Exercise 26 Page 198

We can look at each scatter plot and try to determine how well the line of fit represents the data. We will try to determine if it is a strong or weak correlation and if it is a positive or negative correlation. Let's look at the four given graphs.

Graph $a$

Since the slope of the line of fit is positive the data has a positive correlation. There are two alternatives, B and D, with positive correlation coefficients. To decide which one is correct, we need to find out if this data has a weak or strong correlation. Let's view the other scatter plots for data that has positive correlation.

Graph $d$

This data has a weaker correlation than the data in graph $a.$ Therefore, we know that the stronger positive correlation of B is associated with graph $a$ and the weaker positive correlation of D describes graph $d.$

Graph $b$

Graph $b$ has a strong negative correlation. Therefore, we match it with C.

Graph $c$

Graph $b$ has no correlation. Therefore, A describes the behavior of the data.

Summary