Question

1 for each scatter graph:
i state whether there is positive, negative, or no association between the variables.
ii decide whether the relationship between the variables is linear.
iii describe the strength of the association as zero, weak, moderate, or strong.
a scatter graph b scatter graph c scatter graph d scatter graph e scatter graph f scatter graph
2 a there is a positive association between ( x ) and ( y ). what happens to ( y ) as ( x ) increases?
b there is a negative correlation between ( t ) and ( d ). what happens to ( d ) as ( t ) increases?

Explanation:

Part 1: Analyzing Scatter Graphs (a to f)

Graph a

Step1: Association Type

As \( x \) increases, \( y \) decreases, so negative association.

Step2: Linear Relationship

Points follow a straight - line trend, so linear.

Step3: Strength of Association

Points are relatively close to a line, so strong.

Step1: Association Type

Points are randomly scattered, no trend, so no association.

Step2: Linear Relationship

No trend, so not linear.

Step3: Strength of Association

No association, so zero.

Step1: Association Type

As \( x \) increases, \( y \) increases, so positive association.

Step2: Linear Relationship

Points follow a straight - line trend, so linear.

Step3: Strength of Association

Points are relatively close to a line, so strong.

Answer:

I. Negative association; II. Linear; III. Strong

Graph b