Question

A recent sample of college students 13 resulted in the following measures of heights and weights.

Name	Height (cm)	Weight (kg)
Cedric	172	82.2
Orla	190	80.4
Stefan	189	77.4
Mary	150	67.0
Radu	160	61.1
Aida	199	89.4
Zoe	182	86.0
Sanjeev	168	82.5
Marc	171	86.1
Dalya	167	51.6
Cody	198	97.0
Becky	192	97.5
Chauncey	174	64.3

a) Use a statistical calculator or spreadsheet to find the coefficient of correlation for the data.
For full marks your answer should be accurate to at least three decimal places.

Coefficient of correlation: 0

b) Approximately what percent of the variation in weight in the sample is explained by variation in height?
For full marks your answer should be accurate to at least one decimal place.

Percent Explained: 0%

Answer 1

The statistic software output for this problem is:

(a)

The coefficient of correlation for the data is : 0.703

(b)

R square = 0.4939

49.4% of the variation in weight in the sample is explained by variation in height .