III. In the following example, the n = 20 employees (who lost there jobs when their company went bankrupt) were able to find employment within a two year period. The table below gives their previous...

a) Determine the standard deviation of the residuals, s.

b) Determine the predicted value of Y when X = 47.6.

c) Determine the residual for the 12th employee.

Extracted text: III. In the following example, the n = 20 employees (who lost there jobs when their company went bankrupt) were able to find employment within a two year period. The table below gives their previous salary X (in 1000$) and the salary of their new employment Y (in 1000$). 4 5 Employee Previous Salary X (1000S) New Salary Y (1000S) 2 3 6. 7 8 10 43.3 35.1 35.1 32.6 30.5 43.1 40.2 43 37.1 38 40.6 17.3 22 20.8 37.4 43 37.6 59.1 42.7 29.8 Employee 11 12 13 14 15 16 17 18 19 20 Previous Salary X (1000S) New Salary Y (1000S) 39.0 22.6 19.8 43.9 45.0 32.1 55.6 27.3 45.7 56.7 50.9 37.0 23.0 23.2 46.8 33.6 49.3 34.5 46.8 58.2 Note: n= 20, Σx 765.7, Σy-753.6, Σ-3102143, Σν-31274.42 , Σxy30180.25