Please complete the following tasks (you can answer most questions below by filling the values in the tables]: 1. Compute the mean, the va riance. and the standard deviation of Xand Y. respectively. Round to the nearest hundredth wherever necessary. (T his is a sample clataset.)

2. Compute the z—value for each value of X and Y (call them Zx and 23!]. 3. Is there an).r ouﬂier? Why or why.r not? 4. Compute the mean, the va riance. and the standard deviation of Z): and Zy. 5. Compute the covariance and the correlation coefﬁcient between X and Y. 6. Compute the covariance and the correlation coefﬁcient between Z): and Zy. '3'. What does the correlation coefﬁcient tel us? 8. What does the value of hi tell us? x v Zx Zy D 3

‘I O

2 -1

3 3

4 1

mea n

Variance

Sta nd ard

deviation

X and Y Zx and Z3:

cov b‘l