3. Using the same data in #2, a. Calculate Spearman's r. b. Which of the two correlation coefficients is more appropriate, in your opinion, for this case? Explain your answer.
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- Please answer the question mentioned in uploaded pic:Ramona measures how positive a person’s mood is and how creative he or she is and predicts that there is a relationship. She obtained the following interval scores: Mood (X) Creativity (Y) 10 7 8 6 9 11 6 4 5 5 3 7 7 4 2 5 4 6 1 4 Compute the correlation coefficient. What are H0 and Ha? With α = 0.05, what is rcrit? What should she conclude about this relationship? Calculate the proportion of variance accounted for.A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies Books 1 4 3 12 2 9 0 13 3 7 4 8 0 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ? = 0 H₁: ? 0 The p-value is: d. 72 = e. 4 2 4 0 1 c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. Round to 2 decimal places. O There is statistically significant evidence to conclude that a person who watches more movies will read fewer books than a person who watches fewer movies. Round to 4 decimal places. O There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate. There is statistically significant…
- 1. The Gross Horsepower of a car can influence the mileage of the car. A random sample of 32 different cars’ Gross Horsepower and mileage (Miles/gallon) is collected. From the data, suppose you got the following results: Pearson’s correlation coefficient: -0.90 The fitted regression line: Ŷ = 30. 10 − 0. 07 X a. Identify the Independent and dependent variable. Give a justification of your answer.b. Interpret the value Pearson’s correlation coefficient. c. From the fitted regression line interpret the slope parameter. d. Find the value of R and comment. e. From the fitted model find the values of Y for given values of X as 110. How do you interpret this value?The following zero order correlation coefficients are given : r12 = 0.5 r13 = 0.6 r23 =.7 %3D Calculate the multiple correlation coefficients R1,23, R2.13 and R3.12Which of the following measures of correlation is limited in applicability to linear relationships? Select one: а. Intraclass correlation O b. Spearman's Rho Ос. Kendall's Tau O d. Pearson
- Which of the following is true regarding weak correlation coefficients? a. They indicate a slight causation between variables. b. They are found only with Pearson r coefficients. c. They may be the result of restricted range for one of the variables. d. They are rarely found in social science research.A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes they make on a simple test. He records the following data: Hours without sleep, x 30 36 48 24 42 30 36 42 Number of MIstakes, y 6 8 15 7 10 7 10 12 Test Ho: p = 0 against H,: p± 0 at a = 0.05. The correlation coefficient r = 0.903 has been computed from the data. a) Give the critical value or values. b) Compute the value of the test statistic.A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 4 6 GPA 0 2.9 2.9 3.5 3 0 3.4 3.3 140 8 1.7 2 3.3 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: H₁: The p-value is: 6 6 2.4 1.9 Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. O There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. O There is statistically significant evidence to conclude that…
- 5. Use the following table to answer the question given below. Coefficient of correlation Dimension Sig (p) with variable F A -0.053 0.000 B 0.821 0.000 C -0.755 0.000 D 0.255 0.000 E -0.632 0.000 7 Comment on the correlation coefficient values (i.e. the relationship and its strength) given in the above table.This is a continuation of the last question I posted: f. The value of linear correlation coefficient r is i. 0.948 ii. 0.974 iii. -0.948 iv. -0.974 g.Based on your answer in part (f), the linear dependance between weekly exercise time and change in cholesterol level is strong negative i. True ii. False H. When weekly exercise time is 460 minutes (approximately 66 minutes per day), the 95 percent confidence interval for change in cholesterol level is (197.3, 225.4). This means that: i. If one person exercises 460 minutes per week, his/hers change in cholesterol level will be between 197.3 and 225.4 with 95 percent certainty.ii. If several people exercise 460 minutes per week, their average change in choles- terol level will be between 197.3 and 225.4 with 95 percent certainty. I. When weekly exercise time is 460 minutes (approximately 66 minutes per day), the 95 percent prediction interval for change in cholesterol level is (155.1, 267.6). This means that i. If one person…For the following set of data: X LY 3 3 2 4 7 7 Sketch a graph showing the location of the five X,Y points. Just looking at your graph, estimate the value of the Pearson correlation. Compute the Pearson correlation for this data set using the formula sheet handed out in class. а. b. с.