Problem preview
S-ID.7 Warmup M1-057-A03-V01

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

Identify the units of the slope and intercept in a linear model from context

Problem

For a model in this context, what are the units of the slope and the intercept: cost in dollars predicted from years?

Big Picture

What this problem is really about

Dimensional consistency gives a reliable shortcut for parameter units. Because slope multiplies the input to produce an output change, its units must be output units divided by input units; the intercept is already an output value, so it carries only the output’s units.

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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
Identify the units of the slope and intercept in a linear model from context