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The problem provided asks to compute the linear correlation coefficient between MRI count and IQ to determine if they are linearly related. The given correlation coefficient is **0.675**.

To summarize the task:
1. The table lists MRI counts and IQ scores for 5 females and 5 males.
2. The goal is to check if MRI count and IQ are linearly related by computing the correlation coefficient.
3. The computed correlation coefficient, **0.675**, indicates a moderate positive relationship between MRI count and IQ.
4. Based on this value, the correct interpretation would be:
   - **Yes**, MRI count and IQ are linearly related since the linear correlation coefficient is positive and moderately strong (**0.675**).

Do you need further details on the calculation of the correlation coefficient, or any other part of the question?

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Here are 5 related questions you could explore:
1. How is the linear correlation coefficient calculated?
2. What is the significance of a positive correlation coefficient?
3. Can correlation indicate causation in this scenario?
4. How does the sample size affect the reliability of the correlation coefficient?
5. What is the difference between strong, moderate, and weak correlations?

**Tip:** The linear correlation coefficient \( r \) ranges from \(-1\) (perfect negative correlation) to \(+1\) (perfect positive correlation). Values close to \( \pm 1 \) indicate strong relationships.

Researchers wondered whether the size of a person's brain was related to the individual's mental capacity. They measured MRI counts and IQ scores for a sample of males and females and asked whether the two variables are linearly related, with the computed correlation coefficient being 0.675.

Explore the statistical analysis of MRI counts and IQ scores, where the correlation coefficient is 0.675, indicating a moderate positive linear relationship. This page discusses Pearson's correlation coefficient and how to determine linear relationships in data sets.

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