Respuesta :
Answer:
C. The correlation of + 0.8 +0.8 is just as strong as the correlation of − 0.8 .
Correct. Both correlation coefficients+0.8 and -0.8 indicates strong relationship, the only difference is that the +0.8 is associated to a proportional relation and the value of -0.8 to an inverse proportional relation. But when we want to see if a correlation value is strong we need to analyze the absolute value and if we satisfy that the absolute value is near to 1 we have strong relationship.
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
Solution to the problem
A. The correlation of + 0.8 indicates a stronger relationship than the correlation of − 0.8 .
False both correlation coefficients +0.8 and -0.8 indicates strong relationship, the only difference is that the +0.8 is associated to a proportional relation and the value of -0.8 to an inverse proportional relation. But when we want to see if a correlation value is strong we need to analyze the absolute value and if we satisfy that the absolute value is near to 1 we have strong relationship.
B. It is impossible to tell which correlation is stronger.
False we can conclude soomething about the statement.
C. The correlation of + 0.8 +0.8 is just as strong as the correlation of − 0.8 .
Correct. Both correlation coefficients+0.8 and -0.8 indicates strong relationship, the only difference is that the +0.8 is associated to a proportional relation and the value of -0.8 to an inverse proportional relation. But when we want to see if a correlation value is strong we need to analyze the absolute value and if we satisfy that the absolute value is near to 1 we have strong relationship.
