Question

3-2-1kathleen wants to know whether height and shoe size are realted in women. She stops and surveys some female students on the quad and finds the following information:

Height	Shoe Size
64	6.5
60	7
70	8.5
69	9.5
66	7
67	8
70	8.5
66	8
68	8.5

1)what is the covariance of there data?

2)What is the coefficient of correlation of these data?

3)What is the relationship between the two variables?

a. Can't be determined

b. Weakly positive

c. Strongly positive

d. Moderately negative

Answer 1

Given Data is:

Height(X)	Shoe Size(Y)
64	6.5
60	7
70	8.5
69	9.5
66	7
67	8
70	8.5
66	8
68	8.5

Q1.

Covariance of X and Y is given by:

Q2.

The correlation coefficient is given by:

Hence there is a Strongly positive relationship between the two variables.