Question

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

Name	Height (cm)	Weight (kg)
Orla	189	83.2
Adrian	197	94.9
Aida	183	80.0
Charla	176	87.2
Stefan	187	82.5
Becky	173	76.1
Rebecka	154	61.7
Dalya	168	77.0
Siran	183	74.5
Irlene	155	68.4
Mary	163	77.8
Calvin	172	64.0
Sanjeev	168	76.9

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: ?

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: ?

Answer 1

a) Use a statistical calculator or spreadsheet to find the coefficient of correlation for the data.

r = 0.766

b) Approximately what percent of the variation in weight in the sample is explained by variation in height?

r-squared = 58.7%

Formula Ref: