Chapter 4.5, Problem 16E

To determine

To describe and correct the error in interpreting the graphing calculator display -

  

Answer to Problem 16E

The data have a strong negative correlation.

Explanation of Solution

Given:

  

Formula Used:

• Correlation is Positive when the values increase or decrease together, and
• Correlation is Negative when one value decreases as the other increases
• There is no correlation whenthe values don't seem linked at all.

A perfect negative correlation is represented by the value -1, a 0 indicates no correlation, and a +1 indicates a perfect positive correlation.

Calculation:

Given is −

  

As per the given values, we have:

  $r=-0.9994724136$

As per the above definition of positive and negative correlation, we have:

A perfect negative correlation is represented by the value -1, a 0 indicates no correlation, and a +1 indicates a perfect positive correlation.

Since, the value of $r$ is negative and closer to $-1$

Thus, the data have a strong negative correlation.

Conclusion:

The data have a strong negative correlation.