State if the following is True or false and provide a brief explanation for your answer. Consider Population model Y = Bo + B1X1+ B2X2+ B3X3 + µ. Now consider the following statements a to c. Assumption MLR 1 – 4 is satisfied if and only if: a. X,has no effect on Y after X, & X, have been controlled for which means B3 = 0 b. X3 may or maynot be correlated with X, & X, . All that matters is that X, & X, are controlled for X,has no effect on Y. c. Given that B3 = 0 we are inclined to estimate the equation to include X2. Serial correlation (also called Autocorrelation) is where error terms in a time series transfer from one period to the same period.
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- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2See image for question introduction. Conduct a test of the null hypothesis H0: µ1 = µ2 = µ3 = µ4 = µ5 and state a conclusion formulated in terms of Ha here for feed rate groups.In the multichannel model (M/M/m), we must assume that the average service time for all channels is the same. True False
- Assume that as a portfolio manager the beta of your portfolio is 1.15 and that your performance is exactly on target with the SML data under condition 1. If the true SML data is given by condition 2, how much does your performance differ from the true SML? (1) RFR = 0.0625 Rm(proxy) = 0.12 (2) RK = 0.078 Rm(true) = 0.10For a population with u=50 and o=10,what is the x value corresponding to z=0.4?I need the Solution to Question 4. 4) Mungo’s management team is convinced that the product will be a success if 30% or more ofthe product’s target population indicate they are likely to purchase the product. Based uponyour answer in Task 3, how would you advise management regarding the potential for theproduct to be successful?
- Given two estimators X1 and X2 for a population mean, E[X1] = 6, V[X1] = 4, and V[X2] = 5. If the true value of the population mean is 5, which of the following is(are) TRUE? A. X1 is an unbiased estimator.B. X2 is less precise than X1.Consider the linear model Yi = B0 + B1X1i + B2X2i + ui where ui is the error term and where E(ui|X1i,X2i) = 0, observations (Yi,X1i,X2i) are independent and identically distributed, 0 < E(Y4) < 1, 0 < 1i E(X14i) < 1, 0 < E(X24i) < 1 and where X2i = X12i. Are the OLS estimators Bˆ1 and Bˆ2 of the coe¢cients B1 and B2 unbiased and consistent? Explain.Question No. 4: According to the All Pakistan Software Developer Association (APSDA), developers generally spend more than 40 hours each week working on software and web development. The Table 4.1 shows the number of hours worked per week for a sample of 15 Software developers and a sample of 10 Web developers. Table 4.1 Software Developers 56 54 54 49 61 48 58 60 59 53 50 58 55 57 52 Web Developers 47 50 46 47 48 49 46 55 44 42 ---- a) What is the third quartile of spending working hours for Software developers? b) Create a box plot for the number of hours worked for Software developers. c) Create a box plot for the number of hours worked for Web developers. d) Comment on the differences between the box plots for Software & Web developers.
- The article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp.59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5°C using alpha (a) = 0.05. This problem is a test on what population parameter? What is the null and alternative hypothesis? What are the Significance level and type of test? What standardized test statistic will be used? What is the standard test statistic? What is the Statistical Decision? What is the statistical decision in the statement form?Need help with parts d and k. Data: TSERofReturn AcmeRofReturn 1 0.42478 -0.48194 2 1.61213 -0.73284 3 -0.98754 -2.28445 4 -0.30013 -1.55312 5 1.41215 0.68674 6 0.68725 -1.31132 7 0.03733 -0.83295 8 -1.72494 -1.71975 9 0.33729 1.14443 10 -1.07502 -1.79885 11 0.86222 0.89736 12 1.17468 1.66664 13 -0.38761 -0.02658 14 1.66212 0.9086 15 1.09969 1.99935 16 -0.06266 0.46148 17 -1.96241 -1.41004 18 -1.32499 -0.38086 19 -1.51247 -1.90904 20 0.74974 0.91873 21 -0.38761 -0.49714 22 -0.17514 -1.31385 23 -3.41222 -1.15681 24 -0.01266 2.11718 25 0.16231 1.78766 26 -0.82506 1.30344 27 -0.41261 -0.43377 28 0.2623 -1.70274 29 -1.16251 0.4692 30 -1.05003 0.27671 31 -0.65008 -0.63741 32 0.62475 2.9895 33 -0.68758 1.3613 34…Question 4 A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 25% of the people who receive the coupons for the free membership will use the coupon. When testing the hypothesis that at least 25% of the people who receive the coupons for the free membership will use the coupon, what is the null and alternative hypothesis?