Multiple Linear Regression Calculator

Fit a multiple linear regression model from rows of predictor variables and a numeric target

Example Results

1 examples

Fit a two-predictor model

Estimate intercept and coefficients from rows where the final column is the target

{
  "result": {
    "intercept": 0.2353,
    "coefficients": [
      2.5966,
      1.5294
    ],
    "rSquared": 0.9996,
    "predictedY": 26.0588
  }
}
View input parameters
{ "csvData": "x1,x2,y\n1,2,6\n2,1,7\n3,4,14\n4,3,15\n5,5,21\n6,4,22", "hasHeaderRow": true, "predictionValues": "7, 5", "decimalPlaces": 4 }

Key Facts

Category
Math, Date & Finance
Input Types
textarea, checkbox, text, number
Output Type
json
Sample Coverage
4
API Ready
Yes

Overview

The Multiple Linear Regression Calculator allows you to model the relationship between two or more independent variables and a single dependent target variable. By inputting CSV data, you can instantly calculate the regression intercept, coefficients for each predictor, and the R-squared value to assess model fit and make data-driven predictions.

When to Use

  • When you need to determine how multiple independent factors influence a single numerical outcome.
  • When you want to predict a future value based on a set of known predictor variables.
  • When you need to evaluate the strength of the relationship between variables using the R-squared metric.

How It Works

  • Paste your dataset into the CSV input field, ensuring the target variable (y) is located in the final column.
  • Specify whether your data includes a header row and set the desired decimal precision for the output.
  • Optionally enter specific predictor values to generate a predicted target value based on the fitted model.
  • Submit the data to receive the intercept, coefficients for each variable, and statistical fit metrics.

Use Cases

Real estate analysis to predict house prices based on square footage, age, and number of bedrooms.
Marketing performance tracking to see how ad spend across different channels impacts total sales revenue.
Academic research for analyzing the impact of various environmental factors on agricultural crop yields.

Examples

1. Predicting Property Values

Real Estate Analyst
Background
An analyst has a dataset containing house size, property age, and final sale price for a specific neighborhood.
Problem
Determine the impact of size and age on price and predict the price of a new 2,500 sq ft listing that is 10 years old.
How to Use
Input the CSV data with size and age as the first two columns and price as the third. Set the prediction values to '2500, 10'.
Example Config
decimalPlaces: 2, hasHeaderRow: true
Outcome
The tool provides coefficients for size and age, the model intercept, and a predicted price for the specific property.

2. Multi-Channel Ad Spend Analysis

Digital Marketer
Background
A marketer tracks weekly spend on Social Media and Search Ads against total conversions to optimize budget allocation.
Problem
Identify which advertising channel has a higher coefficient of impact on total conversions.
How to Use
Paste the weekly spend data with conversions as the final column and ensure the header row option is selected.
Example Config
decimalPlaces: 4, hasHeaderRow: true
Outcome
Returns the R-squared value to show model reliability and individual coefficients to compare the effectiveness of each channel.

Try with Samples

csv, hash

Related Hubs

FAQ

Where should the target variable be placed in the CSV?

The target variable (y) must always be the last column in your CSV data, with all predictor variables (x) in the preceding columns.

Can I predict new values with this tool?

Yes, enter comma-separated values in the Prediction Values field to calculate a specific outcome based on your regression model.

What does the R-squared value represent?

It indicates the proportion of variance for the dependent variable that is explained by the independent variables in the model.

Does the tool support non-numeric data?

No, all predictor and target values must be numeric for the linear regression calculation to function correctly.

How many predictors can I include in my model?

You can include multiple predictors as long as they are formatted as separate columns preceding the final target column.

API Documentation

Request Endpoint

POST /en/api/tools/multiple-linear-regression-calculator

Request Parameters

Parameter Name Type Required Description
csvData textarea No -
hasHeaderRow checkbox No -
predictionValues text No -
decimalPlaces number No -

Response Format

{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}
JSON Data: JSON Data

AI MCP Documentation

Add this tool to your MCP server configuration:

{
  "mcpServers": {
    "elysiatools-multiple-linear-regression-calculator": {
      "name": "multiple-linear-regression-calculator",
      "description": "Fit a multiple linear regression model from rows of predictor variables and a numeric target",
      "baseUrl": "https://elysiatools.com/mcp/sse?toolId=multiple-linear-regression-calculator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

You can chain multiple tools, e.g.: `https://elysiatools.com/mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp`, max 20 tools.

If you encounter any issues, please contact us at [email protected]