Problem preview

S-ID.8 Warmup M1-058-A10-V03

Use technology to compute and interpret the correlation coefficient of a linear fit.

Determine whether a reported correlation coefficient is possible

Problem

Identify whether \(r\text{-}\text{value}\) \(0.99\) is possible for a correlation coefficient.

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It is impossible because 0.99 is too close to 1, so it is larger than a valid correlation coefficient can be.

It is impossible because correlation coefficients must be positive only when they are exactly 1, not 0.99.

It is possible because a correlation coefficient must be between -1 and 1, and 0.99 is in that interval.

It is impossible because a correlation coefficient has to be between 0 and 1, and 0.99 is almost outside that range.

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Curriculum context

Course: Math I
Standard: S-ID.8
Category: Statistics and Probability
Domain: Interpreting Categorical and Quantitative Data
Objective: Use technology to compute and interpret the correlation coefficient of a linear fit.
Problem type: Determine whether a reported correlation coefficient is possible