Subjects statistics

Correlation Interpretation 9E2D70

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1. The problem asks to interpret the correlation coefficient $r = -0.5$. 2. The correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables. 3. The value of $r$ ranges from $-1$ to $1$. 4. If $r$ is close to $1$, it indicates a strong positive correlation. 5. If $r$ is close to $-1$, it indicates a strong negative correlation. 6. If $r$ is close to $0$, it indicates no or weak correlation. 7. Here, $r = -0.5$ is negative and moderately far from zero, indicating a moderate negative correlation. 8. Therefore, the correct interpretation is: d A negative correlation. 9. For the scatterplot of years of education vs income, the question is about correlation but no numerical $r$ is given. 10. Typically, if the scatterplot shows an upward trend, it indicates a positive correlation; if downward, negative; if scattered randomly, no correlation. 11. Since the question does not provide $r$ or ask for a specific answer, no further calculation is needed. Final answer for question 5: d A negative correlation.