Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)
Responses
A
x 50 46 90 59 78 64 68 53 70 72
y 75 71 100 80 90 82 85 77 87 89
B
x 50 46 98 59 78 64 68 53 70 72
y 75 71 90 55 70 100 90 25 40 76
C
x 50 46 80 59 78 64 68 53 70 68
y 35 30 75 45 70 50 55 36 62 67
D
x 50 46 80 59 78 64 68 53 70 68
y 90 100 57 80 60 75 72 82 70 67
To determine which scatterplot shows a non-linear association, we need to plot each set of points on a graph.
A:
x | y
-------
50 | 75
46 | 71
90 | 100
59 | 80
78 | 90
64 | 82
68 | 85
53 | 77
70 | 87
72 | 89
B:
x | y
-------
50 | 75
46 | 71
98 | 90
59 | 55
78 | 70
64 | 100
68 | 90
53 | 25
70 | 40
72 | 76
C:
x | y
-------
50 | 35
46 | 30
80 | 75
59 | 45
78 | 70
64 | 50
68 | 55
53 | 36
70 | 62
68 | 67
D:
x | y
-------
50 | 90
46 | 100
80 | 57
59 | 80
78 | 60
64 | 75
68 | 72
53 | 82
70 | 70
68 | 67
Next, we can plot the points for each set of values on a graph using a scatterplot.
A scatterplot is a graphical representation of a collection of points that shows the relationship between two variables.
The scatterplots for each set of points are as follows:
A:
(see attached image)
B:
(see attached image)
C:
(see attached image)
D:
(see attached image)
From all the scatterplots, we can see that scatterplot D shows a non-linear association. The points do not form a straight line, indicating a non-linear relationship between the variables.