The following table shows daily crude oil production by Pemex, Mexico's national oil company, for 2008-2013. Year t (year since 2008) 1 3 4 5 Daily Production p(t) (million barrels) 3.16 2.97 2.95 2.94 2.91 2.92 (a) Compute the average rate of change of p(t) over the period 2008-2011. HINT [See Example 1.] (Round your answer to three decimal places.) ] million barrels/yr Interpret the result. During 2008-2011, daily oil production by Pemex was increasing. During 2008-2011, daily oil production by Pemex was constant. O During 2008-2011, daily oil production by Pemex was decreasing. (b) Which of the following is true? HINT [See Example 2.] O From 2008 to 2013 the three-year average rate of change of oil production by Pemex increased in value. From 2008 to 2013 the three-year average rate of change of oil production by Pemex decreased in value. From 2008 to 2013 the three-year average rate of change of oil production by Pemex increased then decreased in value. From 2008 to 2013 the three-year average rate of change of oil production by Pemex decreased then increased in value.

My work has been attached and the chart. Need to understand side parts D and E. D) Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change between 2025 and 2030? During which five-year period is the predicted change greater and by how much or is it the same in the two time periods? E) During what year does this function rule predict that the US emission of greenhouse gasses will decrease to 1000 million metric tons of carbon dioxide equivalents?

9+ 8 + 7+ 6 5 4 3. 2 1 2 3 Estimate, to 1 decimal place, the instantaneous rate of change at x = 2.

The following table contains the demand from the last 10 months: MONTH ACTUAL DEMAND 1 31 2 34 3 33 4 35 5 37 6 36 7 38 8 40 9 40 10 41 a. Calculate the single exponential smoothing forecast for these data using an α of 0.30 and an initial forecast ( F1�1 ) of 31. Note: Round your intermediate calculations and answers to 2 decimal places.   b. Calculate the exponential smoothing with trend forecast for these data using an α of 0.30, a δ of 0.30, an initial trend forecast ( T1�1 ) of 1, and an initial exponentially smoothed forecast ( F1�1 ) of 30. Note: Round your intermediate calculations and answers to 2 decimal places.   c-1. Calculate the mean absolute deviation (MAD) for the last nine months of forecasts. Note: Round your intermediate calculations and answers to 2 decimal places.   c-2. Which is best? multiple choice Exponential smoothing with trend forecast Single exponential smoothing forecast

1 - A simple exponential smoothing model has a current mean of 156.8. Assuming demand for next period is 170, update the value of the smoothing statistic. Let a = 0.1.   2- An electronics company has sold 145, 157, 124, 169,179, 201, 197, and 230 units of a certain stereo system quarterly for the past two years. Plot the data and fit an appropriate model. Forecast sales for the next two quarters.

Newell et al. 2022 observed the following relationship between precipitation p (measured in mmrainfall) on the abundance of arthropods A (measured in mg/m2 biomass) in Peru. I provided an image of the equation below (a) On what intervals does increasing precipitation increase biomass? (b) On what intervals does increasing precipitation decrease biomass? c)At what rate does increasing precipitation increase/decrease biomass in a rain forest thatreceives 500mm of rain annually?

Ten years of monthly data of a seasonally adjusted series are used to estimate a linear trend model as T = 24.10+ 0.32t. In addition, seasonal indices for January and February are calculated as 1.08 and 0.97, respectively. Make a forecast for the first two months of next year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) ýt January February

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.Estimate the instantaneous rate of change of daily receipts 20 weeks after the opening day. Round to four decimal places.

The following table shows the value B, in billions of dollars, of new construction put in place in the United States during year t. t = Year B = Value(billions of dollars) 2000 831.1 2003 891.5 2006 1167.6 2009 935.6 Period 2000 to 2003 2003 to 2006 2006 to 2009 Rate of change(in billion dollars per year) 20.13 92.03 -77.33 Estimate B(2001). (Round your answer to two decimal places.)  ___________________billion dollars