Problem preview
S-ID.6.c Warmup M1-056-A08-V01

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

Use a linear model to interpolate when a scatter plot shows an approximate straight-line pattern

Problem

The model \(y=3x+2\) is used at input \(4\), and the observed data range is \(1~\text{to}~8\). Use the model to interpolate.

Big Picture

What this problem is really about

Reliability depends on where the requested input sits relative to the data used to fit the line. Compare that input with the observed range before calculating: work inside the range is interpolation supported by nearby observations, though its result is still a model prediction rather than an exact measured value.

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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
Use a linear model to interpolate when a scatter plot shows an approximate straight-line pattern