Suppose Mr. North randomly selected University in the country and then randomly selected Botswana Open University (BOU) as the Government institution, and finally randomly selected research methods classes from within BOU degree classes. His sampling technique is best described as _____________________. a) Random b) Stratified c) Cluster d) Multistage cluster
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- 5. This method is used when the population of interest is large and widely geographically dispersed. Sampling Techniques: A. Simple Random Sampling B. Systematic Random Sampling C. Stratified Sampling D. Cluster SamplingA study to determine the correlation between bankdeposits and consumer price indices in Birmingham, Alabama,revealed the following (which was based on n = 5 years of da ta):• LX = 15• Lx2 = 55• Lxy = 70• Ly = 20• L/ = 130a) What is the equation of the least-squares regression line?b) Find the coefficient of correlation. What does it imply to you?c) What is the standard error of the estimate?Based on the following regression ANOVA table, what is R2? Source df SS MS F Regression 4 1793.2356 448.3089 7.4854 Residual 45 2695.0996 59.8911 Total 49 4488.3352 0.6005 0.3995 0.8807 0.7230
- choose: Any attribute of interest on which data are collected and analysed: 1. Statistics 2. ordinal scale data8. assignment variable at which the treatment status does NOT change In Regression Discontinuity framework, the cutoff is defined as the level of the True False 9. What regression equation do we use for regression discontinuity framework? a) Y = Bo + B1 T + B2Xu+ Ei b) Y = Bo + B,T+ B2C + ei c) Y, = Bo + B, T+ B2 (Xi-C) + ei d) Y, = Bo + B1T + B2 (Xu + C) + € 10. Regression Discontinuity Design accomplices apples-to-apples comparison by comparing individuals as far from the cutoff as possible. True FalseWhich of the following variables would lineartrend extrapolation be more accurate for? (a) An-nual population of the United States or (b) annualsales of cars produced in the United States byFord. Why?
- (d) As part of a marketing program, a city block containing 4 households was selected and a sample of 3 households was sampled as follows. Jeremiah, the research assistant, identified the households and numbered each household from 1 to 4. He then want to list all combinations of the 4 households 2 at a time. These are: 1 and 2 1 and 3 1 and 4 2 and 3 2 and 4 3 and 4 Unfortunately, Jeremiah got this job because he was related to the Department Chairman, and he was very careless. He forgot the combina- tion 3 and 4. He chose a random number between 1 and 5 (it turned out to be 4) which corresponded to the combination 2 and 3. Thus households 2 and 3 were sampled. The variable of interest was out-of-pocket medical expenses incurred by the household (Table Q1 (d)). Table Q1 (d) : Out-Of-Pocket Medical Expenses Incurred by the Household Expenses ($) 345.00 Household 1 126.00 492.00 962.00 3 4 (ii) Based on Jeremiah's sampling procedure, what is the expected value of mean and variance of…Accountants at the Tucson firm, Larry Youdelman,CPAs, believed that several traveling executives were submittingunusually high travel vouchers when they returned from businesstrips. First, they took a sample of 200 vo uchers submitted fromthe past year. Then they developed the following multiple regressionequation relating expected travel cost to number of days onthe road (x1) and distance traveled (x2) in miles:y = $90.00 + $48.50x1 + $.40x2The coefficient of correlation computed was .68.a) If Barba ra Downey returns from a 300-miJe trip that took herout of town for 5 days, what is the expected amount she shouldclaim as expenses?b) Downey submitted a reimbursement request for $685. Whatshould the accountant do?c) Should any other variables be included? Which ones? Why?bex Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 3.136512 0.964065 0.985521 0.971252 0971252 Given the above regression statistics, what is the value of the coefficient of determination? 0.964065 3.136512
- Why would we graph scatterplots and regression lines?You may need to use the appropriate appendix table or technology to answer this question. The following results come from two independent random samples taken of two populations. Sample 1 Sample 2 n1 = 60 n2 = 25 x1 = 13.6 x2 = 11.6 σ1 = 2.5 σ2 = 3 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2.) (b) Provide a 90% confidence interval for the difference between the two population means. (Use x1 − x2. Round your answers to two decimal places.) to (c) Provide a 95% confidence interval for the difference between the two population means. (Use x1 − x2. Round your answers to two decimal places.) toThe following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and gender, where gender = 1 for males and 0 for females. Regression Analysis: Height Versus Shoe Size, Gender Coefficients Term Coef Constant 55.28 SE Coef 1.04 T-Value P-Value Shoe Size 0.105 Gender 0.268 0.12 0.489 53.1 0.875 0.000 0.000 0.548 0.000 (a) The dependent variable in this regression is which of the following? height gender shoe size constant (b) What is the regression coefficient of shoe size? (c) What is the regression coefficient of gender?