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 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 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.
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 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 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.
Answers
GPT-4o mini
Based on the statements provided, here are the correct interpretations that can be generally understood regarding the relationship between SAT scores and GPA in a scatter plot context:
1. **The line of best fit can be used to make predictions of GPA based on SAT score.** - This statement is correct, as the purpose of a line of best fit is to provide a mathematical model that can predict one variable (GPA) based on another (SAT score).
2. **The line of best fit gives the best approximation of the association between SAT score and GPA.** - This statement is also correct, as the line of best fit represents the trend in the data and summarizes the relationship between SAT scores and GPAs.
The other statements about specific predictions and associations (such as whether the SAT score correlates negatively or positively with GPA) cannot be confirmed without viewing the actual scatter plot. However, if the scatter plot indicates a positive trend (higher SAT scores correlate with higher GPAs), the statements about negative association would be incorrect.
To summarize, the statements about making predictions with the line of best fit and its approximation of the association are correct; the statements regarding specific predictions may or may not be correct based on the specifics of the scatter plot.
1. **The line of best fit can be used to make predictions of GPA based on SAT score.** - This statement is correct, as the purpose of a line of best fit is to provide a mathematical model that can predict one variable (GPA) based on another (SAT score).
2. **The line of best fit gives the best approximation of the association between SAT score and GPA.** - This statement is also correct, as the line of best fit represents the trend in the data and summarizes the relationship between SAT scores and GPAs.
The other statements about specific predictions and associations (such as whether the SAT score correlates negatively or positively with GPA) cannot be confirmed without viewing the actual scatter plot. However, if the scatter plot indicates a positive trend (higher SAT scores correlate with higher GPAs), the statements about negative association would be incorrect.
To summarize, the statements about making predictions with the line of best fit and its approximation of the association are correct; the statements regarding specific predictions may or may not be correct based on the specifics of the scatter plot.