The data in the table displays a correlation coefficient of 0.4, indicating a weak positive correlation. Here option A is correct.
Correlation is a statistical measure that indicates the extent to which two variables move in tandem. It helps us understand the relationship between them. There are different types of correlation: positive, negative, and no correlation.
Positive correlation occurs when two variables move in the same direction. In cases of complete positive correlation, the correlation coefficient is 1. On the other hand, negative correlation describes a situation where one variable tends to decrease as the other increases. No correlation is asserted when there is no discernible connection between the variables.
Examining the provided graph, it is evident that as the 'x' variable increases, the 'y' variable also increases, indicating a positive correlation. Although the points on the graph are scattered, a discernible trend is observable. The scattered nature of the points signifies a weak correlation. For a positive weak correlation, the correlation coefficient should be less than 0.5.
Hence, based on the characteristics of the graph, it is reasonable to conclude that the given data exhibits a positive weak correlation, with a correlation coefficient value of 0.4. Here option A is correct.
Complete question:
Estimate the correlation coefficient that would best describe the data below.
A - 0.4
B - -0.4
C - 0.9
D - -0.9