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
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.
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 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.
The line of best fit gives the best approximation of the association between SAT score and GPA.
Responses
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.
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 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.
The line of best fit gives the best approximation of the association between SAT score and GPA.
Answers
GPT-4o mini
Based on your description of the scatter plot and the options provided, the correct statements can be determined as follows:
1. **The line of best fit can be used to make predictions of GPA based on SAT score.**
- **Correct.** A line of best fit enables predictions within the range of the data.
2. **A reasonable prediction SAT score of 2100 is a GPA of 3.5.**
- **Correct or incorrect.** This depends on the specific line of best fit derived from the scatter plot. You would need to evaluate if the predicted GPA for an SAT score of 2100 falls around 3.5 according to the line of best fit.
3. **A reasonable prediction SAT score of 1700 is a GPA of 3.0.**
- **Correct or incorrect.** Similar to the previous statement, this depends on the actual data and line of best fit. You must check if the predicted GPA for an SAT score of 1700 is around 3.0.
4. **The line of best fit shows that the SAT score and GPA have a negative association.**
- **Incorrect.** If the line of best fit is rising as SAT scores increase, it indicates a positive association, not a negative one.
5. **The line of best fit gives the best approximation of the association between SAT score and GPA.**
- **Correct.** The line of best fit is generally used to represent the best linear relationship between the two variables in a scatter plot.
Therefore, the correct statements likely include the first, possibly the second and third (depending on the actual data), and the last statement. The fourth statement is definitely incorrect.
1. **The line of best fit can be used to make predictions of GPA based on SAT score.**
- **Correct.** A line of best fit enables predictions within the range of the data.
2. **A reasonable prediction SAT score of 2100 is a GPA of 3.5.**
- **Correct or incorrect.** This depends on the specific line of best fit derived from the scatter plot. You would need to evaluate if the predicted GPA for an SAT score of 2100 falls around 3.5 according to the line of best fit.
3. **A reasonable prediction SAT score of 1700 is a GPA of 3.0.**
- **Correct or incorrect.** Similar to the previous statement, this depends on the actual data and line of best fit. You must check if the predicted GPA for an SAT score of 1700 is around 3.0.
4. **The line of best fit shows that the SAT score and GPA have a negative association.**
- **Incorrect.** If the line of best fit is rising as SAT scores increase, it indicates a positive association, not a negative one.
5. **The line of best fit gives the best approximation of the association between SAT score and GPA.**
- **Correct.** The line of best fit is generally used to represent the best linear relationship between the two variables in a scatter plot.
Therefore, the correct statements likely include the first, possibly the second and third (depending on the actual data), and the last statement. The fourth statement is definitely incorrect.