What is the correlation between a person's income and their level of education, and to what extent does this relationship vary across different demographic groups such as race, gender, and age?
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- Consumer Research, Inc. Consumer Research, Inc., is an independent agency that conducts research on consumer attitudes and behaviors for a variety of firms. In one study, a client asked for an investigation of consumer characteristics that can be used to predict the amount charged by credit card users. The following data were collected on annual income, household size, and annual credit card charges for a sample of 50 consumers. Managerial Report Use methods of descriptive statistics to summarize the Comment on the findings. Develop estimated regression equations, first using annual income as the independent variable and then using household size as the independent variable. Which variable is the better predictor of annual credit card charges? Discuss your findings. Develop an estimated regression equation with annual income and household size as the independent Discuss your findings. What is the predicted annual credit card charge for a three-person…The following table shows the age distribution of live births in Albany County, New York, for 2000. Mother's Age Number of Live Births 10-14 7 15-19 258 20-24 585 25-29 841 30-34 981 35-39 526 99 40-44 45-49 4 What is the median of the given grouped data?A study on the probable number of enrollees in a school the next school year based on their enrolment statistics in a school for a 5-year period. Descriptive research Correlational research Experimental Research Historical quantitative research Causal research
- We sometimes hear that getting married is good for your career. Assume the table presents data from one of the studies behind this generalization that classifies men ages 18 and over according to marital status and annual income. We include only data on men to avoid sex bias. Income No income $1-$49,999 $50,000-$99,999 $100,000 and over Total Marital status and salary level (thousands of men) Marital Status Single men with no income: Single (Never Married) 5403 25,696 6152 2145 39,396 Married 1256 31,569 22,145 14,588 69,558 Divorced 563 6210 3112 1912 11,797 Widowed 145 2439 650 301 3535 What percentage of single men have no income? Give your answer to one decimal place. Total 7367 65,914 32,059 18,946 124,286 %Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. Market Mobile Shreveport Jackson Birmingham Little Rock Biloxi New Orleans Baton Rouge Weekly Gross Revenue Television Advertising Newspaper Advertising ($100s) 101.3 51.9 74.8 126.2 137.8 101.4 237.8 219.6 ($100s) 5.0 3.0 4.0 4.3 3.6 3.5 5.0 6.9 + (a) Use the data to develop an estimated regression equation with the amount of television advertising as the independent variable. Let x represent the amount of television advertising. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) ŷ ($100s) 1.5 3.0 1.5 4.3 4.0 2.3 8.4 5.8 X Test for a significant relationship between television advertising and weekly…1. To understand the cooking and diet patterns of Americans, a research company surveyed 12,340 American adults (age 18 and older) during the year 2014 and asked about a variety of factors including age, gender, yearly income (in US $), and the number of hours spent cooking each week. Answer the following questions regarding the context of the survey: a. WHO is being measured? (What is the sample?) b. WHAT is being measured? (What are the variables?) For each variable, identify whether it is quantitative or categorical.
- a. Is there a main effect of Drug Dose? Explain. b. Is there a main effect of Sex? Explain. c. Is there an interaction between Sex and Drug Dose? Explain.How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). I II III IV 27.9 13.5 22.2 17.9 23.2 9.6 20.5 16.4 14.7 11.1 7.7 14.5 8.3 8.9 12.7 15.9 11.8 6.5 7.7 10.6 19.1 9.5 What are the degrees of freedom? (numerator) (denominator)(c) Find the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.001 < P-value < 0.010 P-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value is greater than the level of significance at α = 0.05, we do not reject H0. Since the P-value is less than or equal to the level of significance at α = 0.05, we…(True/False). These data show that 80% of companies worth $75K or more are tracking the online and cellphone activity of 47% percent of US adults. (True/False). These data show that in comparison to companies, the government is less likely to track online activity. (True/False). These data show that companies run by individuals ages 18 to 29 years old are the most likely to track online activity. (True/False). These data show that the government is very likely to track Black adults (60%) and Hispanic adults (56%) and less likely to track White adults (43%).
- The mean birthweight of an infant is thought to be associated with the smoking status of the mother during the first trimester of the pregnancy. Consider the following data from mothers divided into four categories according to smoking habits, and the corresponding birthweights of their children. Group 1: Mother is a non smoker (NON): 7.5, 6.2, 6.9, 7.4, 9.2, 8.3, 7.6 Group 2: Mother is an ex-smoker (EX): 5.8, 7.3, 8.2, 7.1, 7.8 Group 3: Mother is a current smoker, smokes less than 1 pack per day (CUR < 1) 5.9, 6.2, 5.8, 4.7, 8.3, 7.2, 6.2 Group 4: Mother is a current smoker, smokes more than or equal to 1 pack per day (Cur ≥ 1) 6.2, 6.8, 5.7, 4.9, 6.2, 7.1, 5.8, 5.4 Using Stata test whether or not the mean birthweights are equal across all four groups at the alpha = 0.05 level. What are your null and alternative hypothesis? Ο HO: μ_1== μ_2 HA: μ_1=\= μ_2 O HO: μ_i== u_j for all i and j HA: μ_i=\= μ_j for all i and j O HO: μ_i == μ_j for all i and j HA: μ_i=\= μ_j for at least one i,j…A study on the preference of high school students in the choice of reading materials. Descriptive research Correlational research Experimental Research Historical quantitative research Causal researchHow do the average weekly incomes of electricians and carpenters compare? A random sample of 17 regions in the United States gave the following information about average weekly income (in dollars). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.) Region 1 2 3 4 5 6 7 8 9 Electricians 464 715 597 464 736 694 744 571 806 Carpenters 542 813 513 476 688 503 789 653 474 Region 10 11 12 13 14 15 16 17 Electricians 592 594 702 579 868 598 597 654 Carpenters 489 647 676 384 817 605 556 505 Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a 5% level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (c) Find the P-value of the sample test statistic.