Use the tables to create scatterplots and determine which scatterplot shows a non-linear association

Question

x 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 67

x 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

Answer 1

The scatterplot that shows a non-linear association is the first one.

Here are the scatterplots for each set of data:

1. Scatterplot 1:

The scatterplot shows a curvy relationship between x and y values. As the x values increase, the y values do not increase or decrease consistently, indicating a non-linear association.

2. Scatterplot 2:

The scatterplot shows a linear relationship between x and y values. As the x values increase, the y values also increase or decrease consistently, indicating a linear association.

3. Scatterplot 3:

The scatterplot shows a linear relationship between x and y values. As the x values increase, the y values also increase or decrease consistently, indicating a linear association.

4. Scatterplot 4:

The scatterplot shows a curvy relationship between x and y values. As the x values increase, the y values do not increase or decrease consistently, indicating a non-linear association.

Overall, Scatterplot 1 and Scatterplot 4 show non-linear associations.