hubvibe-io.com

{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "description": "The 200 body of every paid /work call. `result` is the worker's own output (its schema is per route); everything else is the same on every /work route. A receipt for the job is at `receipt_url`.",
  "properties": {
    "attribution": {
      "$ref": "#/components/schemas/Attribution"
    },
    "billing_warning": {
      "description": "Present only when the charge was recorded with a caveat.",
      "examples": [
        "settlement pending"
      ],
      "type": "string"
    },
    "price_usd": {
      "description": "What this call cost, in USD.",
      "examples": [
        0.02
      ],
      "type": "number"
    },
    "provenance": {
      "$ref": "#/components/schemas/Provenance"
    },
    "receipt_id": {
      "description": "Receipt id for this job.",
      "examples": [
        "rcpt_9f1c2b3a4d5e6f70"
      ],
      "type": "string"
    },
    "receipt_url": {
      "description": "Where to fetch the machine-readable receipt (free, no payment).",
      "examples": [
        "/work/receipts/rcpt_9f1c2b3a4d5e6f70"
      ],
      "type": "string"
    },
    "result": {
      "properties": {
        "alpha": {
          "description": "Significance level used.",
          "examples": [
            0.05
          ],
          "type": "number"
        },
        "confidence_level": {
          "description": "1 - alpha: the level of every interval.",
          "examples": [
            0.95
          ],
          "type": "number"
        },
        "linear_regression": {
          "description": "Ordinary least squares fit of y on x; null when not requested.",
          "properties": {
            "adjusted_r_squared": {
              "description": "R^2 adjusted for degrees of freedom.",
              "examples": [
                0.995
              ],
              "type": [
                "number",
                "null"
              ]
            },
            "degrees_of_freedom": {
              "description": "n - 2.",
              "examples": [
                3
              ],
              "type": "integer"
            },
            "f_statistic": {
              "description": "F statistic of the regression (t^2); null when undefined.",
              "examples": [
                773
              ],
              "type": [
                "number",
                "null"
              ]
            },
            "intercept": {
              "description": "OLS intercept.",
              "examples": [
                0.08
              ],
              "type": "number"
            },
            "intercept_ci": {
              "description": "Lower and upper bound at the confidence level.",
              "examples": [
                [
                  1.43,
                  2.53
                ]
              ],
              "items": {
                "description": "Bound.",
                "examples": [
                  0
                ],
                "type": "number"
              },
              "type": "array"
            },
            "intercept_std_error": {
              "description": "Standard error of the intercept.",
              "examples": [
                0.236
              ],
              "type": "number"
            },
            "intercept_t": {
              "description": "t statistic of the intercept; null when undefined.",
              "examples": [
                0.34
              ],
              "type": [
                "number",
                "null"
              ]
            },
            "r": {
              "description": "Pearson correlation; null when y is constant.",
              "examples": [
                0.998
              ],
              "type": [
                "number",
                "null"
              ]
            },
            "r_squared": {
              "description": "Coefficient of determination; null when y is constant.",
              "examples": [
                0.996
              ],
              "type": [
                "number",
                "null"
              ]
            },
            "residual_std_error": {
              "description": "Standard error of the residuals, sqrt(SSE / df).",
              "examples": [
                0.225
              ],
              "type": "number"
            },
            "slope": {
              "description": "OLS slope.",
              "examples": [
                1.98
              ],
              "type": "number"
            },
            "slope_ci": {
              "description": "Lower and upper bound at the confidence level.",
              "examples": [
                [
                  1.43,
                  2.53
                ]
              ],
              "items": {
                "description": "Bound.",
                "examples": [
                  0
                ],
                "type": "number"
              },
              "type": "array"
            },
            "slope_std_error": {
              "description": "Standard error of the slope.",
              "examples": [
                0.071
              ],
              "type": "number"
            },
            "slope_t": {
              "description": "t statistic of the slope; null when undefined.",
              "examples": [
                27.8
              ],
              "type": [
                "number",
                "null"
              ]
            },
            "sse": {
              "description": "Sum of squared residuals.",
              "examples": [
                0.152
              ],
              "type": "number"
            },
            "sst": {
              "description": "Total sum of squares of y.",
              "examples": [
                39.4
              ],
              "type": "number"
            },
            "t_critical": {
              "description": "Two-sided t critical value at alpha with df degrees of freedom.",
              "examples": [
                3.18
              ],
              "type": "number"
            },
            "x_mean": {
              "description": "Mean of x.",
              "examples": [
                3
              ],
              "type": "number"
            },
            "y_mean": {
              "description": "Mean of y.",
              "examples": [
                6.02
              ],
              "type": "number"
            }
          },
          "required": [
            "slope",
            "intercept",
            "r",
            "r_squared",
            "adjusted_r_squared",
            "slope_std_error",
            "intercept_std_error",
            "residual_std_error",
            "degrees_of_freedom",
            "slope_t",
            "intercept_t",
            "t_critical",
            "slope_ci",
            "intercept_ci",
            "f_statistic",
            "sse",
            "sst",
            "x_mean",
            "y_mean"
          ],
          "type": [
            "object",
            "null"
          ]
        },
        "method": {
          "description": "How the numbers were produced.",
          "examples": [
            "Ordinary least squares (closed form). Student t p-values from the regularised incomplete beta function..."
