All courses Algebra I · S-ID.8 45 of 76

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

Interpret the sign of the correlation coefficient r for a linear fit

Problem

Classify and interpret the linear direction for \(r=0.78\) using the rule that \(|r|<0.10\) is effectively no linear direction. State the \(x\text{-}y\) tendency without making a causal claim.

Your answer

Show answer choicesHide answer choices Work through the mathematics first, then compare your reasoning.Select the answer that matches your work.

A The correlation has a near-zero positive direction under the stated rule. B The correlation has a positive linear direction, so as x increases, y tends to increase. C The correlation has no linear direction because its sign and strength are the same idea. D The correlation proves that increases in x cause increases in y.

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Interpret the sign of the correlation coefficient r for a linear fit

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Hint

Solution walkthrough

Apply the near-zero rule

Read the sign

Translate without causation

State the interpretation

Another way

Common mistake

Solution walkthrough video