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Homework: Section 14.EOC Homework Question 6, 14.EOC.61-E HW Score: 3.76%, 0.49 of 13 points Part 1 of 6 Score: 0.13 of 1 Save A medicine board would like to investigate the theory that a mother's shoe size can be used to predict an infant's birth weight in pounds. The accompanying table records a random sample of the shoe sizes of 10 mothers and the birth weights of their infants. Complete parts a through c. Click the icon to view the table showing shoe size and birth weight. X Table of shoe size and birth weight Shoe Size Birth Weight 7.5 7.0 8.0 7.9 9.0 8.2 8.5 9.4 8.5 7.8 8.0 7.0 8.5 9.1 7. 6.5 a. Calculate the correlation coefficient for this sample. The correlation coefficient is (Type an integer or decimal rounded to three decimal places as needed.) b. Using a = 0.05, test to determine if the population correlation coefficient is greater than zero. The hypotheses for this test are The test statistic is. (Type an integer or decimal rounded to two decimal places as needed.) The p-value is (. (Type an integer or decimal rounded to three decimal places as needed.) Therefore, at the 0.05 level of significance, the null hypothesis. There sufficient evidence to conclude that the population correlation coefficient is ---. ... zero. c. What conclusions can be made based on these results? The conclusion is that there ... linear relationship between shoe size and birth weight.E Homework: Section 14.EOC Homework Question 2, 14.EOC.57-E HW Score: 0.7%, 0.09 of 13 points Part 1 of 6 Score: 0 of 1 Save As a measure of productivity, a cell phone company records the number of customers each of its retail employees activates weekly. An activation is defined as either a new customer signing a cell phone contract or an existing customer renewing a contract. The accompanying table shows the number of weekly activations for eight randomly selected employees along with their job-satisfaction levels rated on a scale of 1-10 (10 = Most satisfied). Complete parts a through c. EffClick the icon to view the table showing activations and satisfaction. - X Table of activations and satisfaction Activations Satisfaction 36 8.0 22 7.9 40 8.5 40 9.0 19 6.1 25 7.0 31 8.2 25 7.7 Print Done a. Calculate the correlation coefficient for this sample. b. Using a = 0.01, test to determine if the population correlation coefficient is not equal to zero. c. What conclusions can be made based on these results a. Calculate the correlation coefficient for this sample. b. Using a = 0.01, test to determine if the population correlation coefficient is not equal to zero. c. What conclusions can be made based on these resultsHomework: Section 14.EOC Homework Question 3, 14.EOC.58-E HW Score: 0.7%, 0.09 of 13 points Part 1 of 7 Save Score: 0 of 1 As a measure of productivity, a cell phone company records the number of customers each of its retail employees activates weekly. An activation is defined as either a new customer signing a cell phone contract or an existing customer renewing a contract. The accompanying table shows the number of weekly activations for eight randomly selected employees along with their job-satisfaction levels rated on a scale of 1-10 (10 = Most satisfied). Complete parts a through d. Click the icon to view the table showing activations and satisfaction. - Table of activations and satisfaction Activations Satisfaction 36 8.0 27 7.9 41 8.5 37 9.0 19 6.1 27 7.0 33 8.2 23 7.7 Print Done a. Calculate the coefficient of determination. b. Using a=0.10, test the significance of the population coefficient of determination. Calculate the coefficient of determination. c. Construct a 99% confidence interval for the average number of activations made by an employee with a job-satisfaction score of 8.2. d. Construct a 99% prediction interval for the number of activations made by an employee with a job- satisfaction score of 8.2.Homework: Section 14.EOC Homework Question 1, 14.EOC.56-E HW Score: 0%, 0 of 13 points Part 2 of 6 Score: 0 of 1 Save As a measure of productivity, a cell phone company records the number of customers each of its retail employees activates weekly. An activation is defined as either a new customer signing a cell phone contract or an existing customer renewing a contract. The accompanying table shows the number of weekly activations for eight randomly selected employees along with their job-satisfaction levels rated on a scale of 1-10 (10 = Most satisfied). Complete parts a through f. TClick the icon to view the table showing activations and satisfaction. a. Construct a scatter plot for these data. Let satisfaction be the independent variable and let activations be the dependent variable. Choose the correct graph below. O B. - X O D. 50- Table of activations and satisfaction 60 1 Activations Activations Activations Activations Satisfaction 35 8.0 10- 10- 26 7.9 10 Satisfaction Satisfaction 38 Satisfaction 8.5 37 9.0 b. Calculate the slope and y-intercept for the regression formula. 