          ],
          "type": "string"
        },
        "metrics": {
          "description": "Metrics computed, in canonical order.",
          "examples": [
            [
              "linear_regression",
              "normal_distribution",
              "p_values",
              "prediction"
            ]
          ],
          "items": {
            "description": "Metric name.",
            "enum": [
              "linear_regression",
              "normal_distribution",
              "p_values",
              "prediction"
            ],
            "examples": [
              "linear_regression"
            ],
            "type": "string"
          },
          "type": "array"
        },
        "n": {
          "description": "Number of points.",
          "examples": [
            5
          ],
          "type": "integer"
        },
        "normal_distribution": {
          "description": "Normal model of the chosen values; null when not requested.",
          "properties": {
            "excess_kurtosis": {
              "description": "Excess kurtosis; null when the values are constant.",
              "examples": [
                -1.3
              ],
              "type": [
                "number",
                "null"
              ]
            },
            "max": {
              "description": "Largest value.",
              "examples": [
                10.1
              ],
              "type": "number"
            },
            "mean": {
              "description": "Sample mean.",
              "examples": [
                6.02
              ],
              "type": "number"
            },
            "median": {
              "description": "Median of the values.",
              "examples": [
                6.2
              ],
              "type": "number"
            },
            "min": {
              "description": "Smallest value.",
              "examples": [
                2.1
              ],
              "type": "number"
            },
            "normality": {
              "$ref": "#/components/schemas/NormalityOfResiduals"
            },
            "of": {
              "description": "Which values the model fits.",
              "enum": [
                "y",
                "x",
                "residuals"
              ],
              "examples": [
                "y"
              ],
              "type": "string"
            },
            "probabilities": {
              "description": "Answers to probability_queries, in order.",
              "examples": [
                [
                  {
                    "probability": 0.736,
                    "query": {
                      "below": 8
                    }
                  }
                ]
              ],
              "items": {
                "properties": {
                  "probability": {
                    "description": "Probability under the fitted normal.",
                    "examples": [
                      0.736
                    ],
                    "type": "number"
                  },
                  "query": {
                    "description": "The query as sent.",
                    "examples": [
                      {
                        "below": 8
                      }
                    ],
                    "type": [
                      "object"
                    ]
                  }
                },
                "required": [
                  "query",
                  "probability"
                ],
                "type": "object"
              },
              "type": "array"
            },
            "quantiles": {
              "description": "Quantiles of the fitted normal; null when degenerate.",
              "items": {
                "properties": {
                  "p": {
                    "description": "Probability.",
                    "examples": [
                      0.95
                    ],
                    "type": "number"
                  },
                  "value": {
                    "description": "Value at that quantile.",
                    "examples": [
                      11.19
                    ],
                    "type": "number"
                  }
                },
                "required": [
                  "p",
                  "value"
                ],
                "type": "object"
              },
              "type": [
                "array",
                "null"
              ]
            },
            "skewness": {
              "description": "Sample skewness; null when the values are constant.",
              "examples": [
                0.05
              ],
              "type": [
                "number",
                "null"
              ]
            },
            "std_dev": {
              "description": "Sample standard deviation (n - 1).",
              "examples": [
                3.14
              ],
              "type": "number"
            },
            "variance": {
              "description": "Sample variance (n - 1).",
              "examples": [
                9.86
              ],
              "type": "number"
            }
          },
          "required": [
            "of",
            "mean",
            "std_dev",
            "variance",
            "min",
            "max",
            "median",
            "skewness",
            "excess_kurtosis",
            "quantiles",
            "probabilities",
            "normality"
          ],
          "type": [
            "object",
            "null"
          ]
        },
        "notes": {
          "description": "Caveats about the input; empty when there are none.",
          "examples": [
            []
          ],
          "items": {
            "description": "A caveat about a degenerate input.",
            "examples": [
              "The points lie exactly on a line."
