Given:
The given bivariate data is(1,6),(3,2), and (2,4).
Calculation:
First determine
Find the sample variance
Find sample standard deviation.
For covariance
Where n = number of ordered pairs.
n=3
Find the correlation coefficient r using the formula
Hence the value of correlation coefficient r = -1.
The two-way table summarizes data from an experiment comparing the effectiveness of three different diets (A, B, and C) on weight loss. Researchers randomly assigned 300 volunteer subjects to the three diets. The response variable was whether each subject lost weight over a 1-year period.
Suppose we randomly select one of the subjects from the experiment. Show that the events "Diet B" and "Lost weight" are independent.