Multiple Linear Regression
Calculate Multiple Linear Regression instantly with the exact formula and a worked example.
Multiple Linear Regression
Correlation of y and X1
Correlation of y and X2
Correlation of X1 and X2
SD y
SD X1
SD X2
Mean of y
Mean of X1
Mean of X2
Coefficient of X1
0.989011
Coefficient of X2
1.7582
Intercept
12.6374
Equation
y = 12.637 + 0.989·X1 + 1.7582·X2
β₁ / β₂ (standardized)
0.495 / 0.352
R²
0.4725
More about: Multiple Linear Regression
What it calculates
The “Multiple Linear Regression” calculator computes Coefficient of X1 from 9 parameters: correlation of y and x1, correlation of y and x2, correlation of x1 and x2, sd y, sd x1, sd x2, mean of y, mean of x1, mean of x2.
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters Correlation of y and X1 = 0.6, Correlation of y and X2 = 0.5, Correlation of X1 and X2 = 0.3, SD y = 10, SD X1 = 5, SD X2 = 2, Mean of y = 50, Mean of X1 = 20, Mean of X2 = 10 the result is 0.989.
How to use
- Enter correlation of y and x1, correlation of y and x2, correlation of x1 and x2, sd y, sd x1, sd x2, mean of y, mean of x1 and mean of x2 — each field above is adjustable with a slider.
- Coefficient of X1 is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Multiple Linear Regression calculated?
The Multiple Linear Regression calculator computes Coefficient of X1 from correlation of y and x1, correlation of y and x2, correlation of x1 and x2, sd y, sd x1, sd x2, mean of y, mean of x1, mean of x2. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Multiple Linear Regression calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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