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Regression line y on x
y − ȳ = b(x − x̄), b = r σ_y / σ_x
Where: b = Regression line y on x, r = r, σₓ = σₓ, σ_y = σ_y
Solved example
Given: r = 7, sigma_x = 5, sigma_y = 10
Find: b (Regression line y on x)
- Formula: b = r·σ_y/σₓ
- Substitute the values: b = 10·7/5
- Result: b = 14
Answer: b = 14
Calculator
How to calculate Regression line y on x
- Write down the formula: y − ȳ = b(x − x̄), b = r σ_y / σ_x.
- Note the known values (r, σₓ, σ_y).
- Substitute them and simplify to find b.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Regression line y on x?
The formula is y − ȳ = b(x − x̄), b = r σ_y / σ_x, where b = Regression line y on x, r = r, σₓ = σₓ, σ_y = σ_y.
What is Regression line y on x when r = 7, sigma_x = 5, sigma_y = 10?
b = 14. Substitute the values into y − ȳ = b(x − x̄), b = r σ_y / σ_x and simplify.