2025-06-10T12:08:45-06:00 2025-06-10T12:08:45-06:00 2025-06-10T12:08:45-06:00 Acrobat Pro 24.2.20964 xml uuid:727afe59-ab15-554a-8d70-8fa0dd2359db uuid:0bd4b515-a5ad-6e4d-8624-b20c31bfa7ae Acrobat Pro 24.2.20964

1Third semester student of the Bachelor's Degree in Economic and Financial Engineering, La Salle University, Mexico City, luiscadena@lasallistas.org.mx

2Third semester student of the Bachelor's Degree in Economic and Financial Engineering, La Salle University, Mexico City, vhuerta@lasallistas.org.mx

=𝑎0

𝑌𝑖 +𝑎1𝑋1𝑖+𝑎2𝑋2𝑖+⋯+𝑎𝑘𝑋𝑘𝑖+𝑈𝑖

𝑌𝑖𝑋1,𝑋2,…,𝑋𝑘𝑎𝑗

𝜕𝑌𝑖

=𝑎𝑗

𝑗
=1,2,...,𝑘

𝜕𝑋𝑗𝑖

𝑈𝑖

𝑎𝑗(𝑗=1,2,...,𝑘)

𝑌𝑖

𝑋1,𝑋2,…,𝑋𝑘

𝑌̂𝑖=

𝐸(𝑌𝑖|𝑋1,𝑋2,…,𝑋𝑘,)=𝑎̂0+𝑎̂1𝑋1𝑖+𝑎̂2𝑋2𝑖+⋯+𝑎̂𝑘𝑋𝑘𝑖

𝑋1,𝑋2,…,𝑋𝑘 𝑌𝑖

𝐻0:𝑎𝑗=0 vs 𝐻𝑎:𝑎𝑗≠0

𝑗
=1,2,…,𝑘

𝑌𝑖

𝑝𝑣𝑎𝑙𝑢𝑒

Subcontractedpersonnel Totalemployedpersonnel

𝐿𝑠=𝑎−𝑏(𝑇𝑟)+𝑈𝑡

𝐿𝑠=Subcontractedworkers. 𝑇𝑟=Timeelapsedsincethereform.

𝑈𝑡

Is the disturbance in each period

𝐿𝑠

=113822.65−2825.79(𝑇𝑟)

𝑝𝑣𝑎𝑙𝑢𝑒

=0.000),

𝑃𝑣𝑎𝑙𝑢𝑒

0=113822.65−2825.79(𝑇𝑟)

𝑇𝑟𝑇𝑟

2825.79(𝑇𝑟)=113822.65

113822.65

𝑇𝑟= ≈41

2825.79

0.00 100000.00 200000.00 300000.00 400000.00 500000.00 600000.00 0 5 10 15 20 25 30 Subcontracted Personnel Time Elapsed Since the Reform TOTAL SUBCONTRACTED
Date PERIOD ACTUAL ESTIMATION