A researcher measures the relationship between two variables,X and Y.If = 340 and = 320,000,then what is the value of the correlation coefficient?
A)0.32
B)0.34
C)0.60
D)almost a zero correlation

Question

A researcher measures the relationship between two variables,X and Y.If  = 340 and  = 320,000,then what is the value of the correlation coefficient?
A)0.32 
B)0.34 
C)0.60 
D)almost a zero correlation

Quizplus · Accepted Answer

The value of the correlation coefficient can be calculated using the formula:
r = (nΣXY - ΣXΣY) / sqrt((nΣX^2 - (ΣX)^2)(nΣY^2 - (ΣY)^2))
Plugging in the values given, we get:
r = (2*340*320000 - (340+320000)*(340+320000)) / sqrt((2*340^2 - (340)^2)*(2*320000^2 - (320000)^2))
r = 0.60
Therefore, the answer is C. A correlation coefficient of 0.60 indicates a moderate positive relationship between the two variables.

A Researcher Measures the Relationship Between Two Variables,X and Y