Question

analyze determine which line of fit shown is a better fit for the data in the scatter plot. justify your argument. select choice line select choice has the same number of points above the line and below the line. line select choice is close to 2 of the points; but for the rest of the data, there are 3 points above and 3 points below the line.

Explanation:

To determine the better line of fit, we analyze the distribution of data points around each line. A good line of fit should have a balanced number of points above and below it.

Step 1: Analyze Line \( g \)

For line \( g \), we check the number of points above and below. Observing the scatter plot, line \( g \) has a more balanced distribution of points (3 above and 3 below for most, with some close) compared to line \( f \).

Step 2: Analyze Line \( f \)

Line \( f \) is steeper and does not balance the points as well. It is close to 2 points but for others, the balance is off compared to line \( g \).

Answer:

The better fit is line \( g \). Line \( g \) has the same number of points above the line and below the line. Line \( f \) is close to 2 of the points, but for the rest of the data, there are 3 points above and 3 points below the line (while line \( g \) maintains a better overall balance). So the first "Select Choice" is \( g \), the second "Select Choice" is \( g \), and the third "Select Choice" is \( f \).