Problem preview
S-ID.6.c Warmup M1-056-A04-V01

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

Estimate the y-intercept of a line of fit

Problem

Use this line-of-fit information to estimate the \(y\text{-}\text{intercept}\): line of fit crosses the \(y\text{-}\text{axis}\) near \(6\).

Big Picture

What this problem is really about

The intercept answers a boundary question: what does the fitted model predict when the input is zero? Trace the line to the vertical axis and interpret that value in context, while checking whether zero lies in the modeled domain before treating the prediction as a plausible real-world baseline.

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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
Estimate the y-intercept of a line of fit