Question

(graph photo attached)

Answer 1

Solution: Which best describes the association shown in the scatter plot?

The scatter plot describes the strong negative association because in the scatter plot strong downhill linear relationship.

The scatter plots helps us to determine the degree of association between the two variables. If the scatter plot shows an uphill pattern as we move from left to right, it indicates that there is positive association between the two variables. If the points are closer to each other in the uphill pattern, it indicates strong positive association. While if the scatter plot shows an downhill pattern as we move from left to right, it indicates that there is negative association between the two variables. If the points are closer to each other in the downhill pattern, it indicates strong negative association. If data does not show any pattern, it indicates that there is no association between the variables.

In the given scatter plot, we see there is downhill pattern as we move from left to right and also the points are closer to each other. Therefore, we can conclude that there is strong negative association.

Answer 2

Solution-

Properties of Correlation Coefficient,

1- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

2- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.

As in this graph x  increases y gets decreased, so it is a negative co-relation. And the points are scattered more the line, so it is a moderate negative co-relation graph. (Please follow the attached picture herewith)