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Scatter Plot and Linear Regression Calculator — result sheet
Summarize paired x and y data with a correlation coefficient, least-squares line, fitted values, and a transparent prediction.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Slope = Sxy/Sxx; intercept = ȳ − slope×x̄; r = Sxy/√(SxxSyy); fitted y = intercept + slope×x.
The calculator treats the two text lists as paired observations, computes the least-squares line, reports r and R², and returns fitted values for each row. The data table is meant to be read alongside the summary rather than treated as proof of causation.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- x values
- Matching y values
- x value to predict — minimum -1000000000000; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| x values | 1,2,3,4,5 |
| Matching y values | 2,4,5,8,10 |
| x value to predict | 6 |
The fitted line is approximately y = 2x − 0.4 and predicts about 11.6 at x = 6.
Assumptions and limits
- x and y lists contain the same number of paired finite values.
- At least three observations are supplied.
- x values contain variation so Sxx is positive.
- The fitted line summarizes linear association in the entered sample.
- A prediction outside the observed x range is extrapolation and needs extra justification.
- Correlation does not establish causation, and outliers can strongly affect the line.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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