You wish to determine if there is a linear correlation between the two variables at a significance level of

=

0.001

=0.001

. You have the following bivariate data set.

x 89, 55.8, 77.3, 65.6, 79, 61.7, 73.4, 48.9, 49.4, 44.1, 53.2, 52.6, 77.7, 55.1, 68.5

y 8.5, 51.1, 0.4, 28.3, 13.4, 38, 15.1, 65.2, 38, 52.7, 49, 40.3, 24.4, 46.7, 30

(a)What is the correlation coefficient for this data set?r=

(b)To find the p-value for a correlation coefficient,use thetheory-based approachin the Rossman Chance applet to find the p-value for this correlation coefficient.

p-value =Round to 3 places if needed.