A study was conducted to determine if taller people earn more money over their career than short peopie, Using data collected rrom 2244 individuals rrorri various Occupation Correlation. r Sample Size. n careers, the researchers computed the correlation between average earnings over the past decade and height, The results are given in the table to the right, Sales Complete par1s a through e below. Managers Blue Collar Service Professional Clerical Forepersons a. Interpret the value of r for managers. Choose the correct answer below A. There is a fairly weak positive linear relationship between height and average earnings over the last decade for managers. B. There is a fairly strong positive linear relationship between height and average earnings over the last decade for managers, Ci C. There is a fairly weak negative linear relationship between height and average earnings over the last decade tor managers, b. Compute the coefficient of determination, r2, for managers. Interpret the result. r2 = (Type an integer or a decimal.) Which statement below best interprets the coefficient of determination? (Type an integer or a decimal ) '..' A- The linear model explains ' 100% ofthe variability around the sample mean height of managers. 'l' B- The linear model explains % of the variability around the sample mean average earnings in the past decade for all of the researched careers. 'l' C- The linear model explains % of the variability around the sample mean average earnings in the past decade for managers, (2. Give H0 and Ha for testing whether average earnings and height are positively correlated for managers. Choose the correct answer below. ':.' A. HO: p=0 and Ha: p0 Q C. H0:p=0 and Ha:p0 0.45 0.37 0.33 0.28 0.31 0.25 0.23 i 18 453 350 267 450 357 249 A study was conducted to determine if taller people earn more money over their career than short people. Using data collected from 2244 individuals from various Occupation Correlation, r Sample Size, n careers. the researchers computed the correlation between average earnings over the past decade and height. The results are given in the table to the right. Sales Complete parts a through e below. Managers Blue Collar Service Professional Clerical Forepersons Ci A. H0: I):0and Ha: p0 i] c. H0: p=Oand Ha: p#0 d. Computer the test statistic for testing H0 and Ha in part c for managers t= D (Round to three decimal places as needed.) e. Use the result obtained in part d to conduct the test at (x = 001. State the appropriate conclusion. What is the p-value? pvalue = (Round to three decimal places as needed.) What is the appropriate conclusion? '1' A. Do not reject Ho: there is sufficient evidence to support Ha- Q B. Reject H0; there is insufcient evidence to support He- '1' C. Relect H0: there is sufficient evidence to support Ha. '.7.' D. Do not reject HO: there is insufficient evidence to support He- 0.45 0.37 0 33 0.28 0 31 0.25 0.23 1 18 453 350 267 450 357 249