16 6.1 The slope is and the y-intercept is . 28 7.0 (Type integers or decimals rounded to three decimal places as needed.) 34 8.2 23 7,7 Print Done c. provide an interpretation for the value of the slope. the slope indicates an increase of corresponds to of d. predict the number of activations for an employee with a satisfaction level of 7.5. e. calculate the sstHomework: Section 14.EOC Homework Question 4, 14.EOC.59-E HW Score: 0.7%, 0.09 of 13 points Part 2 of 6 Score: 0 of 1 Save As a measure of productivity, a cell phone company records the number of customers each of its retail employees activates weekly. An activation is defined as either a new customer signing a cell phone contract or an existing customer renewing a contract. The accompanying table shows the number of weekly activations for eight randomly selected employees along with their job-satisfaction levels rated on a scale of 1-10 (10 = Most satisfied). Let satisfaction be the independent variable and let activations be the dependent variable. Complete parts a through c. Click the icon to view the table showing activations and satisfaction. Table of activations and satisfaction X a. Using a = 0.02, test the significance of the regression slope. The hypotheses for this test are Ho: B, =0 and H1 : B, #0. Activations Satisfaction The test statistic is]. 35 8.0 26 7.9 (Type an integer or decimal rounded to two decimal places as needed.) 40 8.5 36 9.0 16 6.1 27 7.0 32 8.2 23 7.7 CI Print Done The test statistic is (Type an integer or decimal rounded to two decimal places as needed.) The p-value is (Type an integer or decimal rounded to three decimal places as needed.) Therefore, at the 0.02 level of significance, the null hypothesis. There sufficient evidence to conclude that the slope is zero. b. Construct a 98% confidence interval for the population slope. The confidence interval is . (Type integers or decimals rounded to three decimal places as needed.) c. What conclusions about missed classes and final grade can be drawn from these results? The conclusion is that there a linear relationship between missed classes and final grade because the null hypothesis rejected and because the confidence interval for the population slope 0.Homework: Section 14.EOC Homework Question 5, 14.EOC.60-E HW Score: 2.8%, 0.36 of 13 points Save Part 1 of 6 Score: 0.18 of 1 A medicine board would like to investigate the theory that a mother's shoe size can be used to predict an infant's birth weight in pounds. The accompanying table records a random sample of the shoe sizes of 10 mothers and the birth weights of their infants. Complete parts a through f Click the icon to view the table showing shoe size and birth weight. a. Construct a scatter plot for these data. Choose the correct graph below. O A. O B. O c. OD. Q 10- 10- o Q Birth Weight Birth Weight Shoe Size Shoe Size 10 Birth Weight Shoe Size Shoe Size Birth Weight Table of shoe size and birth weight X Shoe Size Birth Weight 7.5 7.2 8 0 7.8 9.0 8.0 8.5 9.6 8.5 7.7 8.0 Click to select your answer and then click Check Answer. 7.0 8.5 9.2 7.5 6.6 Help Me Solve This View an Example Get M 8.0 9.1 Clear All Check Answer 9.0 9.7 b. Calculate the slope and y-intercept for the regression formula. The slope is and the y-intercept is (Type integers or decimals rounded to three decimal places as needed.) c. Provide an interpretation for the value of the slope. The slope indicates an increase of one in shoe size corresponds to an increase of { in the average birth weight in pounds. (Type an integer or decimal rounded to three decimal places as needed. d. Predict the birth weight for a shoe size of 8.0. The predicted birth weight is ~ pounds. (Type an integer or decimal rounded to one decimal place as needed.) e. Calculate the SST. SST = 1 (Type an integer or decimal rounded to two decimal places as needed.) f. Partition the SST into the SSR and the SSE. SSR = and SSE = (Type integers or decimals rounded to two decimal places as needed.)