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:
|   EmissionsRegionID | DateTimeUTC             |   C02 Intensity | Region              |   LatestDateFlg | RegTypeKey   | Emission Type   | TimeZoneUTCRelative     |   Latitude |   Longitude | MaxRegionDate           |
|--------------------:|:------------------------|----------------:|:--------------------|----------------:|:-------------|:----------------|:------------------------|-----------:|------------:|:------------------------|
|                   2 | 2017-10-11 16:00:50.000 |         565.629 | US_ERCOT            |               0 | 2Marginal    | Marginal        | 2017-03-10 05:51:17.240 |    32.7988 |    -96.7786 | 2017-10-18 06:00:00.000 |
|                   5 | 2017-10-05 03:15:00.000 |        1015.59  | US_PJM              |               0 | 5Marginal    | Marginal        | 2017-03-10 06:56:21.730 |    40.3484 |    -74.6429 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-06 12:25:00.000 |         655.755 | US_UpperMidwestISO  |               0 | 7System      | System          | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-16 15:05:00.000 |         756.047 | US_UpperMidwestISO  |               0 | 7Marginal    | Marginal        | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   4 | 2017-10-09 12:40:00.000 |         877.451 | US_PugetSoundEnergy |               0 | 4Marginal    | Marginal        | 2017-03-10 03:54:37.456 |    47.6801 |   -122.116  | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-06 01:20:00.000 |         676.87  | US_UpperMidwestISO  |               0 | 7System      | System          | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-03 18:15:00.000 |         317.514 | US_ISONewEngland    |               0 | 3Marginal    | Marginal        | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-16 09:55:23.000 |         308.543 | US_ISONewEngland    |               0 | 3System      | System          | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   5 | 2017-10-05 10:35:00.000 |        1021.49  | US_PJM              |               0 | 5Marginal    | Marginal        | 2017-03-10 06:56:21.730 |    40.3484 |    -74.6429 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-14 14:25:00.000 |         638.791 | US_UpperMidwestISO  |               0 | 7System      | System          | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   4 | 2017-10-15 15:10:00.000 |         877.451 | US_PugetSoundEnergy |               0 | 4Marginal    | Marginal        | 2017-03-10 03:54:37.456 |    47.6801 |   -122.116  | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-06 19:00:00.000 |         680.388 | US_UpperMidwestISO  |               0 | 7System      | System          | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   5 | 2017-10-07 16:40:00.000 |        1039.63  | US_PJM              |               0 | 5Marginal    | Marginal        | 2017-03-10 06:56:21.730 |    40.3484 |    -74.6429 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-04 09:45:00.000 |         581.237 | US_UpperMidwestISO  |               0 | 7System      | System          | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   4 | 2017-10-11 11:45:00.000 |         881.523 | US_PugetSoundEnergy |               0 | 4Marginal    | Marginal        | 2017-03-10 03:54:37.456 |    47.6801 |   -122.116  | 2017-10-18 06:00:00.000 |
|                   1 | 2017-10-13 04:10:00.000 |         492.601 | US_CAISO            |               0 | 1Marginal    | Marginal        | 2017-03-10 03:48:54.610 |    41.7324 |   -123.409  | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-06 10:00:00.000 |         842.23  | US_UpperMidwestISO  |               0 | 7Marginal    | Marginal        | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-06 11:50:00.000 |         756.047 | US_UpperMidwestISO  |               0 | 7Marginal    | Marginal        | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   1 | 2017-10-15 03:50:00.000 |         492.601 | US_CAISO            |               0 | 1Marginal    | Marginal        | 2017-03-10 03:48:54.610 |    41.7324 |   -123.409  | 2017-10-18 06:00:00.000 |
|                   5 | 2017-10-10 04:50:00.000 |        1015.59  | US_PJM              |               0 | 5Marginal    | Marginal        | 2017-03-10 06:56:21.730 |    40.3484 |    -74.6429 | 2017-10-18 06:00:00.000 |
|                   1 | 2017-10-04 14:20:00.000 |         492.601 | US_CAISO            |               0 | 1Marginal    | Marginal        | 2017-03-10 03:48:54.610 |    41.7324 |   -123.409  | 2017-10-18 06:00:00.000 |
|                   2 | 2017-10-13 17:45:00.000 |         553.609 | US_ERCOT            |               0 | 2Marginal    | Marginal        | 2017-03-10 05:51:17.240 |    32.7988 |    -96.7786 | 2017-10-18 06:00:00.000 |
|                   4 | 2017-10-10 13:25:00.000 |         881.523 | US_PugetSoundEnergy |               0 | 4Marginal    | Marginal        | 2017-03-10 03:54:37.456 |    47.6801 |   -122.116  | 2017-10-18 06:00:00.000 |
