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Calcimator

Multiple Regression Calculator

Evaluate a multiple regression model using SSR, SSE, number of predictors, and sample size. Calculate R², adjusted R², F-statistic, and model fit metrics.

Inputs

Results

R-Squared (R²)

0.75

Adjusted R-Squared

0.73

F-Statistic

46

P-Value (approx)0
Root Mean Square Error5.71
Mean Square Regression1,500
Mean Square Error32.61
AIC (approx)178.06
Significant at α=0.05 (1=Yes)1
See5.71
How to Use This Calculator
  1. Enter Regression Sum of Squares (SSR), Error Sum of Squares (SSE), and Number of Predictors (k).
  2. Set Sample Size (n).
  3. Review R-Squared (R²), Adjusted R-Squared, and F-Statistic.
  4. Use P-Value (approx) and Root Mean Square Error to inform your decision.
  5. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Regression Sum of Squares (SSR)

Regression Sum of Squares (SSR)R-Squared (R²)Adjusted R-SquaredF-Statistic
100,000,000,000111,022,222,222.22
350,000,000,000113,577,777,777.78
650,000,000,000116,644,444,444.44
900,000,000,000119,200,000,000

What each input means

Regression Sum of Squares (SSR)
Sum of squares explained by the regression model.
Error Sum of Squares (SSE)
Sum of squares not explained by the model (residual error).
Number of Predictors (k)
Number of independent variables in the regression model.
Sample Size (n)
Total number of observations. Must exceed the number of predictors + 1.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Regression Sum of Squares (SSR) = 4500, Error Sum of Squares (SSE) = 1500, Number of Predictors (k) = 3, Sample Size (n) = 50 = 4 input(s) provided
  2. Calculate R-Squared
    R-Squared
    0.75 = 0.75
  3. Calculate Adjusted R-Squared
    Adjusted R-Squared
    0.7337 = 0.7337
  4. Calculate F-Statistic
    F-Statistic
    46 = 46
  5. Calculate P-Value
    P-Value
    0 = 0
  6. Calculate Root Mean Square Error
    Root Mean Square Error
    5.7104 = 5.7104

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators.

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