Scatterplot Matching
y
S2
y
S1
x
x
y
S4
y
S3
x
x
y
S6
y
S5
x
Scatterplot Matching
x
1
Correlation r Matching scatterplot(s)
0.27
-0.93
0.86
-0.86
-0.54
Coefficient of
Determination R2 Matching scatterplot(s)
7%
75%
86%
29%
Test statistic t for
H0: 1 = 0* Matching scatterplot
17.2
2.8
-6.4
-7.3
-17.2
-24.8
* Larger values of t will result in smaller P-values for HA: 1  0.
Examine S1. This is the weakest of the 6 associations. For this situation, is the association
between x and y statistically significant at the 5% level? (That is, can you reject H0: 1 = 0 in
favor of HA: 1  0 at a 5% level?) How do you know?
Scatterplot Matching
2