Problem preview
S-ID.6.c Warmup M1-056-A10-V01

Fit a linear function to data when a scatter plot suggests a linear association.

Compare possible lines of fit

Problem

Determine the better line of fit for upward linear scatter when line A balances points with small random residuals and line B lies above most points. Justify the decision using fit criteria.

Big Picture

What this problem is really about

Matching the trend’s direction is only the first test for a fitted line. A stronger fit runs through the center of the point cloud and leaves residuals small and roughly balanced above and below zero; a line with points mostly on one side carries systematic bias even if its slope looks reasonable.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
S-ID.6.c
Category
Statistics and Probability
Domain
Interpreting Categorical and Quantitative Data
Objective
Fit a linear function to data when a scatter plot suggests a linear association.
Problem type
Compare possible lines of fit