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S-ID.7 Warmup M1-057-A07-V02

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

Decide whether an intercept interpretation is reasonable

Problem

Evaluate a \(\$15\) intercept, interpreted as fare at \(0~\text{miles}\), for a taxi model fitted to trips from \(0\text{--}20~\text{miles}\). Address the modeled range and the contextual condition that makes the intercept reasonable.

Source parameter display: A taxi-fare model fitted for trips of 0–20 miles has intercept 15 dollars, interpreted as the fare at 0 miles. Which evaluation of the intercept is correct? No requested evaluation or match verdict is annotated. Open full size
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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
Decide whether an intercept interpretation is reasonable