Least Squares Regression Calculator
MathFind the best-fit line (slope and intercept) through five data points using least squares regression.
Slope
The slope of the best-fit line through the 5 points.
Intercept
2.2000
The y-intercept of the best-fit line, where it crosses x=0.
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Creators
Odeh Ahwal0people find this calculator helpful
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Helpful
Saved
Embeds
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Frequently Asked Questions
What is least squares regression?
It finds the straight line that minimizes the total squared vertical distance between the line and each data point, giving the best-fitting straight-line summary of the relationship between x and y.
Why square the distances instead of just adding them up?
Squaring makes every distance positive (so points above and below the line don't cancel out) and penalizes larger errors more heavily, which produces a single well-defined best-fit line with a clean closed-form solution.
Why is this limited to exactly 5 points?
A fixed set of input fields is needed for each point's coordinates. Five points is enough to demonstrate a meaningful trend while keeping the input form manageable; the same formula extends to any number of points.
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