Learn to model relationships and make predictions with confidence
Strength of linear relationship
Best prediction equation
Variation explained by model
Typical prediction error
Linear regression reveals relationships between variables, enabling prediction and understanding. From fuel quality to stock prices, master the tools to model real-world relationships. You'll learn to quantify relationships, make predictions, and understand the uncertainty in your models.
Master prediction and relationship analysis
All sections are accessible - follow the numbered sequence for the best learning experience
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Build formulas step-by-step
Master linear regression formulas by building them interactively. Click on each part to understand why it's there and how it works.
Key topics:
Measuring relationship strength
How strong is the linear relationship between two variables? Learn to calculate and interpret correlation.
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Finding the best-fit line
Discover how to find the line that best predicts one variable from another using least squares.
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Testing slope significance
Is the relationship real or just random noise? Test whether your regression slope is statistically significant.
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Quantifying uncertainty
Learn the crucial difference between confidence intervals for the mean and prediction intervals for individual values.
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Decomposing variation
Break down total variation into explained and unexplained parts. Understand the F-test for overall model significance.
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Model goodness-of-fit
Master R-squared and adjusted R-squared. Learn what they really mean and their limitations.
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Start with fundamentals to understand the core concepts
Apply concepts to real-world data to reinforce understanding
Learn when and how to apply each concept effectively