Chapter 4.4, Problem 23E

To determine

To describe if it’s possible to find a line of fit for the data set that has no correlation.

Answer to Problem 23E

A line of fit cannot be drawn for no correlation data set.

Explanation of Solution

Given:

N/A

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.
• The line of fit is the line that most closely goes through the points of data

Calculation:

Given:

As per the definition of no correlation, we have:

No correlation whenthe values don't seem linked at all.

And now, As per the definition of line of fit, we have:

The line of fit is the line that most closely goes through the points of data

This means, that a line of fit cannot be drawn for no correlation data set.

Conclusion:

A line of fit cannot be drawn for no correlation data set.