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Calculate Regression Slope using R-squared and SSE
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This calculator finds the regression slope (b) when you know the R-squared value and the Sum of Squared Errors (SSE).
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Calculation Results
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Regression Slope (b):
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Formula Used: b = √(SSR / (SSE / (n-2)))
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Where:
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| Variable | Meaning |
|---|---|
| b | Regression Slope |
| SSR | Sum of Squares Regression |
| SSE | Sum of Squared Errors |
| n | Number of data points |
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R-squared vs SSE Comparison
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What is Regression Slope?
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Regression slope is a fundamental concept in statistics that measures the steepness and direction of the relationship between two variables. In simple linear regression, the slope (often denoted as 'b' or 'β₁') indicates how much the dependent variable is expected to change for a one-unit increase in the independent variable. A positive slope signifies a positive correlation, meaning as the independent variable increases, the dependent variable tends to increase as well. Conversely