The correlation coefficient that would best describe the data give in the table is 0.4 which is a weak positive correlation.
Correlation
What is correlation?
The statistical concept of correlation describes how closely two variables move in tandem with one another.
Types of correlation:
(1) Positive correlation:
- The two variables are considered to have a positive correlation if they move in the same direction.
- When there is a complete positive correlation, the correlation coefficient is 1.
(2) Negative correlation:
- We say there is a negative correlation between the variables when the 'y' variable tends to decrease as the 'x' variable increases.
(3) No correlation:
- We claim there is no correlation between the two variables when there is no obvious connection between them.
Description for the graph:
As the graph is scattered in such a way that,if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases so the relation is positive correlation.
But it is seen in the graph that these points are scattered, so this relation is weak. For positive weak correlation the value should be less than 0.5.
Therefore, the given graph shows positive weak correlation with value 0.4.
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