Question

Identify the type of the following correlation diagram.

A. Weak Negative
B. Weak Positive
C. Strong Positive
D. Strong Negative

Answer 1

Hint: First we need to know the meaning of correlation. After that, we must know what are the types of correlation depending upon the direction of the relationship between variables. Then, check which type matches the graph. That type will be the desired result.

Complete step by step solution:
The degree of correlation can be determined as follows:
There will be a perfect correlation between two variables if the value of the correlation coefficient is near $ \pm 1$, that is, as one variable increases, the other variable tends to also increase (if positive) or decrease (if negative).
There will be a high degree of correlation or strong correlation between two variables if the value of the correlation coefficient lies between $ \pm 0.5$ and $ \pm 1$.
There will be a moderate degree of correlation or medium correlation between two variables if the value of the correlation coefficient lies between $ \pm 0.3$ and $ \pm 0.49$.
There will be a low degree of correlation or a small correlation between two variables if the value of the correlation coefficient lies below $ \pm 0.29$.
There will be no correlation between the two variables if the value of the correlation coefficient is zero.
Now, we can see that, in the graph as the value of an independent variable is increasing the value of the dependent variable is decreasing and vice-versa.
So, it is matching with the definition of a negative correlation.
Now as the points resemble a straight line. So, it is a strong negative.

So, the correct answer is “Option D”.

Note: Correlation coefficient can be defined as a measure of the relationship between two quantitative or qualitative variables, i.e. X and Y. It serves as a statistical tool that helps to analyze and in turn, measure the degree of the linear relationship between the variables.