Problem preview
S-ID.6.b Warmup M1-055-A03-V02

Assess model fit informally using residuals.

Interpret a residual, \(observed - predicted\), to judge model fit informally

Problem

Classify \(\text{residual}~+25\) relative to reference value \(50\), the midpoint of the usual \(40\text{--}60\) scale. Calculate the relative error, interpret direction using \(\text{residual}~=~\text{observed}~-~\text{predicted}\), and apply: small at most \(5\%\), large at least \(20\%\), otherwise moderate.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
S-ID.6.b
Category
Statistics and Probability
Domain
Interpreting Categorical and Quantitative Data
Objective
Assess model fit informally using residuals.
Problem type
Interpret a residual, \(observed - predicted\), to judge model fit informally