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?
select
the data set in figure 1
(b) which data set appears to show a negative
linear relationship between its two variables?
the data set in figure 2
(c) which data set appears to show a positive linear
relationship between its two variables?
the data set in figure 3
(d) which data set appears to show a nonlinear
relationship between its two variables?
select
the data set in figure 4

Explanation:

• (a) A non - relation means the points are scattered randomly. In Figure 3, the points have no clear pattern, so it shows no relationship.
• (b) A negative linear relationship has points that trend downwards from left to right. Figure 1 has this characteristic.
• (c) A positive linear relationship has points that trend upwards from left to right. Figure 2 shows this.
• (d) A non - linear relationship does not follow a straight - line (linear) pattern. Figure 4 has a curved - like trend (not a straight line), so it shows a non - linear relationship.

Answer:

(a) The data set in Figure 3.
(b) The data set in Figure 1.
(c) The data set in Figure 2.
(d) The data set in Figure 4.