A analyzer believes that cow’s tail is used to ward off deer flies before they can bite. He attempts to correlate tail length with the number of welts caused by these flies biting cows. He samples 6 cows from the herd and finds:

Cow Tail length(cm) Welts

1 20 55

2 35 21

3 40 30

4 50 25

5 42 27

6 10 67

From this sample, calculate the standard deviation of the tail length, covariance and the correlation coefficient. Draw a scatterplot regarding the data.

2) Suppose the data from question 1 represented a population. What would be the new standard deviation, covariance, and correlation coefficient? As n gets larger, what happens to the covariance? Explain.(Iknow the answer to question#1, so please answer Q#2. thank you)