Results of an investigation into the relationship between body build and energy

Question

Results of an investigation into the relationship between body build and energy intake of an individuals diet are presented. A measure of body build is the Quetelet index (x) with a high value of x indicating a thickset individual. The variable reflecting energy intake is y=dietary energy density. There were nine subjects in the investigation. Calculate r with and without subject 9 included. What do you learn?

Subject     X       Y

1              221   .67

2        228 .86

3    223   .78

4    211 .54

5    231 .91

6    215 .44

7    224 .90

8    233 .94

9    268 .93

Explanation / Answer

The correlation coefficient is

r= cov(x,y) /sd(x)*sd(y)

from Excel

Hence r =0.6579

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