Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)Responsesx 50 46 98 59 78 64 68 53 70 72y 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 76x 50 46 90 59 78 64 68 53 70 72y 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 89x 50 46 80 59 78 64 68 53 70 68y 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 67x 50 46 80 59 78 64 68 53 70 68y 90 100 57 80 60 75 72 82 70 67

Question

pick one set

Answer 1

To determine which scatterplot shows a non-linear association, we'll analyze one of the sets of values you've provided.

Let's examine the last set of data points:

Set of values:

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

Creating the Scatterplot

When we plot these points on a Cartesian plane (where x is on the horizontal axis and y is on the vertical axis), we can observe how the points are distributed.

1. (50, 90)
2. (46, 100)
3. (80, 57)
4. (59, 80)
5. (78, 60)
6. (64, 75)
7. (68, 72)
8. (53, 82)
9. (70, 70)
10. (68, 67)

Observations

When plotting these points:

• (46, 100) is at the top left and appears higher than expected decreasing trend.
• (80, 57) is at the far right and is lower than surrounding points, suggesting a significant drop.
• Overall, the points do not follow a consistent upward or downward trend but have varying positions that suggest a curve or fluctuation rather than a linear pattern.

Conclusion

The scatterplot created from the values above shows a non-linear association: the y-values do not increase or decrease in a consistent manner as the x-values do.

Thus, this set of data can be identified as showing a non-linear association in its scatterplot.