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- a. In the Petroco Service Station problem, compute an exponentially smoothed forecast with an α value of .30. According to the result from Excel and/or POM-QM, the forecast for the month of August b.In the Petroco Service Station problem, for the exponentially smoothed forecast with an α value of .30, compute the mean absolute deviation (MAD) via Excel and/or POM-QM c. In the Petroco Service Station problem, compute an exponentially smoothed forecast with an α value of .50. According to the result from Excel and/or POM-QM, the forecast for the month of January would be d.In the Petroco Service Station problem, compute an exponentially smoothed forecast with an α value of .50. According to the result from Excel and/or POM-QM, the forecast for the month of AugustA researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π: Bt = a0 + a1NIt + a2Π t + ut Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π. Using a sample of 56 annual observations, s/he estimates the following equations: (1) Bt = 0.43 + 0.90NIt - 0.97Πt R21 = 0.962, SSR1 = 2.20, QRESET(F1,52) = 16.6 (3.58) (8.80) (-1.05) (2) Bt = 0.44 + 0.94Rt R22 = 0.960, SSR2 = 2.22, QRESET(F1,53) = 0.9 (9.70) (16.7) (3) Bt = 0.44 + 1.14NIt SSR3 = 9.20, QRESET(F1,53) = 59.9 (8.84) (36.1) (4) NIt = 0.08 + 0.94Πt R24 = 0.997, SSR4 = 0.18, QRESET(F1,53) = 1.4…For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83. a. Compute for a 3 month moving average forecast. b. Compute for the exponential smoothing forecast for a=0.2. c. Which provides the better forecast using MSE as the measure of model accuracy? d. What is the forecast for next month?
- Find the forecast for the month of May using the exponential smoothing methodDemand dataJan 32.1 Feb 36.2 Mar 28.0 Apr 27.5And the January Forecast was: 27Smoothing constant = 0.15b) Find the mean absolute deviation (MAD) if the actual demand for May is 30.0Members of the millennial generation are continuing to be dependent on their parents (either living with or otherwise receiving support from parents) into early adulthood. A family research organization has claimed that, in past generations, no more than 30% of individuals aged 18 to 32 continued to be dependent on their parents. Suppose that a sample of 400 individuals aged 18 to 32 showed that 136 of them continue to be dependent on their parents. In Excel b. What is your point estimate of the proportion of millennials that are continuing to be dependent on their parents? c. What is the p-value provided by the sample data?The following statement appeared on a box of Tide laundry detergent: “Individual packages of Tide may weigh slightly more or less than the marked weight due to normal variations incurred with high speed packaging machines, but each day’s production of Tide will average slightly above the marked weight.” (d) Propose procedures to collect data to test the statement.
- Pink Table, a snack shop has recorded sales for its best-selling cold drink, shown as follows: Day 1 2 3 4 5 6 7 8 9 10 Jasmine Slush (12 oz) 125 136 127 123 142 148 139 140 154 158 a. Predict the sales for Jasmine Slush using the following forecasting methods: naïve (use simple naive method, forecast this period=actual value of last period); 3-day moving average method; weighted average method using the following weights: 45%,30%,25%; exponential smoothing with smoothing constant alpha equal to 10%, assume forecast for day 1 for each of the 3 products is the sales for day1; linear trend line. b. Using the results in a), compute the error ( MSE, MAD, and MAPE) for each of the methods used. c. Which forecasting technique will you recommend fo predict the sales of Jasmine Slush Explain and support your answer quantitatively.The accompanying dataset provides data on monthly unemployment rates for a certain region over four years. Compare 3- and 12-month moving average forecasts using the MAD criterion. Which of the two models yields better results? Explain. Find the MAD for the 3-month moving average forecast. MAD=? (Type an integer or decimal rounded to three decimal places as needed.) Year Month Rate(%) 2010 Jan 7.8 2010 Feb 8.2 2010 Mar 8.8 2010 Apr 9.1 2010 May 9.5 2010 Jun 9.3 2010 Jul 9.7 2010 Aug 9.6 2010 Sep 9.8 2010 Oct 10.1 2010 Nov 9.7 2010 Dec 9.8 2011 Jan 9.7 2011 Feb 9.9 2011 Mar 9.8 2011 Apr 9.9 2011 May 9.7 2011 Jun 9.4 2011 Jul 9.4 2011 Aug 9.3 2011 Sep 9.7 2011 Oct 9.3 2011 Nov 9.9 2011 Dec 9.5 2012 Jan 9.3 2012 Feb 8.8 2012 Mar 8.7 2012 Apr 9.1 2012 May 9.2 2012 Jun 9.2 2012 Jul 9.1 2012 Aug 9.1 2012 Sep 9.1 2012 Oct 8.9 2012 Nov 8.4 2012 Dec 8.3 2013 Jan 8.4 2013 Feb 8.1 2013 Mar 8.4 2013 Apr…Is there a relationship between smoking and alcohol consumption? No Alcohol Low Alcohol Medium Alcohol High Alcohol Marginal Total Never Smokes 450 205 190 75 Smoker 425 255 170 30 Marginal Total Round each of the following to two decimal places: What is the expected frequency of people who never smoke and do not consume alcohol? What is the expected frequency of smokers who do not consume alcohol? What is the expected frequency of people who never smoke and consume high amounts of alcohol? What is the expected frequency of smokers who consume high amounts of alcohol?