Question

Twenty different statistics students are randomly selected. For each of​ them, their body temperature ​(degrees°​C) is measured and their head circumference​ (cm) is measured.

a. For this sample of paired​ data, what does r​ represent, and what does ρ represnts
b. Without doing any research or calculations, estimate the value of r.

Answer 1

r symbolizes a value of the linear correlation coefficient calculated for from the specific paired sample data in the sample .

ρ is a Spearman's rank correlation coefficient or Spearman's rho that symbolizes a parameter that represents the value of the linear correlation coefficient that would be computed by using ranks all of the paired data in the population for all statistics students.

r is estimated to be zero​, since there's no correlation between body temperature and head circumference.

Explanation:

Spearman's rank correlation coefficient or Spearman's rho is a nonparametric measure of rank correlation