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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- A researcher is interested to see if income is related to education level. Income (Dollars) Education (Years) $36,577 11 $54,365 12 $33,542 10 $65,654 12 $45,765 11 $24,354 7 $43,233 12 $44,321 13 $23,216 9 $43,454 12 $64,543 12 $43,433 14 $34,644 12 $33,213 10 $55,654 15 $76,545 14 $21,324 11 $17,645 12 $23,432 11 $44,543 15 SPSS Output (Correlation Matrix and Scatterplot): Describe the relationship in non-technical terms and any potential third variables: Report the Correlation in APA format:Predict the lung cancer index for men who worked in an occupation in England in which the smoking index was 129. What type of prediction did you just make? Explain What type of prediction did you just make? Explain Provide an explanation for the different relationships (if any), that these factors have with the happiness index.
- A research paper describes a study of the relationship between age and 1-hour swimming performance. Data on age and swim distance for over 10,000 men participating in a national long-distance 1-hour swimming competition are summarized in the accompanying table. Representative Age (Midpoint of Age Group) Average Swim Distance (meters) Age Group 20-29 25 3913.5 30-39 35 3718.8 40-49 45 3579.4 50-59 55 3351.9 60-69 65 3000.1 70-79 75 2639.0 80-89 85 2118.4 (a) Find the equation of the least-squares line with x = representative age and y = average swim distance. (Round your numerical values to three decimal places.) + (b) Compute the seven residuals. (Round your answers to three decimal places.) Representative Age (x) Residual (meters) 25 35 45 55 65 75 85 Use the seven residuals to construct a residual plot. Residual Residual Residual 200 200 200 100 100 100 - 100 -100 - 100Social media provides an enormous amount of data about the activities and habits of people using social platforms like Face book and Twitter. The belief is that mining that data provides a treasure trove for those who seek to quantify and predict future human behavior. A marketer is planning a survey of Internet users in the United States to determine social media usage. The objective of the survey is to gain insight on these three items: key social media platforms used, frequency of social media usage, and demographics of key social media platform users. a. For each of the three items listed, indicate whether the variables are categorical or numerical. If a variable is numerical, is it dis crete or continuous? b. Develop five categorical questions for the survey. c. Develop five numerical questions for the survey.An article gave the following data on median worker pay (in thousands of dollars) and the 1-year percent change in stock price for the 13 highest paying companies in the United States. Percent Change in Stock Price Median Company Worker Pay Company 1 134.7 21.9 Company 2 132.2 92.4 Company 3 125.0 33.8 Company 4 122.8 52.3 Company 5 122.5 42.1 Company 6 121.2 2.6 Company 7 121.2 5.3 Company 8 119.0 29.9 Company 9 118.0 7.9 Company 10 118.0 37.2 Company 11 117.6 15.8 Company 12 117.4 21.9 Company 13 115.1 -44.5
- Salaries for administrative assistants range from $32,000 per year to $67,000 per year. Salaries for executive chefs range from $58,000 per year to $110,000 per year. Which of these two professions has the largest amount of variation? If the variability is high, what does this mean in terms of getting a salary on the higher end of the range?The following data represent the living situation of newlyweds in a large metropolitan area and their annual household income. What, if any, association exists between living situation and household income? Discuss the association. < $20,000 $20,-35,000 $35,-50,000 $50,-75,000 > $75,000 Own home 31 52 202 355 524 Rent home 67 66 52 23 11 Live w/family 89 69 30 4 21. Self-esteem, or a person's sense of their own worth, is a global concept that can be impacted by many elements of a person's life. A researcher would like to measure the association between academic self-efficacy, or a person's belief in their academic ability, and their self-esteem in general. Measures of both variables were gathered from ten participants, displayed in the table below. Academic self-efficacy 60 36 12 6 26 5 4 60 34 10 x=25.30 s²x = 472.19 Sx = 21.73 Self-esteem 15 14 16 11 12 35 18 14 19 24 y = 17.80 s²y = 50.55 Sy=7.11 a. Compute the Pearson correlation. b. Determine is the correlation coefficient is significant or not. c. If you were trying to predict someone's self-esteem from their academic self-efficacy, what would the equation be? d. If someone had a score of 83 for academic self-efficacy, what would be the best estimate of their self-esteem score? e. If someone had a score of 54 for academic self-efficacy, what would be the best estimate of their self-esteem…
- Beer and blood alcohol content. Many people believe that gender, weight, drinking habits, and many other factors are much more important in predicting blood alcohol content (BAC) than simply considering the number of drinks a person consumed. Here we examine data from sixteen student volunteers at Ohio State University who each drank a randomly assigned number of cans of beer. These students were evenly divided between men and women, and they differed in weight and drinking habits. Thirty minutes later, a police officer measured their blood alcohol content (BAC) in grams of alcohol per deciliter of blood. The scatterplot and regression table summarize the findings. (a) Describe the relationship between the number of cans of beer and BAC.(b) Write the equation of the regression line. Interpret the slope and intercept in context.(c) Do the data provide strong evidence that drinking more cans of beer is associated with an increase inblood alcohol? State the null and alternative…An article gave the following data on median worker pay (in thousands of dollars) and the 1-year percent change in stock price for the 13 highest paying companies in the United States. Percent Change in Stock Price Company Company 1 Company 2 Company 3 Company 4 Company 5 Company 6 Company 7 Company 8 Company 9 Company 10 Company 11 Company 12 Company 13 80 60 40 20 Median Worker Pay - 20 - 40 USE SALT 134.7 132.2 125.0 122.8 122.5 121.2 121.2 119.0 118.0 118.0 117.6 117.4 (a) Construct a scatterplot for these data. Percent Change in Stock Price 115.1 115 120 125 130 135 140 21.5 92.4 34.0 52.0 41.8 2.7 5.0 30.2 8.1 37.5 15.7 21.8 -44.8 Median Worker Pay Percent Change in Stock Price 80 60 40 20 - 20 -40 115 120 125 130 135 140 (b) Calculate the value of the correlation coefficient. (Round your answer to four decimal places.) Median Worker Pay Interpret the correlation coefficient. O There is a moderate, positive association between the percent change in stock price and median worker…In the digital age of marketing, special care must be taken to make sure that programmatic ads appearing on websites align with a company's strategy, culture and ethics. For example, in 2017, Nordstrom, Amazon and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 4 6 7 3 6 6 3 5 6 4 5 5 5 5 6 5 6 6 Find the value of the test statistic. Find the p-value. (Round your answer to three decimal places.) p-value = (b) At the ? = 0.05 level of significance, we can conclude that there are differences in the perceptions for marketing…