The following data were collected on two variables X and Y.
X 1 2 4 6 10 12
Y 20 15 12 10 5 1
a) Specify the null and alternate hypotheses for testing that the population correlation is negative.
b) Calculate the estimate of the population correlation coefficient between X and Y.
c) Calculate the coefficient of determination.
d) Using a 5% significance level, test the hypothesis in part a).