Problem preview
S-ID.7 Warmup M1-057-A08-V01

Interpret slope and intercept of a linear model in the data context.

Interpret the slope of a linear model as predicted change per unit input

Problem

Interpret a slope of \(-\$500~\text{per}~\text{year}\) for a fitted car-value model.

Big Picture

What this problem is really about

A negative slope does not make the predicted output itself negative; it describes the direction of change. Separate sign from magnitude, attach output units per input unit, and translate a one-unit increase in the input into a decrease of the stated magnitude in the model’s prediction.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
S-ID.7
Category
Statistics and Probability
Domain
Interpreting Categorical and Quantitative Data
Objective
Interpret slope and intercept of a linear model in the data context.
Problem type
Interpret the slope of a linear model as predicted change per unit input