Based on the typical interpretation of scatter plots and lines of best fit in the context of the relationship between SAT scores and college GPA, we can evaluate the statements provided.
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The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.
- Incorrect. Generally, higher SAT scores are associated with higher GPAs, indicating a positive correlation.
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A reasonable prediction SAT score of 1700 is a GPA of 3.0.
- This statement can be correct or incorrect depending on the actual line of best fit in the scatter plot. Without seeing the plot, we cannot confirm if this prediction is reasonable.
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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 designed to make predictions based on the data provided.
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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 typically represents the best summary of the relationship between the two variables in a linear sense.
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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 every point or hit the lowest point; it estimates trends in the data.
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A reasonable prediction SAT score of 2100 is a GPA of 3.5.
- Like the statement about the 1700 score, this can be correct or incorrect depending on the actual line of best fit in the plot. Without additional information, we can't confirm.
So, the correct statements would typically be:
- The line of best fit can be used to make predictions of GPA based on SAT score.
- The line of best fit gives the best approximation of the association between SAT score and GPA.
Please confirm with the specific scatter plot data for the precise predictions.
5 answers