In Study 4 of their article, the authors recorded how mountainous each U.S. state is using a
measure involving the highest mountain, the elevation difference, and the number of mountains
it had that were reported in a list of U.S. mountains. They also used a very large-scale survey of
619,000 U.S. respondents who reported about their extroversion. They computed the average
level of extroversion in each state from this survey. Then they reported the association between
state mountainousness and state extroversion. The correlation was reported as r=-.40 (p < .01).
Study 4 Questions
4-1. What does the correlation mean in this result? Is this relationship strong or
weak?
4-2. Sketch a scatterplot of this correlation on a well-labeled graph.
4-3. Compute the 95% CI from this study using information from the previous
paragraph and this web calculator: http://vassarstats.net/rho.htmlLinks to an external
site..
4-4. What might happen to this correlation if you added to the sample a forgotten
state with extremely high mountains and also extremely high levels of extroversion?
Explain your answer, perhaps with a drawing.
4-5. What might happen to this correlation if you added to the sample a forgotten
state with almost no mountains and also extremely high levels of extroversion?
Explain your answer
Fig: 1