Question

1.2 The table below shows the height and weight for a sample of 10 people.

Height (in)	Weight (lbs)
73	223
72	217
74	214
69	202
67	205
68	201
70	205
71	205
73	220
70	219

a) Calculate the sample variance of height.

b) Calculate the sample variance of weight.

c) Calculate the sample covariance of height and weight.

d) Calculate the sample correlation between height and weight.

Answer 1

The statistic software output for this problem is:

(a)

sample variance of height = 5.344

(b)

sample variance of weight = 62.211

(c)

sample variance of height and weight = 14.1444

(d)

sample correlation of height and weight = 0.7354