Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)
Responses
x 50 46 90 59 78 64 68 53 70 72
y 75 71 100 80 90 82 85 77 87 89x 50 46 90 59 78 64 68 53 70 72 y 75 71 100 80 90 82 85 77 87 89
x 50 46 80 59 78 64 68 53 70 68
y 90 100 57 80 60 75 72 82 70 67x 50 46 80 59 78 64 68 53 70 68 y 90 100 57 80 60 75 72 82 70 67
x 50 46 80 59 78 64 68 53 70 68
y 35 30 75 45 70 50 55 36 62 67x 50 46 80 59 78 64 68 53 70 68 y 35 30 75 45 70 50 55 36 62 67
x 50 46 98 59 78 64 68 53 70 72
y 75 71 90 55 70 100 90 25 40 76
The first scatterplot shows a non-linear association.
A , B , C OR D
C
To determine which scatterplot shows a non-linear association, we need to create scatterplots using the given data.
First, let's create scatterplots for each set of data:
Scatterplot 1:
x: 50 46 90 59 78 64 68 53 70 72
y: 75 71 100 80 90 82 85 77 87 89
Scatterplot 2:
x: 50 46 80 59 78 64 68 53 70 68
y: 90 100 57 80 60 75 72 82 70 67
Scatterplot 3:
x: 50 46 80 59 78 64 68 53 70 68
y: 35 30 75 45 70 50 55 36 62 67
Scatterplot 4:
x: 50 46 98 59 78 64 68 53 70 72
y: 75 71 90 55 70 100 90 25 40 76
Now, let's analyze each scatterplot to determine if they show a non-linear association:
Scatterplot 1: The points on the scatterplot seem to follow a general upward trend, indicating a positive linear association. It is not a non-linear association.
Scatterplot 2: The points on the scatterplot are not following a clear linear trend. There seems to be some variation and clustering. This suggests a non-linear association.
Scatterplot 3: The points on the scatterplot seem to have a slight downward trend, suggesting a possible negative linear association. It is not a non-linear association.
Scatterplot 4: The points on the scatterplot are not aligned in any clear pattern. There is no apparent linear or non-linear association.
Therefore, Scatterplot 2 shows a non-linear association.