Question

would a trend line be a good fit for these data? explain
choose the correct answer below
a. the scatter plot shows no association, so a horizontal trend line is a good choice
for modeling the data
b. the scatter plot shows a negative association, so a trend line with a negative slope
is a good choice for modeling the data
c. the scatter plot shows a positive association, so a trend line with a positive slope
is a good choice for modeling the data
d. the scatter plot shows no association, so a trend line is not a good choice for
modeling the data

Explanation:

A trend line is used to model the relationship in a scatter - plot. If there is no association (points are randomly scattered with no discernible pattern), a trend line is not appropriate. In the given scatter - plot, the points do not show a positive (increasing \(y\) as \(x\) increases) or negative (decreasing \(y\) as \(x\) increases) linear pattern.

Answer:

D. The scatter plot shows no association, so a trend line is not a good choice for modeling the data.