Q9 Answer TRUE or FALSE for the statements below: The Pearson correlation coefficient (r) measures the degree of association between two variables. The two populations are not identical is the alternative hypothesis in the Mann-Whitney U test. The run test is applied for testing the randomness of the samples. i. ii. iii.
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Answer TRUE or FALSE for the statements below:
The Pearson correlation coefficient (r) measures the degree of association between two
variables.
The two populations are not identical is the alternative hypothesis in the Mann-Whitney
U test.
The run test is applied for testing the randomness of the samples.
i.
ii.
iii.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c917d8d-521b-4c3c-9911-149e3e1007ee%2F4a6f3e35-5b91-44a6-8b73-7cc99da5823f%2Fax5w2er_processed.jpeg&w=3840&q=75)
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- Correlation (or covariation) means that: Select one: A. the variables involved "go together". B. we have failed to establish an empirical relationship. C. the proposed relationship is spurious. D. there are at least two independent variables.4. Compute the Pearson correlation for the following data. X Y 3 1 4 5 2 A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above. a. Use a two-tailed test with a = .05. Conduct the four steps for hypothesis testing and label each step: Stepl, Step 2, Step 3, and Step 4. b. Write a sentence regarding your results. c. Calculate the regression equation for this data set. d. What are the predicted Y scores for the following X scores: X=1, X=7, X=10, X-12. 2364nA professor at the University of New Hampshire was interested in evaluating the effect of the unemployment rate on the incarceration rate. Using data from 50 states and the District of Columbia (n = 51), the researcher computed the Pearson’s correlation coefficient between the two variables. The results are presented below. Correlations Incarceration Unemployment Incarceration Pearson Correlation 1 .209 Sig. (2-tailed) .142 N 51 51 Unemployment Pearson Correlation .209 1 Sig. (2-tailed) .142 N 51 51 Question What is the sample? What is the dependent variable? What is the independent variable?
- Compute the Pearson correlation for the following data.X: 2, 3, 6, 4, 5 Y :3, 1, 5, 4, 2 A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above. Use a two-tailed test with a = 0.1. Conduct the four steps for hypothesis testing and label each step: Step1, Step 2, Step 3, and Step 4.you are given the following information about x and y. xi independebt varible yi dependent varible 4 12 6 3 2 7 4 6 The sample correlation coefficient equals _____.4 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 8 3 7 0 6 5 6 GPA 2.7 2.3 3.4 2.4 3.5 2.9 2.7 2.8 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ r ρ == 0H1:H1: ? ρ r μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. 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. 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. There is statistically…
- A professor at the University of New Hampshire was interested in evaluating the effect of the unemployment rate on the incarceration rate. Using data from 50 states and the District of Columbia (n = 51), the researcher computed the Pearson’s correlation coefficient between the two variables. The results are presented below. Correlations Incarceration Unemployment Incarceration Pearson Correlation 1 .209 Sig. (2-tailed) .142 N 51 51 Unemployment Pearson Correlation .209 1 Sig. (2-tailed) .142 N 51 51 Using an alpha level of 0.05 and the four steps of the hypothesis testing process, test the research hypotheses that unemployment increases incarceration. Step 3 Step 4 Based on your decision to step 4 what type of error might you be making?2A 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 GPA 6 3 4 4 7 6 2.2 2.2 2.3 2 2 3.4 3.8 1.9 2.3 a. Find the correlation coefficient: r= Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: Hj: ?v + 0 = 0 The p-value is: (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 a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. There is statistically significant 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 there is a correlation between the number of lovers students have had in…
- The scatterplot below shows the relationship between two random variables X and Y. (a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not? Regardless of your answer suppose you calculated the sample correlation between X and Y and found that r = -0.15. Explain in one sentence what this means. (b) If, as noted in (a), r = -0.15 then what is the value of the correlation between 2X and 5Y? (c) Based on (b) draw your best approximation to the least squares regression line that fits the data above. Also, make a rough sketch of the corresponding residual plot.A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete. Is the linear correlation coefficient significant? Set up the appropriate hypothesis to test the significance. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10 Group of answer choices H0: r = 0 and Ha: r ≠ 0 H0: r ≠ 0 and Ha: r = 0 H0: ρ = 0 and Ha: ρ ≠ 0 H0: ρ ≠ 0 and Ha: ρ = 0Let x be the average number of employees in a group health insurance plan, and let y be theaverage administrative cost as a percentage of claims. The following data is based on a randomsample:x 5 7 15 25 35y 40 35 30 20 25a. Plot a scatter diagram of the above data.b. Estimate the sample correlation coefficient r as positive, zero, or negative.c. Interpret your results from parts a. and b.
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