Use the graph.
Which line models the data points better and why?
graphA red line starts at left-parenthesis 3 comma 20 right-parenthesis. It passes through the points left-parenthesis 8 comma 25 right-parenthesis, near left-parenthesis 12 comma 30 right-parenthesis, and left-parenthesis 13 comma 30 right-parenthesis. A blue line starts near left-parenthesis 3 comma 8 right-parenthesis. It passes through the points left-parenthesis 9 comma 25 right-parenthesis, left-parenthesis 14 comma 40 right-parenthesis, and left-parenthesis 19 comma 55 right-parenthesis. The data points sit at the following points: left-parenthesis 6 comma 19 right-parenthesis, left-parenthesis 8 comma 26 right-parenthesis, left-parenthesis 10 comma 25 right-parenthesis, left-parenthesis 12 comma 30 right-parenthesis, left-parenthesis 14 comma 39 right-parenthesis, left-parenthesis 16 comma 49 right-parenthesis, left-parenthesis 18 comma 44 right-parenthesis.
try typing coordinates as number pairs, without all the extra noise
as in (12,30) and so on
No one wants to wade through all that junk.
To determine which line models the data points better, we need to visually analyze how well each line fits the given data.
Looking at graphA, the red line starts at (3,20) and passes through the points (8,25), (12,30), and (13,30).
Looking at the blue line, it starts near (3,8) and passes through the points (9,25), (14,40), and (19,55).
Based on the given data points, it appears that the blue line models the data points better. This is because the blue line seems to pass closer to more data points and appears to follow the general trend of the data better than the red line.
To determine which line models the data points better, we need to compare how closely each line passes through the data points.
Let's start by plotting the given data points on the graph and then overlay the two lines.
Looking at the data points on the graph, we see that the red line passes through three of the given data points near (8, 25), (12, 30), and (13, 30). On the other hand, the blue line passes through four of the given data points near (9, 25), (14, 40), and (19, 55).
To compare how well each line fits the data, we can visually assess which line passes closer to the majority of the given data points. In this case, it seems like the blue line aligns more closely with the data since it passes through four data points, including (9, 25) and (14, 40), which are relatively close to the corresponding data points.
Therefore, based on visual inspection, the blue line models the data points better because it passes through more of the given data points and appears to align more closely with the overall trend of the data.