series Value Yt 105 135 120 105 90 120 145 140 100 80 100 110 Forecast Ft 00000000000 (c) Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.
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- The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Find a 99% CI for β1.The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Test for significance of regression using α=0.01 (Use ANOVA). Calculate the r2 of the model. Find a 99% CI for .The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual. Test for significance of regression using α=0.01 (Use ANOVA). Calculate the r2 of the model. Find a 99% CI for .
- Find out the next month after april income by using the forecasting method of the moving average methodThe following sumThe table shows the U.S. population and the number of Americans over age 65 at 10-year intervals since 1940 (about when the Social Security program was created). YEAR 1940 1950 1960 1970 1980 1990 2000 2010 U.S. Population (millions) 132 151 179 203 227 249 281 309 Americans over age 65 (millions) 9.0 12.7 17.2 20.9 26.1 31.9 34.9 40.4 a) What is the percentage increase in the U.S. population between 1940 and 2010? b) What is the percentage increase in the over-65 population between 1940 and 2010? c) In 2010, there were approximately 165 million Americans of working age (25-65). Estimate (Assume ½ of this population is working), the number of people who were actually working and contributing to Social Security in 2010. Compare this number to the over-65 population. d) How do these results affect the future of programs such as Social Security and Medicare? PART 2 – Growth: Linear versus Exponential Lab 5. Based on information in Deep River Jim’s…
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