Problem preview

S-ID.6.a Warmup M1-054-A12-V03

Use scatter plots to represent two quantitative variables and fit functions to model relationships.

Choose the most reasonable model type from a scatter plot or scatter-plot description

Problem

What model type is most reasonable for scatter-plot data described this way: points form an upside-down U with \(\text{one}~\text{peak}\)?

Answer choices

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A linear model is most reasonable because the points still show an overall trend, so a straight line should fit the data.

A quadratic model is most reasonable because an upside-down U with one peak matches a downward-opening parabola.

An exponential model is most reasonable because the points curve, and exponential graphs are curved instead of straight.

No single model is most reasonable because a scatter plot with a peak could be matched by many model types equally well.

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Curriculum context

Course: Math I
Standard: S-ID.6.a
Category: Statistics and Probability
Domain: Interpreting Categorical and Quantitative Data
Objective: Use scatter plots to represent two quantitative variables and fit functions to model relationships.
Problem type: Choose the most reasonable model type from a scatter plot or scatter-plot description