Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)%0D%0AResponses%0D%0A%0D%0Ax%0950%0946%0998%0959%0978%0964%0968%0953%0970%0972%0D%0Ay%0975%0971%0990%0955%0970%09100%0990%0925%0940%0976x 50 46 98 59 78 64 68 53 70 72 y 75 71 90 55 70 100 90 25 40 76%0D%0A%0D%0Ax%0950%0946%0980%0959%0978%0964%0968%0953%0970%0968%0D%0Ay%0990%09100%0957%0980%0960%0975%0972%0982%0970%0967x 50 46 80 59 78 64 68 53 70 68 y 90 100 57 80 60 75 72 82 70 67%0D%0A%0D%0Ax%0950%0946%0980%0959%0978%0964%0968%0953%0970%0968%0D%0Ay%0935%0930%0975%0945%0970%0950%0955%0936%0962%0967x 50 46 80 59 78 64 68 53 70 68 y 35 30 75 45 70 50 55 36 62 67%0D%0A%0D%0Ax%0950%0946%0990%0959%0978%0964%0968%0953%0970%0972%0D%0Ay%0975%0971%09100%0980%0990%0982%0985%0977%0987%0989

Question

Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)%0D%0AResponses%0D%0A%0D%0Ax%0950%0946%0998%0959%0978%0964%0968%0953%0970%0972%0D%0Ay%0975%0971%0990%0955%0970%09100%0990%0925%0940%0976x 50 46 98 59 78 64 68 53 70 72 y 75 71 90 55 70 100 90 25 40 76%0D%0A%0D%0Ax%0950%0946%0980%0959%0978%0964%0968%0953%0970%0968%0D%0Ay%0990%09100%0957%0980%0960%0975%0972%0982%0970%0967x 50 46 80 59 78 64 68 53 70 68 y 90 100 57 80 60 75 72 82 70 67%0D%0A%0D%0Ax%0950%0946%0980%0959%0978%0964%0968%0953%0970%0968%0D%0Ay%0935%0930%0975%0945%0970%0950%0955%0936%0962%0967x 50 46 80 59 78 64 68 53 70 68 y 35 30 75 45 70 50 55 36 62 67%0D%0A%0D%0Ax%0950%0946%0990%0959%0978%0964%0968%0953%0970%0972%0D%0Ay%0975%0971%09100%0980%0990%0982%0985%0977%0987%0989

Answer 1

In order to create scatterplots, we need to plot the values of x and y from each table on a coordinate plane. Let's create scatterplots for each table:

Table 1:
x: 50 46 98 59 78 64 68 53 70 72
y: 75 71 90 55 70 100 90 25 40 76

Table 2:
x: 50 46 80 59 78 64 68 53 70 68
y: 90 100 57 80 60 75 72 82 70 67

Table 3:
x: 50 46 80 59 78 64 68 53 70 68
y: 35 30 75 45 70 50 55 36 62 67

Table 4:
x: 50 46 90 59 78 64 68 53 70 72
y: 75 71 100 80 90 82 85 77 87 89

Now, let's analyze each scatterplot to determine which one shows a non-linear association:

Scatterplot 1:
This scatterplot appears to show a somewhat linear association. As x increases, y generally increases, but the relationship is not perfectly linear.

Scatterplot 2:
This scatterplot also shows a somewhat linear association. As x increases, y generally increases, but there are some points that deviate from the pattern.

Scatterplot 3:
This scatterplot shows a non-linear association. As x increases, y first increases, then decreases, and then increases again. This indicates a curved relationship between x and y.

Scatterplot 4:
This scatterplot appears to show a somewhat linear association. As x increases, y generally increases, but there are some points that do not follow the pattern perfectly.

Therefore, Scatterplot 3 shows a non-linear association.