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

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 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 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.

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.

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 gives the best approximation of the association between SAT score and GPA.

Answer 1

To assess the statements about the scatter plot and the line of best fit, we can analyze each response:

1. 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 all points or hit the lowest point; it is meant to represent the overall trend in the data.

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

   • This statement is correct. A line of best fit can be used to estimate values (in this case, GPA) based on the independent variable (SAT score).

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

   • This statement is likely incorrect, assuming that a higher SAT score typically correlates with a higher GPA. If the line of best fit is sloping upwards, it indicates a positive correlation.

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

   • This statement's validity cannot be determined without the actual scatter plot. If indicated on the line of best fit, then it could be correct; otherwise, it may not be accurate.

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

   • Similar to the previous statement, this can only be validated by looking at the scatter plot and the line of best fit.

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

   • This statement is generally correct. The line of best fit typically represents the average relationship between the two variables in the scatter plot.

Thus, the correct responses based on typical interpretations would 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.

However, without visual confirmation of the scatter plot, the validity of the statements about specific predictions (SAT scores of 2100 and 1700) cannot be confirmed.