Question

The scatter plot shows the relationship between combined SAT score and first semester college GPA.

Choose all statements that are correct.

(3 points)
Responses

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.

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 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 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.

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 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.
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The image is a scatterplot showing the relationship between Combined SAT Score (on the x-axis) and first semester college GPA (on the y-axis) for a group of students.

Here's a breakdown of the key features:

Variables:

X-axis: Combined SAT Score, ranging from approximately 1100 to 2300.

Y-axis: First semester college GPA, ranging from 2.0 to 4.0.

Data Points: There are 11 individual data points plotted on the graph.

Relationship (Correlation): The points generally trend upward and to the right, indicating a positive correlation between the two variables. This suggests that students with higher Combined SAT Scores tend to have higher first semester college GPAs.

Line of Best Fit (Regression Line): A straight line has been drawn through the data points, which visually confirms the positive correlation. This line is often used to predict one variable (GPA) based on the other (SAT score).

Answer 1

Correct statements:
- A reasonable prediction SAT score of 1700 is a GPA of 3.0.
- 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.
- The line of best fit gives the best approximation of the association between SAT score and GPA.

Incorrect statements:
- "This is not an accurate line of best fit because it doesn't hit the lowest point." — false: a best-fit line does not have to pass through any data point.
- "The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation." — false: the line slopes upward, indicating a positive correlation.