Question
The scatter plot shows the relationship between combined SAT score and first semester college GPA. Which statements are correct? (hint: there is more than 1)
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.
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.
The line of best fit shows that the SAT score and GPA have a negative association.
The line of best fit shows that the SAT score and GPA have a negative association.
A reasonable prediction SAT score of 1700 is a GPA of 3.0.
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.
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.
The line of best fit shows that the SAT score and GPA have a negative association.
The line of best fit shows that the SAT score and GPA have a negative association.
A reasonable prediction SAT score of 1700 is a GPA of 3.0.
Answers
GPT-4o mini
Based on the typical interpretation of scatter plots and lines of best fit, the following statements appear to be correct:
1. **The line of best fit can be used to make predictions of GPA based on SAT score.** - This is true as the line of best fit provides a linear approximation of the relationship between the two variables.
2. **The line of best fit gives the best approximation of the association between SAT score and GPA.** - This is also true because the line of best fit represents the trend of the data points and minimizes the distance between the points and the line itself.
3. **A reasonable prediction SAT score of 2100 is a GPA of 3.5.** - This statement can be true if the scatter plot and line of best fit indicate that a score of 2100 correlates with a GPA of around 3.5.
4. **A reasonable prediction SAT score of 1700 is a GPA of 3.0.** - Similar to the previous, this can be true if the values align with the trend shown in the scatter plot.
The following statement is likely **incorrect**:
- **The line of best fit shows that the SAT score and GPA have a negative association.** - Typically, a positive association is observed where higher SAT scores correspond to higher GPAs.
Based on these interpretations, the first three statements and the last statement about a reasonable prediction for 1700 would be worth considering if they align to the scatter plot.
1. **The line of best fit can be used to make predictions of GPA based on SAT score.** - This is true as the line of best fit provides a linear approximation of the relationship between the two variables.
2. **The line of best fit gives the best approximation of the association between SAT score and GPA.** - This is also true because the line of best fit represents the trend of the data points and minimizes the distance between the points and the line itself.
3. **A reasonable prediction SAT score of 2100 is a GPA of 3.5.** - This statement can be true if the scatter plot and line of best fit indicate that a score of 2100 correlates with a GPA of around 3.5.
4. **A reasonable prediction SAT score of 1700 is a GPA of 3.0.** - Similar to the previous, this can be true if the values align with the trend shown in the scatter plot.
The following statement is likely **incorrect**:
- **The line of best fit shows that the SAT score and GPA have a negative association.** - Typically, a positive association is observed where higher SAT scores correspond to higher GPAs.
Based on these interpretations, the first three statements and the last statement about a reasonable prediction for 1700 would be worth considering if they align to the scatter plot.