For which data set would a scatterplot be most useful?

Question

(1 point)
Responses

Variable 1 Variable 2
7 15
6 15
2 15
8 15
10 15
11 15
9 15
1 15
3 15
4 15
5 15
Variable 1 Variable 2 7 15 6 15 2 15 8 15 10 15 11 15 9 15 1 15 3 15 4 15 5 15

Variable 1 Variable 2
10.09 0.01
10.28 0.01
10.17 0.02
11.01 0.009
11.15 0.015
11.06 0.012
10.24 0.01
10.54 0.011
10.47 0.013
10.78 0.018
Variable 1 Variable 2 10.09 0.01 10.28 0.01 10.17 0.02 11.01 0.009 11.15 0.015 11.06 0.012 10.24 0.01 10.54 0.011 10.47 0.013 10.78 0.018

Variable 1 Variable 2
1 7
10 13
5 24
Variable 1 Variable 2 1 7 10 13 5 24

Variable 1 Variable 2
5.49 11.12
4.25 8.75
3.17 6.25
1.57 3.21
9.58 20.01
11.72 23.85
10.99 22.32
8.41 17.23
2.34 5.51
6.09 12.42
7.62 15.48
Variable 1 Variable 2 5.49 11.12 4.25 8.75 3.17 6.25 1.57 3.21 9.58 20.01 11.72 23.85 10.99 22.32 8.41 17.23 2.34 5.51 6.09 12.42 7.62 15.48
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Answer 1

A scatterplot is most useful for examining the relationship between two quantitative variables.

Looking at the provided datasets:

1. The first dataset has all Variable 2 values as a constant (15), which means no variation in Variable 2. A scatterplot would not be helpful since there is no relationship to illustrate.

2. The second dataset has Variable 2 values that vary slightly around a small range while Variable 1 values vary more. While there is some variation, the change is very slight, making a scatterplot not particularly insightful.

3. The third dataset has only three pairs of data points, which is not enough for a meaningful scatterplot to show any potential relationship.

4. The fourth dataset has varying values for both Variable 1 and Variable 2, suggesting a potential relationship that can be explored through a scatterplot.

Therefore, the fourth dataset would be the most useful for a scatterplot, as it displays variability in both variables that could reveal a correlation.