A researcher measures the following correlation between number of years of education and life satisfaction: r = + 0.08. What is the value of the coefficient of determination?
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- You think that the amount of scale of industrial growth is directly related to number of species that go extinct in different countries. You have the following data showing the industrial growth rating with 0 being no industrial growth and 10 being the most industrial growth. Complete an 8-step hypothesis test to find if the correlation between the two is significant. Industrial Growth Score Number of Species going Extinct per year 6. 8. 10 15 20 3. 7.2. The demand for hand sanitizers is off the charts due to this corona virus outbreak. People are in desperate need of hand sanitizers. Therefore, FMCGS like Unilever Bangladesh Limited is producing this life essential product in a bulk amount to help the citizens across Bangladesh to maintain the hygiene standards. Sales figures and profits for the stores are given in the following table: Unit Sales Profit (Taka) X Y 12 1000 13 1550 14 1600 15 1800 17 1900 18 2200 21 2700 25 3500Assuming the lowest decile of men receive an average of $800/month in Social Security, while the highest decile receive $2200/month in Social Security how much does each receive (on average) during their years in retirement. Use the chart called: Predictive Years of Receiving Social Security Benefits. Also use the born in 1940 data.
- A researcher was interested in the relationship between number of close friends and self-esteem. A sample of 40 participants were recruited and asked to report the number of close friends they had, as well as their level of self-esteem. The data showed a positive correlation, such that having more close friends was associated with having higher self-esteem, r(38) = .45. Here are the descriptive statistics for the two variables: Close Friends Self-Esteem Mean 8.90 5.20 SD 3.75 2.15 In a regression equation predicting self-esteem, what is the value of b?A) 0.258B) 0.263C) 0.785D) 0.573 In a regression equation predicting self-esteem, what is the value of a?A) -1.787B) 7.496C) 2.904D) 4.818 One participant named Jesse reported that they had 4 close friends. Based on the regression equation, what would Jesse’s predicted self-esteem score be?A) 3.936B) 1.353C) 7.958D) 8.528 If Jesse’s actual self-esteem score was 5, what is the residual score?A) -2.958B) 3.647C) -3.528D)…Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes. Mean call-to-shock time, x 2 6 79 12 Survival rate, y (a) Construct a scatterplot for these data. y 12. 10 O 8 6 20 40 60 91 44 32 6 4 80 100 y 100 80 60 ELL 40 20 2 4 6 8 X 12 10 8 6 4 20 40 60 (b) Find the equation of the least-squares line. (Round your values to four decimal places.) ŷ= Jx 80 100 10 12 (c) Use the least-squares line to predict survival rate for a community with a mean call-to-shock time of…A researcher wanted to know the relationship between sales per 24h in a department store, the amount of rain that day (in mm) and the mean age of 1000 customers. The SPSS output is presented below. What is the correct way to report the correlation between sales per 24h and rainfall that day in APA style? Question 24 options: r(16) = -.909, p<.001 r(18) = -.909, p=.000 r(18) = -.909, p<.001 r(16) = -.909, p=.000
- A study was conducted to determine if the number of hours of sleep per night was related to exam performance on an exam taken the following day. The correlation coefficient was found to be .78. Which statement is FALSE? The relationship between hours of sleep and exam performance the following day is strong. As the number of hours of sleep increases, exam performance is also expected to increase at a similar rate. The r-value is .78. The number of hours of sleep cannot be used to estimate or predict possible performance on an exam the following day.An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular interest was whether higher income would result in shoppers spending more on groceries. A random sample of shoppers at a local supermarket was obtained, and a questionnaire was administered asking about the weekly income of the shopper’s family and the grocery bill for that week. The correlation was found to be r=0.675. The percentage (to two decimal places) of variation in grocery bills explained by the family's weekly income regression line is:Please explain
- A researcher is interested in testing the relationship between height and weight in a sample of 100 people. The sample Pearson's r is calculated to be 0.7. What can the researcher conclude about the relationship between height and weight?Suppose that you are interested in the relationship between Reading and Writing scores. (a) Provide the scatterplot for the association between Reading and Writing scores. Based on the scatterplot, do you expect Reading to be correlated with Writing? If so, based only on the plot, would you expect the correlation to be positive or negative? Explain your answer. (b) Report the value of the correlation between Reading and Writing scores, and whether it is statistically significant. Do these results agree with your expectations from part (a)? RDG WRTG 34 44 47 36 42 59 39 41 36 49 50 46 63 65 44 52 47 41 44 50 50 62 44 41 47 40 42 59 42 41 47 41 60 65 39 49 57 54 73 65 47 46 39 44 35 39 39 41 48 49 31 41 52 63 47 54 36 44 47 44 34 46 52 57 42 40 37 44 44 33 71 58 47 46 42 33 42 36 47 41 52 54 52 54 39 39 31 41 60 54 47 31 39 28 42 36 47 57 42 49 36 41 50 33 34 34 55 55 28 46…An r value of .8 indicates a strong positive correlation. True False
