For problems 12, do the following: (a) Make a scatter diagram of the
scores; (b) describe in words the general pattern of correlation, if any; (c) figure
the correlation coefficient; (d) figure whether the correlation is statistically significant (use the .05 significance level, two-tailed); (e) explain the logic of what
you have done, writing as if you are speaking to someone who has never heard
of correlation (but who does understand the mean, deviation scores, and hypothesis testing); and (f) give three logically possible directions of causality, indicating for each direction whether it is a reasonable explanation for the
correlation in light of the variables involved (and why).
Question 12
Four research participants take a test of manual dexterity (high scores mean
better dexterity) and an anxiety test (high scores mean more anxiety). The
scores are as follows.