PEARSON function

PRO

The PEARSON function in Jspreadsheet Formulas Pro is a tool that calculates the relationship between two groups of data. It gives you the Pearson product-moment correlation coefficient, a value that can range between -1 and 1. This number will tell you how closely the two sets of data are related. If the value is close to 1, the data sets have a strong positive correlation; if it's close to -1, they have a strong negative correlation; if it's close to 0, there's no correlation.

Documentation

Returns the Pearson product moment correlation coefficient between two data sets.

Syntax

PEARSON(array1, array2)

Parameter	Description
`array1`	The first array or range of values.
`array2`	The second array or range of values.

Behavior

The PEARSON function calculates the Pearson product-moment correlation coefficient for two sets of values. This coefficient indicates the degree of linear relationship between the two sets of data.

Empty Cells: The PEARSON function ignores empty cells.
Text: The PEARSON function cannot handle text. If any cell in the range contains text, the function will return an error.
Booleans: Boolean values are treated as integers. TRUE is treated as 1 and FALSE is treated as 0.
Errors: If any cell in the range contains an error, the PEARSON function will return an error.
Non-Numeric Values: If the arrays contain non-numeric values, the function will return an error.
Array sizes: The two arrays must be of the same size, else the function will return an error.

Common Errors

Error	Description
#N/A	Occurs if the two arrays provided are of different lengths.
#DIV/0!	Occurs if there is only one pair of data point, as the standard deviation of the data points cannot be calculated.
#VALUE!	Occurs if the provided arguments are non-numeric or if any of the cells in the range contain text.
#REF!	Occurs if the cell reference is not valid.

Best practices

Always ensure that the two arrays provided to the PEARSON function are of the same size.

Be sure to handle non-numeric values before using the PEARSON function to avoid errors.

Use the PEARSON function to compare the linear relationship between two sets of data, not to establish a cause-effect relationship.

Verify that your data does not contain any error values to prevent the PEARSON function from returning an error.

Usage

A few examples using the PEARSON function.

PEARSON({1,2,3,4,5}, {2,4,6,8,10})  
→ Returns 1  
Meaning: Perfect positive linear relationship (as Y doubles X).

PEARSON({1,2,3,4,5}, {10,8,6,4,2})  
→ Returns -1  
Meaning: Perfect negative linear relationship.

PEARSON({1,2,3,4,5}, {7,7,7,7,7})  
→ Returns #DIV/0!  
Meaning: Error occurs because the second array has zero variance.

Interactive Spreadsheet Demo

<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />

<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>

<div id="spreadsheet"></div>

<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Hours Studied",
        "Test Score"
    ],
    [
        2,
        65
    ],
    [
        4,
        75
    ],
    [
        6,
        85
    ],
    [
        8,
        90
    ],
    [
        10,
        95
    ],
    [
        "Correlation:",
        "=PEARSON(A2:A6,B2:B6)"
    ]
]
  }]
});
</script>
</html>

import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "Hours Studied",
        "Test Score"
    ],
    [
        2,
        65
    ],
    [
        4,
        75
    ],
    [
        6,
        85
    ],
    [
        8,
        90
    ],
    [
        10,
        95
    ],
    [
        "Correlation:",
        "=PEARSON(A2:A6,B2:B6)"
    ]
];

    // Render component
    return (
        <Spreadsheet ref={spreadsheet}>
            <Worksheet data={data} />
        </Spreadsheet>
    );
}

<template>
    <Spreadsheet ref="spreadsheet">
        <Worksheet :data="data" />
    </Spreadsheet>
</template>

<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Hours Studied",
        "Test Score"
    ],
    [
        2,
        65
    ],
    [
        4,
        75
    ],
    [
        6,
        85
    ],
    [
        8,
        90
    ],
    [
        10,
        95
    ],
    [
        "Correlation:",
        "=PEARSON(A2:A6,B2:B6)"
    ]
]

        return {
            data
        };
    }
}
</script>

import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";

// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

@Component({
    standalone: true,
    selector: "app-root",
    template: `<div #spreadsheet></div>`
})
export class AppComponent {
    @ViewChild("spreadsheet") spreadsheet: ElementRef;
    // Worksheets
    worksheets: jspreadsheet.worksheetInstance[];

    // Create a new data grid
    ngAfterViewInit() {
        // Create spreadsheet
        this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
            worksheets: [{
                data: [
    [
        "Hours Studied",
        "Test Score"
    ],
    [
        2,
        65
    ],
    [
        4,
        75
    ],
    [
        6,
        85
    ],
    [
        8,
        90
    ],
    [
        10,
        95
    ],
    [
        "Correlation:",
        "=PEARSON(A2:A6,B2:B6)"
    ]
]
            }]
        });
    }
}

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