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

Answer:

Correlation will not change.

Correlation coefficient = -0.72

Step-by-step explanation:

We are given the following in the question:

Correlation coefficient between hours spent studying and hours spent on the Internet = -0.72

Properties of correlation coefficient:

• Correlation is a technique that help us to find or define a relationship between two variables.
• It is a measure of linear relationship between two quantities.
• It is not affected by the units of the variable or change in units of the variable.

Thus, if the units of each variable is changed from hours to minutes, the correlation coefficient remains the same between minutes studying and minutes spent on the Internet.