2. For some time series data y₁, 92, 9120, the sample variance is:****1201Σ(yi - g)2 = 1.25120and the values of the sample auto-correlation function (SACF) for the first three lags areshown in the table below:8 = 38 = 1 s = 20.2385662 0.4475ACF0.1331527(a) Calculate the values for the following sums:120120120Σ(1-1 -5): - 5), Σ(1-2 - 1)(y% - 7), Σ(1-3 - 3)(y; - 7).i=3(b) Based on the information available, calculate the values of the sample partial auto-correlation function (SPACF) 11 and 22.(c) Provide the system of equations required for evaluating 33, the sample partial auto-correlation function (SPACF) at lag three.

Answered: Image /qna-images/answer/b3296f1b-1293-4f23-bdde-a4078f833687.jpg

Answered: 2. For some time series data y₁, 92,…

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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Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately ?2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 2.9. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom?
Population 1 is Normally distributed with a mean of 40 and a standard deviation of 4, and population 2 is normally distributed with a mean of 25 and a standard deviation of 7. Suppose we select independent SRSS of n1 = 100 and n2 = 85 from population 1 and 2 respectively. Which of the following are the values of the mean and the standard deviation of the sampling distribution of T1 – F2? 4(1 4) O 65, 7(1 7) 100 85 72 42 O 15. 100 85 4(1-4) O 15, 7(1-7) 100 85 42 O 15. 100 85 V馬-VE 42 72 65, 100 85
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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.4 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 1090 samples is 4.3 ppm. Assume the variance is known to be 1.44. Does the data support the claim at the 0.05 level? Step 1 of 5: Enter the hypotheses: Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.
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A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected and for each earthquake the magnitude of the earthquake and the number of people killed was recorded. The data appear in the scatterplot below. 400 350 300 250 200 150 100 50 0 3 -50 4 5 6 7 8 9 10 -100 -150 Magnitude of Earthquake 8 Consider the scatterplot above question 2. Use this scatterplot to describe completely the relationship between the magnitude of the earthquake and the number of people killed. Positive and linear Negative, moderate, linear O Negative, strong, linear Positive, moderate, linear Number of People Killed ---
e 14-25. A car hire firm has two cars which it hires out day by day. The number of demands for a car on each day is distributed as a Poisson variate with mean 1-5. Calculate the proportion of days on which (i) Neither car is used (ii) Some demand is refused.
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