THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A sample of 8 households was asked about their monthly income (x)and the number of hours they spend connected to the internet each month (y).The data yield the following statistics:
,
,
,
,
-An indication of no linear relationship between two variables would be a:
A)coefficient of determination equal to 1
B)coefficient of determination equal to -1
C)coefficient of correlation equal to 0
D)coefficient of correlation equal to -1

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A sample of 8 households was asked about their monthly income (x)and the number of hours they spend connected to the internet each month (y).The data yield the following statistics:  
,  
,  
,  
, 
-An indication of no linear relationship between two variables would be a:
A)coefficient of determination equal to 1 
B)coefficient of determination equal to -1 
C)coefficient of correlation equal to 0 
D)coefficient of correlation equal to -1

Quizplus · Accepted Answer

The coefficient of correlation measures the strength and direction of a linear relationship between two variables. A coefficient of 0 indicates no linear relationship between the variables. A coefficient of determination equal to 1 or -1 would indicate a perfect linear relationship between the variables, which is not an indication of no linear relationship. Therefore, the best choice is C.