5.
(06.02)
A scatter plot and a possible line of best fit is shown:
A scatter plot is shown. Data points are located at 2 comma 5, 3 comma 4, 4 comma 6, 5 comma 3, 7 comma 2, 7 comma 4, and 7 comma 5. A line passes through 1 and 7 connecting to 7 and 3.
Is the line of best fit accurate for the data shown? (4 points)
No, because the line does not touch any points
No, because the line should touch every point
Yes, because it touches the y-axis
Yes, because there are about the same number of points above the line as below it
No, because the line does not appear to be the best fit for the data points.
Yes, because there are about the same number of points above the line as below it
The line of best fit is not accurate for the given data shown.
To determine whether the line of best fit is accurate for the given data, we need to analyze how well the line represents the relationship between the x and y values.
In this case, the line passes through two points: (1, 7) and (7, 3). However, it does not touch any of the given data points: (2, 5), (3, 4), (4, 6), (5, 3), (7, 2), (7, 4), and (7, 5).
Based on this information, we can conclude that the line of best fit is not accurate for the data shown. The line should ideally pass through or be close to as many data points as possible in order to accurately represent the relationship between the x and y values.
So the correct answer is:
No, because the line does not touch any points.