To determine which scatter diagram accurately represents the data, we need to plot the given observations on a graph. The data points given are as follows:
- [tex]\( x_1 = 2 \)[/tex], [tex]\( y_1 = 7 \)[/tex]
- [tex]\( x_2 = 6 \)[/tex], [tex]\( y_2 = 18 \)[/tex]
- [tex]\( x_3 = 9 \)[/tex], [tex]\( y_3 = 9 \)[/tex]
- [tex]\( x_4 = 13 \)[/tex], [tex]\( y_4 = 26 \)[/tex]
- [tex]\( x_5 = 20 \)[/tex], [tex]\( y_5 = 23 \)[/tex]
Let's plot these points (x, y) on a scatter diagram:
1. Point (2, 7):
- Plot the point where [tex]\( x = 2 \)[/tex] and [tex]\( y = 7 \)[/tex].
2. Point (6, 18):
- Plot the point where [tex]\( x = 6 \)[/tex] and [tex]\( y = 18 \)[/tex].
3. Point (9, 9):
- Plot the point where [tex]\( x = 9 \)[/tex] and [tex]\( y = 9 \)[/tex].
4. Point (13, 26):
- Plot the point where [tex]\( x = 13 \)[/tex] and [tex]\( y = 26 \)[/tex].
5. Point (20, 23):
- Plot the point where [tex]\( x = 20 \)[/tex] and [tex]\( y = 23 \)[/tex].
To verify which scatter diagram accurately represents the data, each diagram should be examined to see which one contains these five points plotted at the given coordinates.
After examining each scatter diagram:
A. Check if it strikes all the coordinates.
B. Similarly, check the rest of the diagrams.
The correct scatter diagram will:
- Have a point located at [tex]\( (2, 7) \)[/tex].
- Have a point located at [tex]\( (6, 18) \)[/tex].
- Have a point located at [tex]\( (9, 9) \)[/tex].
- Have a point located at [tex]\( (13, 26) \)[/tex].
- Have a point located at [tex]\( (20, 23) \)[/tex].
Identify the scatter diagram that matches these points.
