The scatter plot shows the relationship between combined SAT score and first semester college GPA.

Question

Choose all statements that are correct.

(3 points)
Responses

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

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

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.

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

To evaluate the statements regarding the scatter plot of combined SAT scores and first semester college GPAs, let’s analyze each statement:

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

   • This statement is incorrect. A negative correlation would indicate that as the SAT score increases, the GPA decreases. Generally, higher SAT scores are associated with higher GPAs, suggesting a positive correlation.

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

   • This statement could be correct, depending on the line of best fit. If the plot shows that a SAT score of 1700 corresponds to a GPA of 3.0, then this is accurate. However, we would need to refer to the specific graph for confirmation.

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

   • This statement is correct. The line of best fit is designed to model the relationship between the two variables and can be used for predictions.

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

   • This statement is generally incorrect. A line of best fit doesn't need to pass through every data point, including the lowest point. Its purpose is to best represent the trend in the data.

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

   • This statement is correct. The line of best fit is meant to approximate the trend of the data and indicate the overall relationship.

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

   • Similar to statement 2, this statement could be correct if the line of best fit in the plot indicates that a SAT score of 2100 corresponds to a GPA of 3.5. Confirmation would depend on the specific line represented in the graph.

Therefore, the 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.

Statements about predictions for specific scores (1700 and 2100) require a visual reference to the line of best fit and cannot be confirmed without seeing the scatter plot.

Answer 2

choose three

Answer 3

Based on the provided statements, the three correct responses would be:

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

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

3. A reasonable prediction SAT score of 2100 is a GPA of 3.5. (This can be chosen if the scatter plot indicates that this is a reasonable estimate; if not, you can select the other prediction about the SAT score of 1700 based on the plot.)

If you have evidence or specific information confirming the prediction for the 1700 score, you can replace the 2100 prediction for the third option. But based on the general context, those are the three statements that can be chosen as correct.