Task: Functional-Dependency (source dataset: Auto-Relate)

Given a table represented shown below, your task is to determine functional dependencies that exist in the table. Recall that a functional dependency is a relationship where the value of one attribute (or a set of attributes), known as the determinant columns, can uniquely determines the value of another attribute, known as the dependent columns (e.g., student-ID => student-Name, car-model => car-make, employee-ID => department, etc.).

Instructions:
Analyze the provided table below, identify all functional dependencies that should semantically hold in the table. Do not produce spurious relationships that not semantically meaningful.

No explanation, format the output as a JSON object:{"Functional-Dependency": <list of functional dependencies>}. Each functional dependency should be represented as [<determinant column>, <dependent column>]

Input Table:
| Created Date            |   Job Number | Team   | Technician   | Line_many   | Group_many   |   Hours Spent | Line_Group      | Line    | Group   |
|:------------------------|-------------:|:-------|:-------------|:------------|:-------------|--------------:|:----------------|:--------|:--------|
| 2019-11-18 18:15:45.000 |      1227138 | TeamB  | CH           | Line_I      | Grp-EC       |          1    | Line_I_Grp-EC   | Line_I  | Grp-EC  |
| 2020-03-09 15:18:34.000 |      1376019 | TeamB  | AM           | Line_MC     | Grp-PAP      |          1    | Line_MC_Grp-PAP | Line_MC | Grp-PAP |
| 2020-03-10 21:58:17.000 |      1377594 | TeamD  | CD           | Line_ML     | Grp-MA       |         17    | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2021-01-28 19:45:30.000 |      1770506 | TeamD  | WM           | Line_ML     | Grp-MA       |          5.5  | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2020-05-25 22:02:55.000 |      1471257 | TeamA  | LCO          | Line_ML     | Grp-MA       |         17    | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2019-10-31 23:06:20.000 |      1206875 | TeamB  | RS           | Line_MC     | Grp-X        |         20.7  | Line_MC_Grp-X   | Line_MC | Grp-X   |
| 2020-10-06 12:50:50.000 |      1634835 | TeamA  | JS           | Line_LA     | Grp-TL       |         22.25 | Line_LA_Grp-TL  | Line_LA | Grp-TL  |
| 2020-09-30 19:13:18.000 |      1627793 | TeamC  | KL           | Line_I      | Grp-EC       |          0.5  | Line_I_Grp-EC   | Line_I  | Grp-EC  |
| 2020-05-19 20:53:54.000 |      1466547 | TeamB  | SW           | Line_MC     | Grp-X        |         17    | Line_MC_Grp-X   | Line_MC | Grp-X   |
| 2019-01-23 20:43:03.000 |       780019 | TeamA  | SD           | Line_LA     | Grp-TL       |          0.5  | Line_LA_Grp-TL  | Line_LA | Grp-TL  |
| 2020-10-26 14:44:05.000 |      1660545 | TeamC  | RD           | Line_LA     | Grp-TL       |          0.98 | Line_LA_Grp-TL  | Line_LA | Grp-TL  |
| 2020-04-10 17:44:53.000 |      1431175 | TeamA  | KT           | Line_I      | Grp-EC       |         18.5  | Line_I_Grp-EC   | Line_I  | Grp-EC  |
| 2020-02-25 16:52:15.000 |      1348686 | TeamB  | BS           | Line_WC     | Grp-TS       |         40.25 | Line_WC_Grp-TS  | Line_WC | Grp-TS  |
| 2020-06-17 16:28:07.000 |      1498870 | TeamA  | KT           | Line_MC     | Grp-P5       |          1    | Line_MC_Grp-P5  | Line_MC | Grp-P5  |
| 2020-06-15 19:54:13.000 |      1495612 | TeamA  | GR           | Line_ML     | Grp-MA       |          8.75 | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2020-07-07 13:50:54.000 |      1525352 | TeamB  | JC           | Line_ML     | Grp-MA       |          0.5  | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2020-10-30 18:13:59.000 |      1668201 | TeamB  | BC           | Line_MC     | Grp-P5       |          1.25 | Line_MC_Grp-P5  | Line_MC | Grp-P5  |
| 2019-03-21 16:43:46.000 |       866460 | TeamD  | CD           | Line_ML     | Grp-VLT      |         12    | Line_ML_Grp-VLT | Line_ML | Grp-VLT |
| 2020-02-02 16:41:48.000 |      1315231 | TeamB  | CH           | Line_MC     | Grp-X        |          0.5  | Line_MC_Grp-X   | Line_MC | Grp-X   |
| 2020-01-24 14:43:20.000 |      1303740 | TeamB  | SL           | Line_I      | Grp-EC       |          1    | Line_I_Grp-EC   | Line_I  | Grp-EC  |
| 2020-06-03 15:19:49.000 |      1482617 | TeamB  | CH           | Line_I      | Grp-EC       |          1.22 | Line_I_Grp-EC   | Line_I  | Grp-EC  |
| 2020-07-28 20:22:08.000 |      1548682 | TeamC  | SG           | Line_I      | Grp-EC       |          1.17 | Line_I_Grp-EC   | Line_I  | Grp-EC  |
| 2019-09-12 21:34:34.000 |      1133257 | TeamB  | EC           | Line_WC     | Grp-TS       |          0.25 | Line_WC_Grp-TS  | Line_WC | Grp-TS  |