|                   5 | 2017-10-15 12:10:00.000 |         998.356 | US_PJM              |               0 | 5Marginal    | Marginal        | 2017-03-10 06:56:21.730 |    40.3484 |    -74.6429 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-05 22:30:00.000 |         672.868 | US_UpperMidwestISO  |               0 | 7System      | System          | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   2 | 2017-10-07 12:45:20.000 |         564.949 | US_ERCOT            |               0 | 2Marginal    | Marginal        | 2017-03-10 05:51:17.240 |    32.7988 |    -96.7786 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-05 23:30:00.000 |         375.121 | US_ISONewEngland    |               0 | 3Marginal    | Marginal        | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-11 16:35:00.000 |         756.047 | US_UpperMidwestISO  |               0 | 7Marginal    | Marginal        | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   2 | 2017-10-10 04:01:00.000 |         566.446 | US_ERCOT            |               0 | 2Marginal    | Marginal        | 2017-03-10 05:51:17.240 |    32.7988 |    -96.7786 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-12 00:54:35.000 |         326.648 | US_ISONewEngland    |               0 | 3System      | System          | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-16 12:20:00.000 |         655.336 | US_UpperMidwestISO  |               0 | 7System      | System          | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-04 03:40:00.000 |         627.773 | US_UpperMidwestISO  |               0 | 7System      | System          | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-16 03:13:57.000 |         311.583 | US_ISONewEngland    |               0 | 3System      | System          | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   5 | 2017-10-09 12:10:00.000 |        1039.63  | US_PJM              |               0 | 5Marginal    | Marginal        | 2017-03-10 06:56:21.730 |    40.3484 |    -74.6429 | 2017-10-18 06:00:00.000 |
|                   2 | 2017-10-10 13:10:30.000 |         569.485 | US_ERCOT            |               0 | 2Marginal    | Marginal        | 2017-03-10 05:51:17.240 |    32.7988 |    -96.7786 | 2017-10-18 06:00:00.000 |
|                   5 | 2017-10-16 12:25:00.000 |        1037.82  | US_PJM              |               0 | 5Marginal    | Marginal        | 2017-03-10 06:56:21.730 |    40.3484 |    -74.6429 | 2017-10-18 06:00:00.000 |
|                   2 | 2017-10-05 17:00:10.000 |         560.005 | US_ERCOT            |               0 | 2Marginal    | Marginal        | 2017-03-10 05:51:17.240 |    32.7988 |    -96.7786 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-03 16:10:00.000 |         320.236 | US_ISONewEngland    |               0 | 3Marginal    | Marginal        | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-04 09:30:00.000 |         431.366 | US_ISONewEngland    |               0 | 3Marginal    | Marginal        | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   2 | 2017-10-10 19:01:50.000 |         559.587 | US_ERCOT            |               0 | 2System      | System          | 2017-03-10 05:51:17.240 |    32.7988 |    -96.7786 | 2017-10-18 06:00:00.000 |
|                   1 | 2017-10-07 14:00:00.000 |         458.582 | US_CAISO            |               0 | 1Marginal    | Marginal        | 2017-03-10 03:48:54.610 |    41.7324 |   -123.409  | 2017-10-18 06:00:00.000 |
|                   5 | 2017-10-08 14:00:00.000 |         465.186 | US_PJM              |               0 | 5System      | System          | 2017-03-10 06:56:21.730 |    40.3484 |    -74.6429 | 2017-10-18 06:00:00.000 |
|                   2 | 2017-10-09 05:35:00.000 |         569.893 | US_ERCOT            |               0 | 2Marginal    | Marginal        | 2017-03-10 05:51:17.240 |    32.7988 |    -96.7786 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-05 00:30:00.000 |         716.675 | US_UpperMidwestISO  |               0 | 7Marginal    | Marginal        | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-15 10:50:00.000 |         507.781 | US_UpperMidwestISO  |               0 | 7System      | System          | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-05 10:05:00.000 |         359.245 | US_ISONewEngland    |               0 | 3Marginal    | Marginal        | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-10 00:30:00.000 |         375.121 | US_ISONewEngland    |               0 | 3Marginal    | Marginal        | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-14 20:15:00.000 |         331.122 | US_ISONewEngland    |               0 | 3Marginal    | Marginal        | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   3 | 2017-10-03 02:35:00.000 |         386.007 | US_ISONewEngland    |               0 | 3Marginal    | Marginal        | 2017-03-10 06:53:02.013 |    42.7086 |    -72.1692 | 2017-10-18 06:00:00.000 |
|                   7 | 2017-10-10 01:50:00.000 |         716.675 | US_UpperMidwestISO  |               0 | 7Marginal    | Marginal        | 2017-03-14 10:17:23.963 |    41.9185 |    -93.5519 | 2017-10-18 06:00:00.000 |



label: EmissionsRegionID
TimeZoneUTCRelative
EmissionsRegionID
Latitude
EmissionsRegionID
Longitude
EmissionsRegionID
MaxRegionDate
output: {"Functional-Dependency": [["EmissionsRegionID", "TimeZoneUTCRelative"], ["EmissionsRegionID", "Latitude"], ["EmissionsRegionID", "Longitude"], ["EmissionsRegionID", "MaxRegionDate"]]}
labeled_fds: EmissionsRegionID
TimeZoneUTCRelative
EmissionsRegionID
Latitude
EmissionsRegionID
Longitude
EmissionsRegionID
MaxRegionDate
EmissionsRegionID
LatestDateFlg
DateTimeUTC
C02 Intensity
DateTimeUTC
Region
DateTimeUTC
LatestDateFlg
DateTimeUTC
RegTypeKey
DateTimeUTC
Emission Type
C02 Intensity
LatestDateFlg
Region
LatestDateFlg
RegTypeKey
LatestDateFlg
Emission Type
LatestDateFlg
TimeZoneUTCRelative
LatestDateFlg
Latitude
LatestDateFlg
Longitude
LatestDateFlg
MaxRegionDate
LatestDateFlg
source: $MMTU_HOME/resources/Relationship-finding/FD/302058976