The following table shows the daily receipts in millions of dollars of the movie "Avatar" for successive Fridays after its opening on Friday 18 December 2009. Weeks $Receipts 50.306 31.28 9. 16.24 6.526 15 0.98 18 0.92 21 0.335 24 0.076 27 0.044 Estimate the instantaneous rate of change of daily receipts 18 weeks after the opening day. Round to four decimal places 25 co 7
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- The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. Days $Receipts 0 152.535 14 33.111 28 14.666 42 5.587 56 2.95 70 1.567 84 0.852 98 0.397 112 0.279 126 0.518 Estimate the instantaneous rate of change of the daily receipts on day 70.Over the past 14 months,the monthly percentages of all shipments received on time are Monthy Proportion of On Time Shipments7281789083859082898185847888 What is MSE using exponential smoothing forecast for α=0.3? (keep 2 decimal points)The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. Days $Receipts 14 33.111 28 14.666 42 5.587 56 2.95 70 1.567 84 0.852 98 0.397 112 0.279 126 0.518 Find the average rate of change of the daily receipts from day 56 to day 84.
- The following table shows the daily receipts in millions of dollars of the movie "Avatar" for successive Fridays after its opening on Friday 18 December 2009. Weeks $Receipts 2 68.49 4 42.785 6 31.28 8 23.611 10 13.655 12 6.526 14 2.047 16 0.844 18 0.92 20 0.425 22 0.188 24 0.076 26 0.045 28 0.028 Estimate the instantaneous rate of change of daily receipts 14 weeks after the opening day. Round to four decimal places..Over the past 14 months,the monthly percentages of all shipments received on time are Monthy Proportion of On Tme Shipments 72 81 78 90 83 85 90 82 89 81 85 84 78 88 What is MSE using exponential smoothing forecast for α=0.3? (keep 2 decimal points)A pizza chain has had sales for take-out food over the last four evenings—Monday, Tuesday, Wednesday, and Thursday—of 29, 25, 35, and 30 pizzas, respectively.What would be their forecast for Friday using an exponential smoothing forecastingapproach? Use α = 0.2 and a forecast for Monday of 28.
- The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuingto decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?Below is a table containing data on product demand for the most recent five months along with the forecasts that had been made for those 5 previous months. Use the exponential smoothing method to forecast the number of sales to expect next month. Use the following value of alpha: 0.2. Month Demand Forecast 1 308 349.2 2 388 340.9 3 344 350.3 4 400 349.1 5 341 359.3The manager of a supermarket tracked the amount of time needed for customers to be served by the cashier. After checking with his statistics professor, he concluded that the checkout times are exponentially distributed with a mean of 5 minutes. What propotion of customers require more than 10 minutes to check out?
- For the hawkins company, the monthly percentages of all shipments received on timeover the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83.a. construct a time series plot. What type of pattern exists in the data?b. compare the three-month moving average approach with the exponential smoothing approach for a = .2. Which provides more accurate forecasts using MSe as themeasure of forecast accuracy?The following table gives profits (in ten thousands of shillings) of two supermarkets over a duration of one year. Determine which supermarket has a greater variability of its profits.According to a high-profile realtor, houses in the sleepy town of Sun Beach have shown higher appreciation over the past three years than have houses in the bustling town of North Arden. To test the realtor's claim, an economist has found eight recently sold homes in Sun Beach and eight recently sold homes in North Arden that were owned for exactly three years. The following table gives the appreciation (expressed as a percentage increase) for each of the sixteen houses. Appreciation rates in percent Sun Beach 10.2, 9.7, 12, 10.4, 7.9, 10.9, 9.6, 13.3 North Arden 7.5, 12.8, 5.9, 8.5, 8.1, 9.3, 6.3, 13.4 Assume that the two populations of appreciation rates are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that houses in Sun Beach have higher appreciation over the past three years than houses in North Arden? Perform a one-tailed test. The null hypothesis: H0:…