| 2020-06-25 11:15:18.000 |      1507539 | TeamB  | BS           | Line_ML     | Grp-VLT      |         17    | Line_ML_Grp-VLT | Line_ML | Grp-VLT |
| 2020-11-19 18:57:08.000 |      1692864 | TeamC  | SG           | Line_I      | Grp-SP       |          1    | Line_I_Grp-SP   | Line_I  | Grp-SP  |
| 2020-02-09 23:08:36.000 |      1323802 | TeamD  | BL           | Line_WC     | Grp-TT       |         46    | Line_WC_Grp-TT  | Line_WC | Grp-TT  |
| 2021-01-29 15:53:25.000 |      1771945 | TeamD  | MB           | Line_LA     | Grp-I        |          0    | Line_LA_Grp-I   | Line_LA | Grp-I   |
| 2021-01-20 23:43:36.000 |      1760332 | TeamA  | AE           | Line_MC     | Grp-X        |          8.75 | Line_MC_Grp-X   | Line_MC | Grp-X   |
| 2019-05-14 03:32:23.000 |       947838 | TeamA  | EL           | Line_MC     | Grp-P5       |         27.25 | Line_MC_Grp-P5  | Line_MC | Grp-P5  |
| 2019-07-31 18:28:59.000 |      1070455 | TeamD  | CD           | Line_ML     | Grp-MA       |          3.5  | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2020-10-21 16:50:01.000 |      1654378 | TeamC  | EC           | Line_I      | Grp-SP       |          5.81 | Line_I_Grp-SP   | Line_I  | Grp-SP  |
| 2019-09-27 14:22:08.000 |      1153905 | TeamA  | RW           | Line_ML     | Grp-B        |          0.33 | Line_ML_Grp-B   | Line_ML | Grp-B   |
| 2020-10-13 13:44:37.000 |      1644326 | TeamA  | RW           | Line_WC     | Grp-TT       |         16.25 | Line_WC_Grp-TT  | Line_WC | Grp-TT  |
| 2019-04-01 02:35:43.000 |       879227 | TeamA  | KT           | Line_MC     | Grp-P5       |         10.25 | Line_MC_Grp-P5  | Line_MC | Grp-P5  |
| 2019-01-29 03:16:08.000 |       786004 | TeamD  | DK           | Line_MC     | Grp-4        |          0.5  | Line_MC_Grp-4   | Line_MC | Grp-4   |
| 2020-05-21 12:55:31.000 |      1468355 | TeamB  | CH           | Line_MC     | Grp-4        |          2    | Line_MC_Grp-4   | Line_MC | Grp-4   |
| 2020-05-05 17:28:48.000 |      1453778 | TeamD  | CD           | Line_ML     | Grp-MA       |          7    | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2020-04-14 19:42:12.000 |      1433112 | TeamA  | CK           | Line_ML     | Grp-MA       |          2    | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2019-01-20 21:48:38.000 |       772533 | TeamB  | BC           | Line_MC     | Grp-X        |          8.5  | Line_MC_Grp-X   | Line_MC | Grp-X   |
| 2020-05-19 17:13:01.000 |      1466367 | TeamB  | JC           | Line_ML     | Grp-MA       |          6.25 | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2019-09-27 18:31:47.000 |      1154122 | TeamB  | SL           | Line_MC     | Grp-P1       |          9    | Line_MC_Grp-P1  | Line_MC | Grp-P1  |
| 2020-11-10 14:47:14.000 |      1680496 | TeamC  | KL           | Line_I      | Grp-EC       |          0.82 | Line_I_Grp-EC   | Line_I  | Grp-EC  |
| 2021-01-13 23:14:36.000 |      1752127 | TeamB  | PB           | Line_ML     | Grp-MA       |         23    | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2020-04-02 19:47:34.000 |      1422882 | TeamA  | CK           | Line_ML     | Grp-MA       |          2    | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2019-06-08 00:54:38.000 |       984789 | TeamA  | LCO          | Line_ML     | Grp-MA       |          0.5  | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2021-01-21 22:23:30.000 |      1761863 | TeamB  | BC           | Line_MC     | Grp-P5       |          1    | Line_MC_Grp-P5  | Line_MC | Grp-P5  |
| 2019-10-22 11:04:38.000 |      1193680 | TeamA  | MW           | Line_ML     | Grp-MA       |          3.5  | Line_ML_Grp-MA  | Line_ML | Grp-MA  |
| 2021-01-02 22:51:38.000 |      1738808 | TeamA  | AE           | Line_I      | Grp-EC       |          0.22 | Line_I_Grp-EC   | Line_I  | Grp-EC  |
| 2020-06-12 17:20:49.000 |      1493766 | TeamC  | KL           | Line_I      | Grp-EC       |          0.72 | Line_I_Grp-EC   | Line_I  | Grp-EC  |
| 2019-06-06 17:49:37.000 |       983120 | TeamB  | EC           | Line_WC     | Grp-TS       |          0.25 | Line_WC_Grp-TS  | Line_WC | Grp-TS  |



label: Line_Group
Line
Line_Group
Group
output: {"Functional-Dependency": [["Line_Group", "Line"], ["Line_Group", "Group"]]}
labeled_fds: Line_Group
Line
Line_Group
Group
Created Date
Job Number
Created Date
Team
Created Date
Technician
Created Date
Line_many
Created Date
Group_many
Created Date
Hours Spent
Created Date
Line_Group
Created Date
Line
Created Date
Group
Group_many
Line_many
Group_many
Line_Group
Group_many
Line
Group
Line_many
Group
Line_Group
Group
Line
source: $MMTU_HOME/resources/Relationship-finding/FD/302380183