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 89x 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 76x 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 67x 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
The scatterplot that shows a non-linear association is:
C
x 50 46 80 59 78 64 68 53 70 68
y 35 30 75 45 70 50 55 36 62 67
To determine which scatterplot shows a non-linear association, we can plot the data points and observe the pattern. Let's create scatterplots for each given set of data:
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
By plotting the data points on a scatterplot, we can observe the pattern in each set of data. The scatterplot that shows a non-linear association is:
C:
x: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
y: 35, 30, 75, 45, 70, 50, 55, 36, 62, 67
In this scatterplot, the data points do not form a straight line. Instead, they seem to have a curved or nonlinear pattern. Therefore, scatterplot C shows a non-linear association.
To determine which scatterplot shows a non-linear association, we need to create scatterplots for each set of data and visually analyze the patterns.
For scatterplot A, the x-values are: 50, 46, 90, 59, 78, 64, 68, 53, 70, 72
The corresponding y-values are: 75, 71, 100, 80, 90, 82, 85, 77, 87, 89
Plotting these points on a graph will result in a scatterplot.
For scatterplot B, the x-values are: 50, 46, 98, 59, 78, 64, 68, 53, 70, 72
The corresponding y-values are: 75, 71, 90, 55, 70, 100, 90, 25, 40, 76
Plotting these points on a graph will result in another scatterplot.
For scatterplot C, the x-values are: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
The corresponding y-values are: 35, 30, 75, 45, 70, 50, 55, 36, 62, 67
Plotting these points on a graph will result in another scatterplot.
For scatterplot D, the x-values are: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
The corresponding y-values are: 90, 100, 57, 80, 60, 75, 72, 82, 70, 67
Plotting these points on a graph will result in another scatterplot.
Now, we will need to visually analyze each scatterplot to determine which one shows a non-linear association. A non-linear association means that the points do not follow a straight line pattern on the graph.
Analyzing scatterplot A, it appears that the points do not follow a straight line. The distribution of points is somewhat curved.
Analyzing scatterplot B, the points also do not follow a straight line. The distribution of points seems to have a scattered pattern.
Analyzing scatterplot C, the points appear to be in a somewhat straight line pattern. The points do not show a non-linear association.
Analyzing scatterplot D, the points also seem to follow a straight line pattern. The points do not show a non-linear association.
Therefore, the scatterplot that shows a non-linear association is scatterplot A.
Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point)
Responses
x 5.0 4.6 5.9 7.8 6.4 6.8 5.3 7.2
y 9.5 9.0 11.0 13.0 11.5 12.0 10.0 12.5x 5.0 4.6 5.9 7.8 6.4 6.8 5.3 7.2 y 9.5 9.0 11.0 13.0 11.5 12.0 10.0 12.5
x 5.0 4.6 8.5 7.8 6.8 5.3 7.0 7.2
y 12.0 8.5 6.0 10.0 12.0 10.0 12.0 10.0x 5.0 4.6 8.5 7.8 6.8 5.3 7.0 7.2 y 12.0 8.5 6.0 10.0 12.0 10.0 12.0 10.0
x 5.0 4.6 8.5 5.9 7.8 5.3 7.0 7.2
y 12.0 9.0 15.0 11.0 13.0 8.0 14.5 10.0x 5.0 4.6 8.5 5.9 7.8 5.3 7.0 7.2 y 12.0 9.0 15.0 11.0 13.0 8.0 14.5 10.0
x 5.0 4.6 8.5 7.8 6.4 6.8 7.0 7.2
y 3.7 2.7 6.5 2.0 5.6 3.0 7.8 6.7