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6.1.1 Correlation in data analysis

Code

Vega-Lite Chart

{
  "$schema": "https://vega.github.io/schema/vega-lite/v5.json",
  "description": "Scatterplots showing positive, negative, and no-correlation scenarios for two variables.",
  "hconcat": [
    {
      "title": "Perfect Positive Correlation",
      "width": 200,
      "height": 200,
      "data": {
        "values": [
          {
            "x": 1,
            "y": 1.1
          },
          {
            "x": 2,
            "y": 1.9
          },
          {
            "x": 3,
            "y": 3.1
          },
          {
            "x": 4,
            "y": 4
          },
          {
            "x": 5,
            "y": 5.1
          },
          {
            "x": 6,
            "y": 5.9
          },
          {
            "x": 7,
            "y": 7
          },
          {
            "x": 8,
            "y": 7.9
          },
          {
            "x": 9,
            "y": 9.1
          },
          {
            "x": 10,
            "y": 10.1
          }
        ]
      },
      "mark": "point",
      "encoding": {
        "x": {
          "field": "x",
          "type": "quantitative",
          "title": "Variable X"
        },
        "y": {
          "field": "y",
          "type": "quantitative",
          "title": "Variable Y"
        }
      }
    },
    {
      "title": "Perfect Negative Correlation",
      "width": 200,
      "height": 200,
      "data": {
        "values": [
          {
            "x": 1,
            "y": 10.1
          },
          {
            "x": 2,
            "y": 9.1
          },
          {
            "x": 3,
            "y": 8
          },
          {
            "x": 4,
            "y": 7
          },
          {
            "x": 5,
            "y": 6
          },
          {
            "x": 6,
            "y": 5.1
          },
          {
            "x": 7,
            "y": 4
          },
          {
            "x": 8,
            "y": 3.1
          },
          {
            "x": 9,
            "y": 2
          },
          {
            "x": 10,
            "y": 1.1
          }
        ]
      },
      "mark": "point",
      "encoding": {
        "x": {
          "field": "x",
          "type": "quantitative",
          "title": "Variable X"
        },
        "y": {
          "field": "y",
          "type": "quantitative",
          "title": "Variable Y"
        }
      }
    },
    {
      "title": "No Correlation",
      "width": 200,
      "height": 200,
      "data": {
        "values": [
          {
            "x": 1,
            "y": 5.1
          },
          {
            "x": 2,
            "y": 3.1
          },
          {
            "x": 3,
            "y": 7
          },
          {
            "x": 4,
            "y": 4
          },
          {
            "x": 5,
            "y": 6.1
          },
          {
            "x": 6,
            "y": 2.9
          },
          {
            "x": 7,
            "y": 8
          },
          {
            "x": 8,
            "y": 5.9
          },
          {
            "x": 9,
            "y": 1
          },
          {
            "x": 10,
            "y": 9.1
          }
        ]
      },
      "mark": "point",
      "encoding": {
        "x": {
          "field": "x",
          "type": "quantitative",
          "title": "Variable X"
        },
        "y": {
          "field": "y",
          "type": "quantitative",
          "title": "Variable Y"
        }
      }
    }
  ]
}