Question

one of these points is not like the others, part two
a. plot and connect the points listed in the table below.

in (x)	out (y)
4	12
1	-3
-4	12
0	-4
3	5
-3	-2
2	0

b. identify the point that does not fit the pattern.
c. what shape does the graph appear to make?
d. correct the point identified in part (b) so it fits the pattern. write the points in (x,y) notation.

Explanation:

Step1: Analyze the data points

We have a set of (x,y) points: (-2,0), (4,12), (1,-3), (-4,12), (0,-4), (3,5), (-3,-2), (2,0).

Step2: Look for a non - fitting point

By observing the data, we can try to find a relationship between x and y values. If we consider a linear relationship (a simple first - pass analysis), we can see that for most points, there seems to be no obvious simple linear rule. However, if we consider the point (1, - 3), it stands out as different from the others in terms of the general distribution of points.

Step3: Determine the shape if all points fit

If we assume all points fit a pattern, we can plot them. A scatter - plot of these points does not form a perfect circle, square, etc. But if we were to connect them in order, we might get a somewhat irregular polygon - like shape.

Step4: Correct the non - fitting point

To make the point (1,-3) fit a pattern, we need to adjust it. If we consider the general trend of the other points, we might try to find a y - value for x = 1 that is more in line with the others. For example, if we assume a rough linear - like relationship based on some of the other points, a more appropriate y - value for x = 1 could be 6 (this is a rough estimate based on visual inspection and trying to create a more consistent pattern). So the corrected point is (1,6).

Answer:

b. The point (1,-3) does not fit the pattern.
c. The shape formed by the points if they all fit would be an irregular polygon - like shape.
d. The corrected point is (1,6).