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The scatter plot shows the relationship between combined SAT score and first semester college GPA. Choose all statements that are correct. (3 points) Responses A reasonable prediction SAT score of 2100 is a GPA of 3.5. A reasonable prediction SAT score of 2100 is a GPA of 3.5. This is not an accurate line of best fit because it doesn't hit the lowest point. This is not an accurate line of best fit because it doesn't hit the lowest point. The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation. The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation. The line of best fit can be used to make predictions of GPA based on SAT score. 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. The line of best fit gives the best approximation of the association between SAT score and GPA. A reasonable prediction SAT score of 1700 is a GPA of 3.0.

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To assess the correctness of each statement regarding the scatter plot of combined SAT scores and first-semester college GPA, we need to analyze each statement carefully.

  1. A reasonable prediction SAT score of 2100 is a GPA of 3.5.

    • This statement can only be determined accurate or inaccurate by examining the scatter plot itself. If the line of best fit indicates that a SAT score of 2100 corresponds to a GPA of approximately 3.5, then this statement would be correct.

  2. This is not an accurate line of best fit because it doesn't hit the lowest point.

    • This statement is incorrect. A line of best fit does not need to pass through the lowest point of the data set; it represents the overall trend in the data rather than fitting every individual point.

  3. The line of best fit shows that the combined SAT Score and first semester GPA have a negative correlation.

    • This statement is likely incorrect. A negative correlation would suggest that as SAT scores increase, GPAs decrease. If the scatter plot shows a positive trend (higher SAT scores associated with higher GPAs), then this statement is false.

  4. The line of best fit can be used to make predictions of GPA based on SAT score.

    • This statement is generally true. A line of best fit provides a method to estimate one variable based on another, allowing predictions to be made.

  5. The line of best fit gives the best approximation of the association between SAT score and GPA.

    • This statement is true. The line of best fit is designed to represent the general association between the two variables in the dataset.

  6. A reasonable prediction SAT score of 1700 is a GPA of 3.0.

    • Similar to the first statement, this can only be validated by checking the scatter plot. If the line of best fit indicates that a SAT score of 1700 corresponds to a GPA of approximately 3.0, then this statement would be correct.

Based on typical scatter plot interpretations, the likely correct statements are:

  • 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.

The accuracy of the first and last statements would depend on the data visually presented in the scatter plot.