If a scatterplot's trend line has an r value of 0.9, the following statements are true:
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The slope of the trend line is positive. - This is true because a positive r value indicates a positive correlation, meaning that as one variable increases, the other variable tends to increase as well.
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The variables in the scatterplot have a strong correlation. - This is also true because an r value close to 1 (like 0.9) indicates a strong positive correlation between the two variables.
The other statements are not true:
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The slope of the trend line is 0.9. - This is false because the value of r does not represent the slope; it indicates the strength and direction of the correlation.
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The increase of one variable tends to decrease the value of the other variable. - This is false, as it contradicts the positive relationship indicated by the r value of 0.9.
Therefore, the true statements are:
- The slope of the trend line is positive.
- The variables in the scatterplot have a strong correlation.