Chapter 4.4, Problem 17E

To determine

To write: A real-life dataset that represents negative correlation.

Answer to Problem 17E

  $\begin{array}{llllllll}x\hfill & 0\hfill & 1\hfill & 2\hfill & 3\hfill & 4\hfill & 5\hfill & 6\hfill \\ y\hfill & 4\hfill & 3.5\hfill & 3\hfill & 2.5\hfill & 2\hfill & 1.5\hfill & 1\hfill \end{array}$

Explanation of Solution

Given information: A real-life dataset is to be created.

Calculation:

  $\begin{array}{llllllll}x\hfill & 0\hfill & 1\hfill & 2\hfill & 3\hfill & 4\hfill & 5\hfill & 6\hfill \\ y\hfill & 4\hfill & 3.5\hfill & 3\hfill & 2.5\hfill & 2\hfill & 1.5\hfill & 1\hfill \end{array}$

In the above table, $x$ represents the kilometers travelled by a car and $y$ represents the fuel left in fuel tank, as fuel decreases as distance travelled increases, $\therefore$ it is a negative correlation.

Graph:

The scatter plot is: