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 the correlation coefficient for the variables is determined to be 0.70, which of the following is known to be true?
A) The relationship between the variables is nonlinear.
B) The correlation is negative.
C) The scatterplot for the variables will be upward sloping from left to right.
D) The scatterplot for the variables will be downward sloping from left to right.
E) The scatterplot shows a 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 the correlation coefficient for the variables is determined to be 0.70, which of the following is known to be true?
A) The relationship between the variables is nonlinear. 
B) The correlation is negative. 
C) The scatterplot for the variables will be upward sloping from left to right. 
D) The scatterplot for the variables will be downward sloping from left to right. 
E) The scatterplot shows a curvilinear pattern.

Quizplus · Accepted Answer

A correlation coefficient of 0.70 indicates a positive correlation between the variables. Therefore, the scatterplot for the variables will be upward sloping from left to right. The fact that the correlation coefficient is not -1 or 1 suggests that the relationship between the variables is not strong enough to create a perfectly linear pattern. It is not possible to determine if there is a curvilinear pattern just from the information given.

Consider the Following to Answer the Question(s) Below