Question

A teacher collected information from a class of 25 students about the time, in hours, they spent studying the previous week and the time, in hours, they spent on the Internet the previous week. The value of the correlation coefficient between hours spent studying and hours spent on the Internet was

0.72
. If the teacher changes the units of each variable from hours to minutes, what will be the value of the correlation coefficient between minutes studying and minutes spent on the Internet?

Answer 1

The value of the correlation coefficient between the time spent studying and the time spent on the Internet will remain unchanged at 0.72 when the units are changed from hours to minutes.

Step-by-step explanation:

The correlation coefficient is a measure of the strength and direction of a linear relationship between two variables. It is not affected by the changes in the scale or units of measurement. Therefore, converting the time spent studying and on the Internet from hours to minutes will not affect the value of the correlation coefficient.

Since the original correlation coefficient between hours spent studying and hours spent on the Internet was 0.72, after changing the units to minutes, the correlation coefficient will remain unchanged at 0.72.