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2) A nonprofit analyst seeks to determine which variables should be used to predict nonprofit charitablecommitment, a nonprofit organization commitment to its charitable purpose. Two independent variables under consideration areRevenue, a measurement of total revenue, in billions of dollars, as a measure of nonprofit size X1 and Efficiency, a measurement of the percent of private donations remaining after fundraising expenses as a measure of nonprofit fundraising efficiency X2. The dependent variable Y is Commitment, a measurement of the percent of total expenses that are allocated directly to charitable services. Data are collected from a random sample of 95 nonprofitorganizations, with the results provided in the accompanying table. Complete parts (a) through (c) below.
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- 6. Assume that the scatterplot shows the median volume and median value of used cars over the years in the UK used car market. (a) As the data are graphed, which is the independent and which is the dependent variable? (b) Why do you suppose median value and volume have been used instead of the mean? (c) Using the graph, estimate the median value of sales if the median volume of used cars sold is 2.3 million. (d) Use the equation to predict the median value of sales if the median volume of used cars sold is 2.3 million. (e) What other factors besides the price of used cars might influence the volume of used cars sold? Value = 30.97 – 1.211 Volume 40 35 30 25 20 - 15 10 - 0+ 1.5 2 2.5 Median Volume of Used Cars Sold (in millions) Median Value of Used Car Sales (in billions of pounds)arrow_forwardAn online clothing company is keeping track of their customers purchases. Company also offers a credit card where customers get additional offers if they use that card when they make purchases from their online store. For those customers who has their credit card, the company has additional information such as age, yearly income, etc. The company management is interested in looking at the relationship between the income (in 1000s of dollars) and the total yearly purchases from their store for these credit card holders . They have gathered this information from a random sample of 42 credit card holders. Below provided is a partial MINITAB output for predicting the yearly purchases from the income. Identify the response and the predictor variable in this study. Write the equation of the least squares regression line for predicting the total yearly purchase from the income of the customer. What percentage of variation in total yearly purchase is explained by income of the customer?…arrow_forwardEach year forbes ranks the world’s most valuable brands. A portion of the data for 82 ofthe brands in the 2013 forbes list is shown in Table 2.12 (forbes website, february, 2014).The data set includes the following variables:brand: The name of the brand.Industry: The type of industry associated with the brand, labeled Automotive& Luxury, Consumer Packaged Goods, financial Services, Other, Technology.brand Value ($ billions): A measure of the brand’s value in billions of dollarsdeveloped by forbes based on a variety of financial information about the brand.1-Yr Value Change (%): The percentage change in the value of the brand over theprevious year.brand Revenue ($ billions): The total revenue in billions of dollars for the brand.a. Prepare a crosstabulation of the data on Industry (rows) and brand Value ($ billions).Use classes of 0–10, 10–20, 20–30, 30–40, 40–50, and 50–60 for brand Value($ billions).b. Prepare a frequency distribution for the data on Industry.arrow_forward
- Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on assets (ROA), an indicator of how profitable a company is relative to its total assets. Data collected from a sample of 20 community banks include the ROA (%), the efficiency ratio (%), as a measure of bank productivity (the lower the efficiency ratio, the better), and total risk-based capital (%), as a measure of capital adequacy. Complete parts (a) through (g) below. Click the icon to view the data table. a. State the multiple regression equation. Let X₁¡ represent the efficiency ratio (%) and let X₂¡ represent the total risk-based capital (%). Ŷ₁=+X₁₁+Xzi (Round the constant to two decimal places as needed. Round the coefficients to four decimal places as needed.) Distribution Costs ROA (%) 1.04 0.77 0.14 1.44 0.90 1.16 1.07 1.58 1.45 1.15 1.17 3.40 0.86 0.66 0.81 1.14 0.83 0.86 1.14 1.04 TOlal Efficiency…arrow_forwardI need help phrasing a quantitative research question. The topic is on Health, it is focused on Widowed Americans as the dependent variable, and their quality of life (Excellent - Poor)as the independent variable. An overlapping variable would be sex (male - female).arrow_forwardThe data set Pain contains hypothetical data for a clinical trial of a drug therapy to control pain. The clinical trial investigates whether adverse responses increase with larger drug doses. Subjects receive either a placebo or one of four drug doses (1, 2, 3, or 4 units). An adverse response is recorded as Adverse = 'Yes'; otherwise, it is recorded as Adverse = 'No'. The number of subjects for each drug dose and response combination is contained in the variable Count. (a) Construct a contingency table that corresponds to the data set created above. What type of variable is Dose? (B) Compute the sample proportions of adverse responses at each dose level. Do you observe any trend in the proportion of adverse responses with respect to dose level? (C) Conduct a Cochran-Armitage trend test at the 5% significance level to address the interests of the trial.arrow_forward
- Relate how the independent and dependent variables affect each other.arrow_forwardSuppose researchers at an abdominal transplant clinic are concerned about the rate of graft loss due to diabetes status prior to receiving a donor kidney. Research has shown that gender discordance, or receiving a gender from a donor of an opposite gender may increase the risk of both exposure and outcome after transplant. Assume the following tables represent the stratified analysis of the potential confounding variable. (9 points) Gender Discordance Graft Failure No Graft Failure Total Diabetes II 23 10 33 No Diabetes II 4 44 48 Total 27 54 81 Gender Concordance Graft Failure No Graft Failure Total Diabetes II 9 34 43 No Diabetes II 12 87 99 Total 21 121 142 A) Calculate the stratum specific estimates for the odds ratios in each strata. B) Observe the difference in the odds ratios. Based on observation alone, what are we likely to conclude regarding the relationship between outcome and exposure…arrow_forwardConsidering yourselves to be observational units, explain why the following are not variables: Average amount of hours worked in the past 24 hours among students in our class. Proportion of students in our class who are first-generation college students Have left-handers read more Harry Potter books, on average, compared to right-handers?arrow_forward
- Indicate the dependent and independent variables, the number of levels for each independent variable, and whether each variable is within-subjects or between subjects 1. Individuals with anorexia and individuals with bulimia take a cognitive distortions test upon entering a treatment program for eating disorders and again three weeks later.arrow_forwardSusan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits her clients made to the gym each week and the average amount of time her clients exercised per visit. She took the following data. Client 1 2 3 4 5 6 Number of visits per week 1 3 4 2 3 5 Average time spent exercising per visit (hours) 2 1.5 1 2 2 0.30 Using the best fit line, estimate the average time spent exercising per visit for 4 visits per week. Group of answer choices 1.03 hours 1 hour 10.3 hours 2 hoursarrow_forward
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