Question 17Suppose you are interested in knowing the monthly number of cookies eaten by children. You putchild age, weight, household income, and a bunch of parental controls on the RHS. You considerchildren from birth to age 14. Your model does great from a predictive stand point with smallresiduals, except for the 0-6 months old crowd which basically eats no cookies and has big residuals.They you likely violated theRandom Sample AssumptionHomoskedasticity AssumptionThe BLUE AssumptionThe Gauss-Markov CorollaryO None of the above are likely violated given the above story.Question 18In a multivariate regression model, a high degree of precision meansThe betas are drawn from sampling distributions with a low varianceOur estimates are unbiasedWe will get causal estimatesWe probably had lots of data to work with and/or data with a low underlying degree of dispersionTwo of the above options are true, while two are false

17) Some of the consequences are, The ordinary least square would not give an estimator with small…

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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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Question 6 Having studied Fixed Income Securities, you are now working as an analyst for a well known bond fund. Your manager asks you to replicate the JP Morgan T-Bond Index using a tracking error minimization approach. You are to replicate this index as closely as possible using a medium duration Treasury bond (M-BOND) and a long duration Treasury bond (L-BOND). These expire in approximately 7.15 years’ and 29.25 years’ time respectively. The following variance-covariance matrix, based on daily returns over the preceding six months, is given to you to use in your replication: Note: As usual, variances are given on the diagonal, e.g. the variance of M-BOND is 0.0042%. As usual, covariances appear in the non-diagonal elements, e.g. the covariance of M-BOND and L-BOND is 0.0057%. (a) Suppose the optimal weights for M-BOND and L-BOND are 0.7 and 0.3. Calculate the expected tracking error of the portfolio and explain how you interpret this number. (b) Calculate the correlation matrix…
QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis?
QUESTION 3 Which of the following can cause OLS estimators to be biased? Explain each of the following points: Heteroscedasticity Omitting an important variable A sample correlation coefficient of 0.95 between two independent variables both included in the model.
QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
Question #4. US Universities found that 72% of people are concerned about the possibility that their personal records could be stolen over the Internet. If a random sample of 300 college students at a Midwestern university were taken and 228 of them were concerned about the possibility that their personal records could be stolen over the Internet, could you conclude at the 0.025 level of significance that a higher proportion of the university's college students are concerned about Internet theft than the public at large? Report the p-value for this test. Z0.025 = 1.96
Question 2 The time for an older machine to do a quality check on a newly manufactured tire,X1, has mean of 65 seconds and variance 16, while the time for a newer model, X2, has mean 45 seconds and variance 9. Find the expected time savings using the newer model whena) checking a single tire;b) checking 200 tires.c) Find the standard deviation in parts a) and b), assuming all the checking times areindependent.
Question 2 There is a claim that drink driving has been very common in high ways. The Highway Police randomly caught 300 drivers for breath alcohol test and found that 14% of drivers have breath alcohol over the legal limit. At 4% level of significance, use the p-value approach to test the hypothesis that the percentage of drivers who are drink driving is more than 10%.
question 1: What is the critical value for an upper‐tailed hypothesis test of the population mean when the population variance is unknown in which a null hypothesis is tested at the 0.01 level of significance based on a sample size of 22? Options 2.518 1.721 1.734 1.323 Question 2: The state lottery office claims that the average household income of those people playing the lottery is at least $37,000. Assume that the distribution of household income of those people playing the lottery is normally distributed with a standard deviation of $5,000. Suppose that for a sample of 16 households, it is found that the average income was $35,000. What is the test statistic for this test? Options t = ‐1.76 t = ‐0.96 t = -2.00 t = -1.60
Question #1 Some people are concerned that new tougher standards and high-stakes tests adopted in many states may drive up the dropout rate. The National Center for Education Statistics reported that the high school dropout rate for the year 2000 was 10.9%. One school district, whose dropout rate has always been very close to the national average, reports that 210 of their 1782 students dropped out last year. Use this sample data and a 0.05 significance level to test the claim that the national high school dropout rate is now greater than 10.9%. Show all the steps of your hypothesis test including the claim being tested: the null and alternative hypothesis: the test statistic: the p values: initial conclusion: a final conclusion about the original claim: Question #2 A diet guide claims that you will get 120 calories in a serving of vanilla yogurt. Consumer Reports tested 14 brands of vanilla yogurt and found the following numbers of calories per serving: 160 200 220 230 120…
Question 10 Political Science, Inc. (PSI) specializes in voter polls and surveys designed to keep political office seekers informed of their position in a race. Using telephone surveys, interviewers ask registered voters who they would vote for if the election were held that day. In a recent election campaign, PSI found that 220 registered voters, out of 500 contacted, favored a particular candidate. a. Develop a 95% confidence interval estimate for the proportion of the population of registered voters that favors the candidate.b. Suppose that PSI would like 99% confidence that the sample proportion is within ± .03 of the population proportion. What sample size is needed to provide the desired margin of error?
QUESTION 18 A researcher notes that there seems to be a difference in the prevalence of high blood pressure among college-educated individuals who consume low amounts of processed foods and the prevalence of individuals who only have a high school education and consume high amounts of processed foods. Use the appropriate hypothesis to test for the independence of the two independent variables presented here at the 5% significance level to ensure confounding has not influenced the study’s results. Then, interpret your response. Diet Low in Processed Foods Normal BP High BP Total College Education 124 55 179 High School Education 69 152 221 Total 193 207 400 Diet High in Processed Foods Normal BP High BP Total College Education 64 85 149 High School Education 98 153 251 Total 162 238 400 The chi square value of 37.724 is higher than the chi square value of 3.84; therefore, we do not reject H0 at the 5% level and reject H1, which states that level…
question 6 help ) Katie and Bonnie decide to buy some Krispy Kernel microwave popcorn. They arecompletely bowled over by the high-tech graphics on the package, showing how thepopping times for a bag of this carefully produced product are normally distributedwith a mean of 3.0 minutes. (And yet, they know enough about statistics to beskeptical about untested claims about the value of a population mean.)Sampling the product themselves, they obtain the following popping times (inminutes) for their sample of 5 bags:3.9 2.8 3.4 4.1 3.3a) Determine the following values, if possible, from the information given. If notpossible, write "N/A". (5)= ________ μ = ________ σ= ________ s = ________ n = ________b) Find a 90% confidence interval for the true mean popping time for this product Is it reasonable to conclude that the mean popping time is 3.0 minutes asadvertised? Why or why not?

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