Question

A scatter plot is shown on the coordinate plane.

scatter plot with points at 1 comma 7, 2 comma 5, 3 comma 3, 3 comma 7, 4 comma 1, 5 comma 5, 6 comma 3, and 9 comma 3

Which two points would a line of fit go through to best fit the data?

(1, 7) and (9, 3)
(1, 7) and (5, 5)
(2, 5) and (4, 1)
(2, 5) and (6, 3)

Answer 1

Answer:(1,7),(9,3)

Step-by-step explanation: Hope this helps

Answer 2

To determine which two points the line of fit should go through, we need to look for the two points that best represent the overall trend of the data. One way to do this is to visually estimate a line that best fits the pattern of the points. Another way is to use statistical methods to find the line of best fit.

Here, the two points that a line of fit should go through to best fit the data are (1, 7) and (9, 3) because these two points best represent the overall trend of the data. A line passing through these two points would have a negative slope, indicating a decreasing trend from left to right.

To confirm this, we can calculate the equation of the line passing through these two points using the slope-intercept form:

slope = (y2 - y1) / (x2 - x1) = (3 - 7) / (9 - 1) = -0.5

intercept = y1 - slope * x1 = 7 - (-0.5) * 1 = 7.5

Therefore, the equation of the line of best fit passing through (1, 7) and (9, 3) is:

y = -0.5x + 7.5

This line represents the overall trend of the data, with most of the points lying close to or around the line.