The scatter plot shows the relationship between combined SAT score and first semester college GPA. Which statements are correct?
Responses
A 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 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.
C 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.
D The line of best fit shows that the price and age of a car have a negative association.The line of best fit shows that the price and age of a car have a negative association.
E The line of best fit gives the best approximation of the association between SAT score and GPA.
A, C, and E are correct statements.
A reasonable prediction SAT score of 1700 is a GPA of 3.0 because on the scatter plot, there is a cluster of data points around the SAT score of 1700 that have a GPA of around 3.0.
The line of best fit can be used to make predictions of GPA based on SAT score because it shows the general trend and association between the two variables.
The line of best fit gives the best approximation of the association between SAT score and GPA because it is fitted to the data points in a way that minimizes the overall distance between the line and the data points.