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  1. /
  2. Mathematics
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  4. Linear Regression
📐 MathematicsGraph

Linear Regression

See how ordinary least squares regression fits a line to noisy data. Adjust the relationship and noise level to explore model fit and R².

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Key Concepts

  • • OLS minimises the sum of squared residuals
  • • R²: 1 = perfect fit, 0 = no fit
  • • The line always passes through (x̄, ȳ)

More Mathematics Tools

Explore other mathematics graphs and simulations.

Graph

Normal Distribution

Interactive Gaussian bell curve. Adjust mean and standard deviation to see how the distribution shifts and spreads.

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Graph

Binomial Distribution

Interactive binomial probability bar chart. Adjust n and p to see how the distribution shifts and spreads, with mean and standard deviation shown.

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Graph

Riemann Sums

Approximate definite integrals with left, right, and midpoint rectangle rules. See how increasing the number of subdivisions improves accuracy.

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Graph

Taylor / Maclaurin Series

See how polynomial approximations converge to sin x, cos x, eˣ, or ln(1+x). Adjust the number of terms to watch the series home in on the function.

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Graph

Chi-Squared Distribution

Plot the chi-squared PDF for different degrees of freedom. Shade the critical region — essential for IB Biology and Psychology IA hypothesis testing.

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Graph

Trigonometric Transformations

Interactively transform A·sin(Bx + C) + D. Adjust amplitude, frequency, phase shift, and vertical translation to see each effect individually.

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