Consider the following to answer the question(s) below:
A consumer research group investigating the relationship between the price of meat (per kilogram) and the fat content (grams) gathered data that produced the following scatterplot.
-If two variables have a curvilinear relationship, which of the following is true?
A) The correlation coefficient will not be able to measure strength of the association.
B) The correlation coefficient will be equal to-1.
C) The correlation coefficient will be equal to 1.
D) The scatter plot is useless to indicate that the relationship is curved.
E) Only outliers make the curvilinear pattern.

Question

Consider the following to answer the question(s) below:
A consumer research group investigating the relationship between the price of meat (per kilogram) and the fat content (grams) gathered data that produced the following scatterplot. 
-If two variables have a curvilinear relationship, which of the following is true?
A) The correlation coefficient will not be able to measure strength of the association. 
B) The correlation coefficient will be equal to-1. 
C) The correlation coefficient will be equal to 1. 
D) The scatter plot is useless to indicate that the relationship is curved. 
E) Only outliers make the curvilinear pattern.

Quizplus · Accepted Answer

The correlation coefficient only measures strength of a linear relationship. It cannot measure strength of a curvilinear relationship. Therefore, if two variables have a curvilinear relationship, the correlation coefficient will not be able to measure strength of the association accurately.

Consider the Following to Answer the Question(s) Below