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The problem facing a manager is to assess the impact of factors on full-time (FT) job growth. Specifically, the manager is interest in the impact
The problem facing a manager is to assess the impact of factors on full-time (FT) job growth. Specifically, the manager is interest in the impact of total worldwide revenues and full-time voluntary turnover on the number of full-time jobs added in a year. Data were collected from a sample of 20 "best companies to work for." The data includes the total number of full-time jobs added in the past year, total worldwide revenue (in Smillions), and the full-time voluntary turnover (%). Use the accompanying data to complete parts (a) through (d) below. Click the icon to view the data table. a. State the multiple regression equation. Let X, represent the Total Worldwide Revenues ($millions) and let X2 represent the FT Voluntary Turnover (%). Data of Best Companies to Work For - X (Round the constant and X2j-coefficient to the nearest integer as needed. Round the X,;-coefficient to four decimal places as needed.) FT Total Worldwide Voluntary Total FT Revenues Turnover Jobs Added ($millions) (%) 178 ,900.000 5.990 95 706.757 10.535 - 1,003 3,949.000 16.123 1,160 3,651.328 6.168 355 317.586 15.533 223 746.000 12.064 486 12, 151.797 8.870 2,035 74,000.000 8.281 2,402 24,400.000 11.673 1,654 10,960.000 15.644 - 72 871.800 15.677 2,482 19, 121.000 2.792 87 290.401 4.559 - 19 686.000 9.721 5 888.000 10.837 207 46, 100.000 5.728 1,357 27,706.772 3.346 415 43.900 4.504 314 3,319.000 18.283 252 860.815 10.310 Print DoneTotal FT Jobs Added Total Worldwide Revenues FT Voluntary Turnover 178 3900 5.99 SUMMARY OUTPUT 95 706.757 10.535 -1003 3949 16.123 Regression Statistics 1160 3651.328 6.168 Multiple R 0.569756117 355 317.586 15.533 R Square 0.324622033 223 746 12.064 Adjusted R Square 0.245165801 486 12151.797 8.87 Standard Error 794.493918 2035 74000 8.281 Observations 20 2402 24400 11.673 1654 10960 15.644 ANOVA -72 871.8 15.677 df SS MS F Significance F 2482 19121 2.792 Regression 2 5157761 2578880 4.085545 0.035575299 87 290.401 4.559 Residual 17 10730750 631220.6 -19 686 9.721 Total 19 15888511 888 10.837 207 46100 5.728 Coefficients andard Err t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 1357 27706.772 3.346 Intercept 634.2635731 491.1855 1.291291 0.213886 -402.0473142 1670.574 -402.0473142 1670.57446 415 8843.9 4.504 Total Worldwide Revenues 0.024252789 0.010185 2.381335 0.029207 0.002765301 0.04574 0.002765301 0.045740277 314 3319 18.283 FT Voluntary Turnover -30.39647334 41.00332 -0.74132 0.468619 -116.9059192 56.11297 -116.9059192 56.11297248 252 0.815 10.31a. State the multiple regression equation. Let X, represent the Total Worldwide Revenues (5millions) and let X2 represent the FT Voluntary Tumover (%). 9-0+0)X1 +0)X2 (Round the constant and X2j-coefficient to the nearest integer as needed. Round the Xy;-coefficient to four decimal places as needed.) b. Interpret the meanings of the slopes by and by in this problem. Choose the correct answer below. O A. For a given Tumover, for each increase of $1 million in Revenue, the Jobs Added is estimated to increase by by . For a given Revenue, for each increase 1% in Turnover, the number of Jobs Added is estimated to increase by by. O B. For each increase of 1 in both Revenue and Turnover, the Jobs Added is estimated to increase by by + b2. O C. For each increase of 1 in Jobs Added, the Revenue is estimated to increase by Sby million and the Turnover percentage is estimated to increase by by %%. O D. The slopes by and by cannot be interpreted individually. C. Interpret the meaning of the regression coefficient, by. Select the correct choice below. O A. The coefficient by represents the estimated number of total jobs added when there is a total worldwide revenue of $0 and a voluntary turnover of 0%%. O B. The coefficient by represents the estimated number of total jobs added when there is a voluntary turnover of 0%%. O C. The coefficient by represents the estimated number of total jobs added when there is a total worldwide revenue of $0. O D. The coefficient by represents the total worldwide revenue and a voluntary turnover. d. What conclusions can you reach concerning full-time jobs added? Select the correct choice below. O A. The model uses the voluntary turnover to predict the number of full-time jobs added. The revenue only affects the voluntary turnover directly. O B. The model uses the revenue to predict the number of full-time jobs added. The voluntary turnover only affects the efficiency ratio directly. O C. The model uses both the revenue and the voluntary turnover to predict the number of full-time jobs added. O D. The model uses the revenue or the voluntary turnover to predict the number of full-time jobs added, but not both
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