25. Comment on cross correlation function of two orthogonal random processes.

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Answered: Comment on cross correlation function…

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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A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance o of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of o = 23 months (squared) is most desirable for these batteries. A random sample of 30 batteries gave a sample variance of 15.4 months %3D (squared). Using a 0.05 level of significance, test the claim that o? = 23 against the claim that oʻ is different from 23. (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom?
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Researchers at the Centers for Disease Control and Prevention (CDC) have collected data on the rate of Alzheimer’s disease from a random sample of persons across the country aged 50 and above (n = 250). In particular, researchers are curious in studying a claim made by the tobacco industry that there is a negative relationship between smoking cigarettes and the risk of contracting Alzheimer’s. The researchers have calculated a Pearson’s r correlation of −.709 for the two variables. The researchers have also calculated (using a computer) a significance value of .005.In a paragraph of five to six sentences, based on the results from the correlation, what conclusions can the researchers make about the relationship between smoking and getting Alzheimer’s? Ensure that you mention the unit of analysis, the direction of the relationship, the strength of the relationship, whether the findings are statistically significant, and how accurately the results would reflect the population. Do…
tion 21. An investor is considering two types of investment. She is quite satisfied that the expected return on investment 1 is higher than the expected return on investment 2. However, she is quite concerned that the risk associated with investment 1 is higher than that of investment 2. To help make her decision, she randomly selects seven monthly returns on investment 1 and ten monthly returns on investment 2. She finds that the sample variances of investments 1 and 2 are 225 and 118, respectively. a) Can she infer at the 5% significance level that the population variance of investment 1 exceeds that of investment 2? b) Estimate with 95% confidence the ratio of the two population variances. c) Briefly describe what the interval estimate tells you.
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. O A. OB. Best Actor (years) 70- 20- 20 70 Best Actress (years) Best Actor (years) The linear correlation coefficient is r= (Round to three decimal places as needed.) xample Get more help. 70- ||||||||| THHHH 20+ 20 Best Actr 11111 H ||||||||| Qu 70 Q *** Best Actor (years) C. 20+ 20 P +||||| HHHH 70 Best Actresses and Best Actors 29 Best Actress 29 30 29 59 32 32 43 Best Actor 45 37 40 43 49 50 59 48 O D. Best Actor (years) 64 37 70- 20+ 20 D M 23 42 53 55 43…
Consider the performance function Y= 2X1-2X2+8X3 are all normally distributed random variables with μΧ1 = 10.4 ; μΧ2 = 11.8 ; μΧ3= 11.5Vx1 = 4 % , Vx2 = 5% ; Vx3 = 8 % X1 X2 X3q = 1 0,8 6 X1 0,8 1 0,5 X2 -----> correlation of Matrix 0,6 0,5 1 X3 Y < 0; failure occurs 15 simulations Pf =? . Determine the probability of failure ? (Reliability of Structures)
Explain Distribution of the F-Statistic using the homoskedasticityonlyestimator of the covariance matrix?
Suppose that a random man's weight from a certain population is M~ Normal (μ = 200, o²49) and a random woman's weight is W ~ Normal( 140, o² = 25). If M and W are independent, what is the variance of the difference between a man's weight and a woman's weight, i.e. Var (M-W)? (a) 340 (b) 24 (c) 140 (d) 200 (e) None of the above
Two computer companies are offering new software to universities. Let X and Y denote the number of software installed in three major universities by these two companies. Suppose that the variance of X is 539, the variance of Yis 754, and the covariance of X and Yis 183.50. a) Calculate the correlation coefficient (p) Select one: a. 0.287 b. 0.857 c. None of the answers d. 0.928
If Linear correlation coefficient r = 0.794556 Coefficient of determination = 0.631319 Equation of regression line is y = 16.5523 + %3D 0.725938x then both variables are moving in the same direction. A True В False
Suppose that the correlation coefficient ρ between two random variables has been found in an experiment to be zero. Which of the following is NOT TRUE?
A sample of 30 ordered pairs produces a linear correlation coefficient of r-0.026 Which of the following statements would be true? No regression line could be calculated from these ordered pairs Although no linear correlation exists, there might be a strong non-linear correlation A negative linear correlation exists A positive linear correlation exists The regression line would not pass through the point (x, y)

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