To determine the best statement that describes the relationship shown in the scatter plot between math score and shoe size, we need to analyze the trend represented in the scatter plot.
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If the scatter plot shows no correlation between shoe size and math score, then the first statement ("A student's shoe size has no effect on their math score.") would be most accurate.
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The second statement ("A student with a shoe size of 8 will always earn a score of 80%.") suggests a fixed score associated with a specific shoe size, which is unlikely in most scenarios unless explicitly stated by the data.
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The third statement ("Students with a bigger shoe size earn a higher math score.") implies a positive correlation, meaning as shoe size increases, math scores also increase.
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The fourth statement ("Students with a smaller shoe size earn a higher math score.") suggests a negative correlation, meaning as shoe size decreases, math scores increase.
Without the actual scatter plot to refer to, I can't determine the correct relationship from the described options. However, if the plot shows no clear trend, the first statement would be most appropriate. If there is a visible trend showing larger shoe sizes are associated with higher scores, then the third statement would be accurate, and if the trend shows smaller shoe sizes correlate with higher scores, then the fourth statement would apply.
To summarize, the best statement depends on the observed correlation in the scatter plot:
- No correlation: "A student's shoe size has no effect on their math score."
- Positive correlation: "Students with a bigger shoe size earn a higher math score."
- Negative correlation: "Students with a smaller shoe size earn a higher math score."
Please refer to the scatter plot to identify the correct relationship.