1. The following is the yearly coffee production (in coded units) of a certain countryfrom 2013 to 2021.Year 2013 2014 2015 2016 2017 2018 2019 2020 2021t125 6 78 93 427 25 31 2916 21323743It is felt that the data can be fitted by the linear trend model,YtY₁ = a + 3t+ , where ~ NID(0,0²) and 3 > 0.ENHere, NID(0, 1) means ~ENother at different times.(1)N(0, 1) for each t, and {e} are independent of each(a) Find the least square estimates of a and 6, and forecast the value of 2022. [ 1(b) Instead of using least square estimate, it is suggested to use the Simple Expo-nential Smoothing (SES) method with exponential smoothing constant a = 0.1and the initial forecast So = y₁ to construct 1-step ahead forecasts for the data,i.e.St = 0.1Y+0.9.St-1.i. Calculate the one-step ahead forecast for the year 2015-2018.ii. Do you think SES overestimates or underestimates the model (1)? Brieflyexplain.iii. What do you suggest to improve the forecast and why?

The formula for least-square estimates of β=n∑t×yt-∑t∑ytn∑t2-∑t2…

Answered: 1. The following is the yearly coffee…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. It has been noted that there is a positive correlation between the U.S. economy and the height of women's hemlines (distance from the floor of the bottom of a skirt or dress) with shorter skirts corresponding to economic growth and lower hemlines to periods of economic recession. Comment on the conclusion that economic factors cause hemlines to rise and fall. # of Absences (in weeks) Exam Grade 1 2 345 23 014 90 85 95 92 80
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.5 8.2 6.9 3.3 2.8 2.2 2.6 0.6 yy 13.7 10.9 10.2 7 6.1 5.8 6.3 4.2 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.87x+3.9.y=0.87x+3.9. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 2.5 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 5.2 thousand automatic weapons?Answer = Round to 3 decimal places. Submit QuestionQuestion 17
Fiske Corporation manufactures a popular regional brand of kitchen utensils. The design and variety has been fairly constant over the last three years. The managers at Fiske are planning for some changes in the product line next year, but first they want to understand better the relation between activity and factory costs as experienced with the current products. Discussions with the plant supervisor suggest that overhead seems to vary with labor-hours, machine-hours, or both. The following data were collected from last three year's operations: Quarter Machine-Hours 18,850 4 5 6 7 8 9 10 11 12 18,590 17,480 19,240 21,280 19,630 19,240 18,850 18,460 20,670 17,550 18,460 Labor-Hours 15,605 15,484 16,727 15,990 17,508 17,376 15,297 14,373 16,001 17,002 14,285 17,651 Factory costs $ 3,395,671 3,425,836 3,617,844 3,573,940 3,812,984 3,778,012 3,532,426 3,369,802 3,513, 187 3,731,434 3,325,615 3,724,486 Required: Prepare a scatter graph based on the factory cost and labor-hour data. Note: 1.…
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.6 8.5 7.2 3.6 2.6 2.3 2.1 0.4 yy 13.8 11.4 9.9 7.1 5.9 5.8 5.8 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.84x+4.02.y=0.84x+4.02. Use this equation to answer the following;Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 4.9 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 10.3 thousand automatic weapons?Answer = Round to 3 decimal places.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.4 8 7 3.6 2.7 2.5 2.7 0.8 yy 13.4 11 10.1 7.2 6.2 6.1 6.4 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.84x+4.09.y=0.84x+4.09. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 4.7 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 6.6 thousand automatic weapons?Answer = Round to 3 decimal places.
The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. Year03691215 Retail Sales85.851108.426141.781169.256202.297222.266 Let y be the retails sales in billions of dollars in x years since 1995. A linear model for the data is y=9.44x+84.182 A) Use the above scatter plot to decide whether the line of best fit, fits the data well. The function is a good model for the data.The function is not a good model for the data B) To the nearest billion, estimate the retails sales in the U. S. in 2011. billions of dollars. C) Use the equation to find the year in which retails sales will be $240 billion. .

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