Question

shown below are the scatter plots for four data sets.
answer the questions that follow.

(a) which data set appears to show no
relationship between its two variables?
(b) which data set appears to show a
negative linear relationship between its
two variables?
(c) which data set appears to show a positive
linear relationship between its two
variables?
(d) which data set appears to show a
nonlinear relationship between its two
variables?
select
the data set in figure 1
the data set in figure 2
the data set in figure 3
the data set in figure 4
select

Explanation:

Part (a)

To determine which data set shows no relationship, we look for scattered points with no clear pattern. Figure 4's points are randomly distributed, showing no association between variables.

A negative linear relationship has points decreasing as \( x \) increases. Figure 1's points show a downward trend, indicating a negative linear relationship.

A positive linear relationship has points increasing as \( x \) increases. Figure 3's points show an upward trend, indicating a positive linear relationship.

Answer:

The data set in Figure 4

Part (b)