Question

shown below are the scatter plots for four data sets.
answer the questions that follow.
(a) which data set appears to show a positive linear
relationship between its two variables?
select
(b) which data set appears to show a negative
linear relationship between its two variables?
select
(c) which data set appears to show a nonlinear
relationship between its two variables?
select
(d) which data set appears to show no relationship
between its two variables?
select

Explanation:

• (a) Positive linear relationship: In Figure 3, as \(x\) increases, \(y\) also increases in a relatively straight - line fashion.
• (b) Negative linear relationship: In Figure 2, as \(x\) increases, \(y\) decreases in a relatively straight - line fashion.
• (c) Nonlinear relationship: In Figure 1, the pattern of the data points does not follow a straight - line (linear) trend.
• (d) No relationship: In Figure 4, there is no discernible pattern (either linear or nonlinear) between \(x\) and \(y\) values.

Answer:

(a) Figure 3; (b) Figure 2; (c) Figure 1; (d) Figure 4.