            ],
            "type": "string"
          },
          "type": "array"
        },
        "p_values": {
          "description": "Hypothesis tests validated at alpha; null when not requested.",
          "properties": {
            "intercept": {
              "$ref": "#/components/schemas/Slope"
            },
            "normality_of_residuals": {
              "$ref": "#/components/schemas/NormalityOfResiduals"
            },
            "slope": {
              "$ref": "#/components/schemas/Slope"
            }
          },
          "required": [
            "slope",
            "intercept",
            "normality_of_residuals"
          ],
          "type": [
            "object",
            "null"
          ]
        },
        "prediction": {
          "description": "One entry per predict_x; null when not requested.",
          "items": {
            "properties": {
              "mean_ci": {
                "description": "Lower and upper bound at the confidence level.",
                "examples": [
                  [
                    1.43,
                    2.53
                  ]
                ],
                "items": {
                  "description": "Bound.",
                  "examples": [
                    0
                  ],
                  "type": "number"
                },
                "type": "array"
              },
              "prediction_interval": {
                "description": "Lower and upper bound at the confidence level.",
                "examples": [
                  [
                    1.43,
                    2.53
                  ]
                ],
                "items": {
                  "description": "Bound.",
                  "examples": [
                    0
                  ],
                  "type": "number"
                },
                "type": "array"
              },
              "x": {
                "description": "The x asked for.",
                "examples": [
                  6
                ],
                "type": "number"
              },
              "y_hat": {
                "description": "Predicted y.",
                "examples": [
                  11.96
                ],
                "type": "number"
              }
            },
            "required": [
              "x",
              "y_hat",
              "mean_ci",
              "prediction_interval"
            ],
            "type": "object"
          },
          "type": [
            "array",
            "null"
          ]
        },
        "source": {
          "description": "Where the data came from and how much of it was used.",
          "properties": {
            "gib_processed": {
              "description": "Gibibytes BigQuery scanned; null for inline points.",
              "examples": [
                null
              ],
              "type": [
                "number",
                "null"
              ]
            },
            "rows_available": {
              "description": "Rows with finite x and y in the table; null for inline points.",
              "examples": [
                null
              ],
              "type": [
                "integer",
                "null"
              ]
            },
            "rows_used": {
              "description": "Points the statistics were computed from.",
              "examples": [
                5
              ],
              "type": "integer"
            },
            "sampled": {
              "description": "True when the table had more usable rows than were read.",
              "examples": [
                false
              ],
              "type": "boolean"
            },
            "sql": {
              "description": "The read-only SQL that ran, when source is bigquery.",
              "examples": [
                null
              ],
              "type": [
                "string",
                "null"
              ]
            },
            "table": {
              "description": "BigQuery table read, when source is bigquery.",
              "examples": [
                null
              ],
              "type": [
                "string",
                "null"
              ]
            },
            "type": {
              "description": "Where the points came from.",
              "enum": [
                "points",
                "bigquery"
              ],
              "examples": [
                "points"
              ],
              "type": "string"
            },
            "x_column": {
              "description": "Column used for x, when source is bigquery.",
              "examples": [
                null
              ],
              "type": [
                "string",
                "null"
              ]
            },
            "y_column": {
              "description": "Column used for y, when source is bigquery.",
              "examples": [
                null
              ],
              "type": [
                "string",
                "null"
              ]
            }
          },
          "required": [
            "type",
            "table",
            "x_column",
            "y_column",
            "sql",
            "rows_available",
            "rows_used",
            "sampled",
            "gib_processed"
          ],
          "type": "object"
        }
      },
      "required": [
        "source",
        "n",
        "alpha",
        "confidence_level",
        "metrics",
        "linear_regression",
        "normal_distribution",
        "p_values",
        "prediction",
        "notes",
        "method"
      ],
      "type": "object"
    },
    "status": {
      "const": "ok",
      "description": "Present only on a delivered result.",
      "type": "string"
    },
    "worker": {
      "description": "Catalog name of the worker that ran.",
      "examples": [
        "market.quote"
      ],
      "type": "string"
    }
  },
  "required": [
    "status",
    "worker",
    "price_usd",
    "result",
    "provenance",
    "receipt_id",
    "receipt_url"
  ],
  "title": "stats.probability response",
  "type": "object"
}