The scatter plot shows the relationship between combined SAT score and first semester college GPA.
Choose all statements that are correct?
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.
B 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.
C 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.
D 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.
E 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.
F The line of best fit can be used to make predictions of GPA based on SAT score.
The statements that are correct are:
A A reasonable prediction SAT score of 1700 is a GPA of 3.0.
B The line of best fit gives the best approximation of the association between SAT score and GPA.
D A reasonable prediction SAT score of 2100 is a GPA of 3.5.
F The line of best fit can be used to make predictions of GPA based on SAT score.
The correct statements are:
A A reasonable prediction SAT score of 1700 is a GPA of 3.0.
B The line of best fit gives the best approximation of the association between SAT score and GPA.
D A reasonable prediction SAT score of 2100 is a GPA of 3.5.
F The line of best fit can be used to make predictions of GPA based on SAT score.
To determine which statements are correct, we need to analyze the scatter plot and consider the concept of the line of best fit.
A) A reasonable prediction SAT score of 1700 is a GPA of 3.0. - To assess the validity of this statement, we need to look at the scatter plot. If a significant number of data points with an SAT score of 1700 have a GPA of 3.0, then this statement can be considered correct.
B) 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 the best approximation of the general trend or relationship between variables in a scatter plot.
C) The line of best fit shows that the combined SAT Score and first-semester GPA have a negative correlation. - With the scatter plot, if the line of best fit slopes downwards from left to right, it indicates a negative correlation between the variables.
D) A reasonable prediction SAT score of 2100 is a GPA of 3.5. - Similar to statement A, we need to examine the scatter plot. If there is a substantial number of data points with an SAT score of 2100 corresponding to a GPA of 3.5, this statement can be deemed correct.
E) This is not an accurate line of best fit because it doesn't hit the lowest point. - This statement doesn't accurately assess the line of best fit. The line of best fit is not required to hit every data point since its purpose is to represent the overall trend, not to pass through individual points.
F) 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 can be utilized to make predictions or estimations of GPA based on the given SAT score.
In summary, statements B, C, F are correct based on the characteristics and purpose of the scatter plot and the concept of the line of best fit. Assessing the validity of statements A, D, and E requires direct observation of the scatter plot itself.