Unit 14 · Class 10 IB MYP · Formula Sheet
Regression & Correlation Formulas — Class 10 IB MYP
Calculate correlation coefficients, fit regression lines, and interpret bivariate data.
Key Formulas
Pearson's r
r = \dfrac{\sum(x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum(x_i - \bar{x})^2 \cdot \sum(y_i - \bar{y})^2}}
Line of Best Fit
y = mx + c \text{ (regression line)}
Gradient of Regression
m = \dfrac{\sum(x_i - \bar{x})(y_i - \bar{y})}{\sum(x_i - \bar{x})^2}
Correlation Strength
|r| \text{ close to 1} = \text{strong}, \quad |r| \text{ close to 0} = \text{weak}
Worked Examples
1Using: Application
Apply the key formula from this topic to a sample problem.
Step 1: Identify the formula.
Step 2: Substitute the values.
Step 3: Simplify to get the answer.
Answer: See solution above
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