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 rho ​represent? b. Without doing any research or​ calculations, estimate the value of r. c. Does r change if body temperatures are converted to Fahrenheit​ degrees?

Answer 1

See the explanation below.

Explanation:

a. For this sample of paired​ data, what does r​ represent, and what does rho ​represent?

r stands for the correlation coefficient value that is normally estimated by pairing the sample data.

rho refers to parameter that is employed to denote the linear correlation coefficient value that is intended to be calculated by employing the every paired data in the population of all statistics students.

b. Without doing any research or​ calculations, estimate the value of r.

The computed value of r is 0.

The reason is that it is possible that no correlation exist between body temperature and head circumference.

c. Does r change if body temperatures are converted to Fahrenheit​ degrees?

This will make the value of r to change.

The reason is that when the all values of a variable is changed to another scale, it will have any influence on the value of r.