16. Table 3.15 shows the number of items (in thousands) produced from a factory pro-duction line during the course of a year. Taking the second quarter as the base quarter,calculate the associated index numbers. Suggest a possible reason for the fluctuationsin output.Table 3.15QuarterQ1Q2Q3Q4Output13.51.42.510.5

An index number may be defined as the specialised average designed to measure the change in the…

Answered: 16. Table 3.15 shows the number of…

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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Similar questions

Look at the four plots in Figure 14.2—the US unemployment rate, thedollar-pound exchange rate, the logarithm of the index of industrial production, and the percentage change in stock prices. Which of these seriesappears to be non-stationary? Which of them appears to resemble a randomwalk?
Suppose the following are the seasonal indices for the first three quarters of the year for a quarterly series: Quarter Seasonal Index Q1 70.3 Q2 81.4 Q3 107 Remember that the seasonal indices should average 100 so you should be able to infer the seasonal index for Q4. Furthermore, suppose that the estimated coeffcients from a regression of the deseasonalized series on Time are given below: Coefficients Intercept 2,345 Time 62.4 What is the forecast for period 104, if period 104 is a Q4? (please round your answer to 1 decimal place
Suppose that historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has statistically significantly decreased, what is the p-value? (please round your answer to 4 decimal places)
Suppose the following are the seasonal indices for the first three quarters of the year for a quarterly series: Quarter Seasonal Index Q1 73.9 Q2 84.1 Q3 107.1 Remember that the seasonal indices should average 100 so you should be able to infer the seasonal index for Q4. Furthermore, suppose that the estimated coeffcients from a regression of the deseasonalized series on Time are given below: Coefficients Intercept 2,964 Time 50.7 What is the trend projection of the series for period 119? (please round your answer to 1 decimal
Suppose the incidence rate of myocardial infarction (MI)was 5 per 1000 among 45- to 54-year-old men in 2000.To look at changes in incidence over time, 5000 men in thisage group were followed for 1 year starting in 2010. Fifteennew cases of MI were found. Suppose that 25% of patients with MI in 2000 died within24 hours. This proportion is called the 24-hour case-fatalityrate. >Suppose we eventually plan to accumulate 50 MIcases during the period 2010–2015. Assume that the24-hour case-fatality rate is truly 20% during this period.How much power would such a study have in distinguishingbetween case-fatality rates in 2000 and 2010–2015 if atwo-sided test with significance level .05 is planned?
A local bank is using Winters' method with α = 0.2, β = 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 0.90; Tuesday, 0.95; Wednesday, 1.10; Thursday, 1.25; Friday, 0.80. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.
Ten days of data on the S&P Dynamic Futures Index are as follows: 3.1) Construct a time series plot. What type of pattern exists in the data? 3.2) Use trial and error to find a value of the exponential smoothing coefficient that results in a relatively small MAE. You should try at least 5 values before making any conclusions.
6. Find Under Armour’s annual revenue from the past 10 years. Are the data considered structured or unstructured? Explain. Are they cross-sectional or time series data?
Explain the different factors that account for fluctuations in time series data
Suppose that the first Section of Applied Stat class ends at 13:20 and the second starts at 13:30 with ten minutes break. Professor, who teaches both sections, wants to go to bathroom during the break. Suppose that the time that takes for professor to go to bathroom and come back to the classroom has an exponential distribution with the mean of 6.7 minutes. Find the probability that the professor will be late for class for less than 3 minutes (round to 3 decimal places).
Suppose that the length of a phone call in minutes follows exponential distribution with parameter λ=8. If some one comes ahead of you in queue of telephone booth, then find the probability that you have to wait between 10 and 20 minutes.
The following table shows the average price of tomatoes (in dollars per pound) in certain country from 2017 to 2021 Year Price 2017 1.715 2018 0.942 2019 0.916 2020 1.181 2021 1.614 Use 2017 as the base period to compute the simple index for this time series By what percentage did the price of tomatoes increase or decrease between 2017 and 2021? Calculate an exponential smoothed series for this time series, using ? = 0.6. Forecast the price of tomatoes in 2022.

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