Brent is trying to figure out the relationship between the number of times his friends post on social media and their grade point averages (GPA). He records the collected data on a scatter plot. Which of the linear functions best models the line of best fit? What does the slope in the equation represent?
(1 point)
Responses
y=−0.004x+4
; the slope represents the amount of decrease in the GPA for each post
y is equal to negative 0 point 0 0 4 x plus 4; the slope represents the amount of decrease in the GPA for each post
y=0.5x−4
; the slope represents the amount of increase in the GPA for each post
y is equal to 0 point 5 x minus 4; the slope represents the amount of increase in the GPA for each post
y=−0.5x−4
; the slope represents the amount of decrease in the GPA for each post
y is equal to negative 0 point 5 x minus 4; the slope represents the amount of decrease in the GPA for each post
y=0.004x−4
; the slope represents the average number of posts per friend
To find the linear function that best models the line of best fit in this scenario, you can examine the relationship between the number of posts on social media (x) and the corresponding grade point averages (GPA) (y) on the scatter plot.
The correct linear function is the one with a positive or negative slope that seems to best represent the overall trend of the data points on the scatter plot.
Looking at the options provided:
1) y = -0.004x + 4: This function has a negative slope, meaning that as the number of posts on social media increases, the GPA decreases. The slope (-0.004) indicates the amount of decrease in the GPA for each additional post.
2) y = 0.5x - 4: This function has a positive slope, suggesting that as the number of posts on social media increases, the GPA increases. The slope (0.5) represents the amount of increase in the GPA for each additional post.
3) y = -0.5x - 4: This function also has a negative slope, indicating that as the number of posts on social media increases, the GPA decreases. The slope (-0.5) represents the amount of decrease in the GPA for each additional post.
4) y = 0.004x - 4: This function has a positive slope, suggesting that as the number of posts on social media increases, the GPA increases. However, the slope represents the average number of posts per friend, not the change in GPA.
Based on the options provided, the linear function y = -0.004x + 4 best models the line of best fit. The negative slope indicates that as the number of posts on social media increases, the GPA decreases. The slope (-0.004) represents the amount of decrease in the GPA for each additional post.