Based on the typical interpretation of scatter plots and lines of best fit, here are the evaluations of the statements:
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This is not an accurate line of best fit because it doesn't hit the lowest point.
- Incorrect. A line of best fit does not need to pass through any specific points, including the lowest point. It aims to capture the overall trend in the data.
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The line of best fit gives the best approximation of the association between SAT score and GPA.
- Correct. The line of best fit is designed to represent the approximate relationship between the variables.
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The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.
- Incorrect. Typically, higher SAT scores correlate positively with higher GPAs, indicating a positive correlation unless stated otherwise.
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A reasonable prediction SAT score of 1700 is a GPA of 3.0.
- This could be correct or incorrect, depending on the actual line of best fit presented in the scatter plot. If the plot indicates that a score of 1700 corresponds closely to a GPA of 3.0, then it would be correct. Otherwise, it would be incorrect.
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The line of best fit can be used to make predictions of GPA based on SAT score.
- Correct. The line of best fit is specifically useful for making predictions about one variable based on another.
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A reasonable prediction SAT score of 2100 is a GPA of 3.5.
- This could be correct or incorrect, similar to the prior prediction. Without data, it cannot be confirmed.
In summary, the correct statements from the provided list are:
- The line of best fit gives the best approximation of the association between SAT score and GPA.
- The line of best fit can be used to make predictions of GPA based on SAT score.
The other statements require specific information from the scatter plot to verify their correctness.
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