The data show that performance initially increases with training, reaches a high point, and then decreases slightly. Therefore, a curved or quadratic equation may be appropriate.
It answers questions such as:
How quickly is employee turnover increasing?
How does an additional training hour affect performance?
At what salary level is employee satisfaction maximized?
When does hiring one more employee stop being beneficial?
Equation Estimation
Using quadratic regression in Excel, R, SPSS, or Python, we estimate:
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P=a+bT+cT²
The software may produce:
P=50+6T−0.2T²
P = predicted performance
T = training hours
50= intercept or predicted performance with zero training
6= positive initial effect of training
−0.2 = effect responsible for the downward curve
Use calculus on the estimated equation
P=50+6T−0.2T²
dP/dT=0+6−0.4T
6–0.4T=0
T=15
Therefore, the estimated optimal training time is 15 hours. Till 15 hours, the Productivity increases after that it decreases.
