Answer:
Option B.
Step-by-step explanation:
It is given that scatter points of graph A and graph B are
Graph A : (1,2), (2,2), (3,2), (4,2) and (5,2).
Graph B : (1,11), (2,9), (3,7), (4,5) and (5,3).
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the rate of change is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two ordered pairs of graph A: (1,2) and (2,2). Slope of graph A is
[tex]m=\frac{2-2}{2-1}=0[/tex]
The rate of change of graph A is 0, which represents a no correlation between x and y.
Consider any two ordered pairs of graph B: (1,11) and (2,9). Slope of graph B is
[tex]m=\frac{9-11}{2-1}=-2[/tex]
The rate of change of graph B is -2, which represents a negative correlation between x and y.
Therefore, the correct option is B.
