The variance of the random process is: O a. the cross-correlation at tau=infinity O b. None of the given options Oc. the auto-covariance at tau=0 Od. the cross-covariance at tau-infinity Oe the auto-correlation at tau-0
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- 1-5. A study is conducted to determine the relationship between a driver’s age and the number of accidents a person has over a one-year period. The data are shown below. At α = 0.05, using Pearson correlation, is there a significant relationship between a driver’s age and the number of accidents a person? 1. What is the value of r? a) -0.172 b) -0.892 c) 0.172 d) 0.892 2.The regression equation is defined by y' = a + bx. What is the value for a? a) 4.02 b) 3.36 c) 3.07 d) 2.86 3. The regression equation is defined by y' = a + bx. What is the value for b? a)0.34 b) 0.29 c) -0.03 d) -0.34 4. If we do t test for the correlation coefficient. What will be the test value? a)1.36 b) 1.28 c) -0.43 d) -0.56 5. What is the critical value to be used in the given problem? a) ±1.943 b) ±2.306 c) ±2.365 d) ±2.447Suppose that for variables x and y, we find that the correlation coefficent r= .750. Assuming that α=.05α=.05, what is the minimum number of data points n, that is requried so that a signficant linear correlation is present? a. n=6 b. n=7 c. n=8 d. It cannot be determined from the given dataPi- P2 Z. = %3D SE Suppose a drug company is developing a vaccine, designed to protect against a particular virus. The company states that the vaccine will be equally effective for men and women. In its initial stage, a researcher selects a random sample of 200 men and 100 women independently. At the end of the study, 15 of the men and 10 of the women showed symptoms of the virus after taking the vaccine. Is there enough evidence to conclude that there is a significant difference in the proportions of men and women who show symptoms of the virus after taking the vaccine? (a) State the appropriate hypotheses to answer this question. (b) Compute the test-statistic. (c) (i) Calculate the p-value. (ii) Interpret the p-value you have found. (d) State your conclusion in context of the situation. Page 1 135
- The multiple correlation (R) is: The correlation between predicted and observed scores. The sum of the simple r's. The highest simple r. Always between 0 and 1 (inclusive).TF.5 A small hotel has 5 rooms. Let X be the number of occupied rooms on any given day. The pmf p(x) of X is given in the table. x 0 1 2 3 4 5 p(x) .05 .05 .20 .25 .30 .15 Find the means E(X) and E(X2) , the variance V(X) and the standard deviation SD(X) of X.3. Fill in the blank spaces of table B1 using information compiled in table B. Table B Breusch-Godfrey Serial Correlation LM Test: Prob. F(2,55) Prob. Chi-Square(2) F-statistic 11.70006 0.0001 Obs*R-squared 17.90823 0.0001 Table B1: Breusch-Godfrey Serial Correlation LM Test F-statistic: Probability: a. Write down the null and alternative hypotheses underlying Breusch-Godfrey serial correlation (autocorrelation) test. b. Will you accept or reject the null hypothesis based on the Breusch-Godfrey test for residual autocorrelation? Why or why not?
- Two pair misread values. A computer while calculating the correlation coefficient.between two variables x and y obtained the following constants : N=25, Ex=125, Ex=650, Ey-100, Ey=460, Exy=508. It was however later discovered at the time of checking that be had copied down two pairs of observations as (6, 14), (8, 6) while the correct values were (8, 12), (6, 8). Obtain the correct value of the correlation coefficient between x and y.1. Suppose a X value is produced by a random process that has a mean of 1 and a variance of 9, while a Y value is produced by a random process that has a mean of 9 and a variance of 1. Let Z = 3X - 2Y. Compute: a. the mean and variance of Z assuming X and X are independent. b. the mean and variance of Z assuming X and X are not independent and their correlation coefficient is 0.50.R1
- Frozen computer: A computer system administrator noticed that computers running a particular operating system seem to freeze up more often as the installation of the operating system ages. She measures the time (in minutes) before freeze-up for 6 computers one month after installation and for 6 computers seven months after installation. The results are shown. Can you conclude that the time to freeze-up is more variable in the seventh month than the first month after installation? Let σ1 denote the variability in time to freeze-up in the first month after installation. Use the α=0.10 level and the critical value method with the table. One month: 207.4 233.1 215.9 235.1 225.6 244.4 Seven months: 84.3 53.2 127.3 201.3 174.2 246.2 State the null and alternate hypothesis(c) Calcculate d and sd (d) Find the standardized test statistic t.Find question 3 using EXCEL