Chapter 3 Phrasing and Equations

The average [output variable] for the given [input variable].

Average [increase or decrease] in [y] per unit increase in [x].

[r²x100] % of the total variation in the [output] is explained by the linear model relating the [output variable] to the [input variable].

The typical distance between the actual [output] value and the predicted [output] value with the given [explanatory variable] value.

ŷ = b₀+b₁x

y= b₀+b₁x+ε

Residual = y(observed) - ŷ

∑(y - ȳ)²

Variation Explained by the Model / Total Variation in the Output Data

b₁ = r * (sy / sx)

b = y̅ - b₁x̄