{
"$schema": "https://vega.github.io/schema/vega-lite/v5.json",
"description": "Time Series Components with Trend, Seasonality, Cyclical Patterns, and Random Fluctuations",
"data": {
"sequence": {
"start": 0,
"stop": 50,
"step": 1,
"as": "x"
}
},
"transform": [
{
"calculate": "0.5 * datum.x + 10",
"as": "trend"
},
{
"calculate": "2 * sin(2 * PI * datum.x / 10)",
"as": "seasonality"
},
{
"calculate": "sin(datum.x / 5)",
"as": "cyclical"
},
{
"calculate": "datum.trend + datum.seasonality + datum.cyclical",
"as": "value"
},
{
"calculate": "sampleNormal(0, 1)",
"as": "random"
}
],
"hconcat": [
{
"title": "Trend Component",
"mark": "line",
"encoding": {
"x": {
"field": "x",
"type": "quantitative",
"title": "Time"
},
"y": {
"field": "trend",
"type": "quantitative",
"title": "Value"
},
"color": {
"value": "blue"
}
}
},
{
"title": "Seasonality Component",
"mark": "line",
"encoding": {
"x": {
"field": "x",
"type": "quantitative",
"title": "Time"
},
"y": {
"field": "seasonality",
"type": "quantitative",
"title": "Value"
},
"color": {
"value": "green"
}
}
},
{
"title": "Cyclical Component",
"mark": "line",
"encoding": {
"x": {
"field": "x",
"type": "quantitative",
"title": "Time"
},
"y": {
"field": "cyclical",
"type": "quantitative",
"title": "Value"
},
"color": {
"value": "orange"
}
}
},
{
"title": "Random Fluctuations",
"mark": "line",
"encoding": {
"x": {
"field": "x",
"type": "quantitative",
"title": "Time"
},
"y": {
"field": "random",
"type": "quantitative",
"title": "Value"
},
"color": {
"value": "red"
}
}
}
]
}