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 (b) which data set appears to show a negative linear relationship between its two variables? select (c) which data set appears to show a positive linear relationship between its two variables? select (d) which data set appears to show a nonlinear relationship between its two variables? select

Explanation:

Part (a)

To determine which data set shows no relationship between variables, we look for a scatter plot with points randomly scattered (no pattern). Figure 2 has points with no clear trend or relationship.

A negative linear relationship means as one variable increases, the other decreases in a linear (straight - line) pattern. Figure 1 has points that show a downward - sloping linear trend.

A positive linear relationship means as one variable increases, the other also increases in a linear pattern. Figure 4 has points that show an upward - sloping linear trend.

Answer:

Figure 2

Part (b)