Question

Managers in a certain large company rate employees based on attitude and productivity. A random sample of employees had the following ratings. 75 Attitude (x) Productivity (y) 77 62 67 69 81 96 75 67 87 98 92 100 83 89 87 91 80 a) Find the least squares regression line b) Interpret the slope in context c) Describe the relationship between attitude and productivity (be sure to mention the 3 aspects) d) Find the value of the coefficient of determination and interpret it in context e) Find the residual for the employee with an attitude rating of 83 f) Predict the productivity of an employee with an attitude rating of 50. Are you confident in this prediction? Explain.

Answer 1

Soins let X Rating of employees based on at Htude y : Produchufty of employee. (eating). The least square regression equation for the given data be Bo + BC Y We how to estimate Bo and Bi We know that 300-3) Cyprū2 & Car - 57² ia and Bo 11 y - B; * z Here 80.4444 4 83.5556 sy (17=C) 97-4) Tan 721 783.7778 and 478,2222 Ta B and Ro 933.7778 1.5344 478.2222 7 - 8 * * Square regression equation = -39.8713 - The least is y = 1.5344 * X - +39.8713

b) The slope is 1.5344 . This means that for the unit Tocrement on the basis of in rating of employee attitude leads to 1.5344 timer the expected productiv OF an employees productivity Correlation coefficient Courai4J 우약 CooT) curg) TE CHEZA)? Co Cup-9)) 33.778 1478.222 (1682.222) iro 0.818) from the Correlation coeficient value wk can say that there is a strong correlation Grey between attitude of employee ord produchuity of As the afiitude of employee lee towards the corle mproveg the productivity also proues di coercicient of determination R² = r² 0.8/8/2 employee explained R = 016693 66.93 %. of variation to variaton Бу

Date 1.e He can say the variation in attitude helps improve produ ductivity of the employers to 67% employees to