Question 5 Part I The Human Resource (HR) officer of a distribution centre found out that the staff who work in night shift attached to the sorting operation indicate low efficiency due to fatigue in general. The HR officer is worried that low level of efficiency could be detrimental to the overall performance of the distribution centre. As far as the workplace is concerned, the HR officer believes that efficiency scores are determined mainly by the amount of salary, task clarity, and sleep. Hence the HR officer selects 20 casual employees by random and records their salary, task clarity level, and amount of sleep. Task clarity is coded from 1 (lowest clarity) to 5 (highest clarity). Efficiency is coded from 1 (lowest) to 7 (highest). The collected data are shown in the following table along with a correlation and regression output. Employee Salary ($000) Task clarity Sleep (hours) Efficiency 1 50 3 5 5 2 58 6 6 3 68 5 8 4 65 7 5 45 3 4 6 69 UT 7 7 58 5 8 70 A UT W 9 67 10 66 4 11 70 5 12 67 5 13 47 3 14 62 15 48 2 16 64 4 UI UI HO A O A 17 30 18 60 N W W H 19 62 20 55Please review the following Excel outputs carefully to answer the following questions. SUMMARY OUTPUT Regression Statistics Multiple R 0.984784754 R Square 0.969801012 Adjusted R Square 0.964138702 Standard Error 0.291273552 Observations 20 ANOVA df SS MS Significance F Regression 3 43.59255549 14.53085183 171.2730263 2.27812E-12 Residual 16 1.35744451 0.084840282 Tota 19 44.95 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 1.150001547 0.455666893 -2.523776832 0.02256712 -2.115972208 -0.184030887 -2.115972208 -0.184030887 Salary ($000) 0.0673437 0.014221129 4.735467931 0.000223981 0.037196254 0.097491147 0.037196254 0.097491147 Task clarity 0.757654963 0.127153067 5.958605491 2.00317E-05 0.488102503 1.027207424 0.488102503 1.027207424 Sleep (hours) -0.024287961 0.089724097 -0.270696078 0.790085739 -0.214494549 0.165918627 -0.214494549 0.165918627 Efficiency Salary ($000) Task clarity Sleep (hours) Efficiency 1 Salary ($000) 0.943464162 1 Task clarity 0.959591565 0.869383827 Sleep (hours) 0.860240818 0.848711232 0.851931588 (i) Develop an estimated regression equation that can be used to predict work efficiency given salary, task clarity, and sleep. (2 marks) (ii) Is sleep a significant factor for the work efficiency score? Use