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- 1. A professor is interested in how attendance is related to grades her class. She goes through her records and determines each student’s final average and the number of days absent. The scores for her sample are given in the table below. a. Construct a scatter plot of the relationship between final averages and the number of days absent. b. Is there a significant relationship between final averages and the number of days absent? Calculate and interpret the correlation and report it in proper APA format. c. Compute r2 for the data. What percent of the variability in final averages is accounted for by the number days absent?9. The Spearman rank-order correlation coefficient is used to quantify of the direction and strength of the relationship between two ________ variables. interval ratio nominal ordinalThe accompanying table shows the earnings per share (in dollars) and the dividends per share (in dollars) for 6 companies in a recent year. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. (a) Display the data in a scatter plot. Choose the correct.graph below. OA. OB. В. Oc. OD. 3- 9- Q Q 2- 6- 6- 3- 3- 04 3. Eamings per share (S) Eamings per share ($) 0. Eamings per share (S) Eamings per share (S) (b) Calculate the sample correlation coefficient r. - X Data Table (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. Earnings per share, x Dividends per share, y O 1.36 1 There is V linear correlation. 4.3 0.59 3.56 8.27 1.74 2.47 Interpret the correlation. Choose the correct answer below. 1.19 0.67 1.6 2.82 O A. Increases in companies' eamings per share cause their dividends per share…
- 2. Please reference attachmentUse the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 8 13 9. 11 14 6. 4 12 7 9.14 8.14 8.74 8.78 9.27 8.09 6.14 3.09 9.14 7.25 4.73 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. O A. O B. С. D. Ay 10- 10- 10- 8- 10- 8- 8- 6- 8- 6- 6- 4- 6- 4- 4- 2- 4- 2- 2- ........... 0- 2- 0+ 4 0. 4 8. 12 16 0- 8 12 16 0- 4 8 12 16 4 8. 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. O A. There is sufficient evidence to support the claim of a nonlinear…The readout of the correlation is r = 0.8162 with a p-value of 0.0022. What does the scatterplot reveal that is missed from the correlation results?
- 3.If the r value = .913, how do you classify it? Group of answer choices Weak Negative Correlation Strong Negative Correlation Weak Positive Correlation Strong Positive CorrelationUse the given data set to complete parts (a) through (c) below. (Use a = 0.05.) х 10 8 13 11 14 4 12 У 9.14 8.14 8.74 8.77 9.25 8.09 6.14 3.11 9.13 7.26 4.74 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. ici O A. B. OC. OD. Ay 10- Ay 10- Ay 10- Ay 10- 8- 8- 8- 8- 6- 6- 6- 6- 4- 4- 4- 4- 2- 2- 2- 2- 0- 0+ 0+ 4 0+ 4 12 16 8 12 16 12 16 4 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. A. There is insufficient evidence to support the claim of a linear correlation between…Refer to the accompanying scatterplot. The four points in the lower left corner are measurements from women, and the four points in the upper right corner are from men. Complete parts (a) through (e) below. 12- 3- :: 3 6 12 b. Examine the pattern of the four points in the upper right corner (from men) only, and subjectively determine whether there appears to be a correlation between x and y for men. Choose the correct answer below. O A. There appears to be a linear correlation because the points form an obvious pattern. B. There does not appear to be a linear correlation because the points do not form a line. O C. There does not appear to be a linear correlation because the points form an obvious pattern. O D. There appears to be a linear correlation because the points form a line. c. Find the linear correlation coefficient using only the four points in the lower left corner (for women). Will the four points in the upper right corner (for men) have the same linear correlation…
- 1. Calculate the correlation coefficient. 2. What do these data indicate about the height of the initial drop of a roller coaster and the duration of the ride? O A. Generally, rides on coasters with a greater initial drop tend to last somewhat shorter, because the correlation indicates a moderate association.O B. Generally, rides on coasters with a greater initial drop tend to last longer, because the correlation indicates a strong association.O C. Generally, rides on qpasters with a greater initial drop tend to last somewhat longer, because the correlation indicates a moderate association.O D. Generally, rides on coasters with a greater initial drop tend to last somewhat longer, because the correlation indicates a weak association.37. A real estate agent believes that the monthly rents of houses depend on the size of the houses. A sample of seven houses is a residential area was selected and the information gathered is shown in table below. Compute the value of correlation coefficient. Interpret your finding. Monthly rent (RM '00), y Size ('00 square feet), X 12.11 10.61 16.07 9.41 15.06 17.08 9.14 14.12 8.16 12.09 14.91 7.17 16.13 11.15
