In this question you will consider properties of sample estimatorsin time series context and perform inference and testing. Youmay use R to assist you in calculations, but you should state theformula of any estimator you are calculating as well as the valueyou obtain for the estimator, and if R is used, the R commandutilised. You can either obtain the solution by calculator or by R.15 samples from a time series:You are given T{y₁,..., y15}== {-0.92, 1.08, 0.20, -0.63, 1.36, 1.33, -1.06,0.11, -1.00, -0.68, 1.81, 1.71, 0.93,-0.75, -2.16}(b) Apply a relevant hypothesis test based on the sample ACFto determine if the time series is statistically different fromWhite Noise based on this sample observation. Describe theNull and Alternative hypothesis, state the relevant test statis-tic and the distribution of this test statistic under the Null(asymptotic distribution), write an expression for the p-valueor the decision region and finally state the outcome of yourinference testing procedure. Remark on the effect of such asmall sample size on this conclusion.

In this question, we will examine the properties of sample estimators in a time series context and…

Answered: In this question you will consider…

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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Please complete the following summary table for the following scenario. Please be sure to round your answers correctly to two decimal places (else it is marked wrong). An educational psychologist is interested in the effect of reading on reasoning abilities. Ten students from grades six through eight are enrolled in a reading club that requires daily reading of books for thirty days. Student reasoning ability is tested using a logic quiz with twenty question. The number of correct answers was recorded for each student. The researcher administered a logic quiz before, during, and after the thirty day reading assignment. Means are included below. Did the reading regularly affect reasoning? Before; 10.70 During: 11.50 After: 14.00 Source Time Error Sum of Squares 59.00 18.00 df 2 27 Mean Squares 29.5 0.67 F 44.03
Question 9 Dr. Jameson wanted to know if IQ scores differed between male and female participants in his study. He gave 28 participants an IQ test and then compared IQ scores for gender differences. He hypothesized that there would be a statistically significant gender difference in IQ scores. Contrary to Dr. Jameson's hypothesis, there were no differences in IQ scores between men and women in his study. From the results of the study, Dr. Jameson must the research hypothesis. the null hypothesis and fail to reject; reject reject; retest reject; fail to reject retest; reject
Question 4) Steve and Sue, both being relatively short, have always felt they and their shorter than average friends were getting shorted in pay. They hire you to do some analysis. You divide the population into shorter than average (Shorts) and taller than average (Talls). (Probably don’t refer to your friends in these terms, this is only to help you quickly talk about the samples) Your Shorts sample of 10 people earns on average $22 per hour with a standard deviation of $5. The Talls sample of 12 shows an average earned $18 per hour with a standard deviation of $4. Set up a null hypothesis and an alternative hypothesis Using an alpha of .05 test your hypothesis. (If you get stuck write down what you know.) What did you determine based on your test? Refer to your null and alternative hypotheses. (If you are stuck on part b, make up a result and answer parts c and d based on the result. Make sure to explicitly state what result you are making up so I…
Question 3 A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their final course grade. She randomly selects 12 students for study and asks them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's total marks is recorded along with their final grade. The data follow in Table 2. Table 2 Problem Course Grade 62 51 58 62 68 66 65 68 76 77 66 67 72 73 72 78 73 76 78 78 84 85 91 75 Use the regression equation to preaict a student's final course grade if 75 optional homework assignments are done. ix. Use the regression equation to compute the number of optional homework assignments that need to be completed if a student expects an 85. vii.
Question 17, section 8.1
A b c
Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?
Two varieties of corn are grown in 4 different locations. Each location provides a value in pounds for each variety.The table below lists the results. Find the standard error for the difference in the production of the two corn varieties to two decimal places. Variety 1 Variety 2 difference location 1 32.1 34.5 -2.4 location 2 30.6 32.6 -2.0 location 3 33.7 34.6 -0.9 location 4 29.7 31.6 -1.3 mean value 31.53 33.18 -1.65 standard deviation 1.76 1.72 0.68 1.23 0.75 0.34 0.98
QUESTION 2 A survey by marketing students at KU was conducted to consider how many students attend football games regularly during the season. A random sample of 42 students was collected to estimate the proportion of students who regularly attend football games. The sample proportion was found to be 35%. Thirty-five percent is a O a. point estimate O b. sample parameter C. population parameter O d. point estimator
Use the given information to answer subquestion 1.a, 1.b, and 1.c

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