Question

A traffic officer is compiling information about the relationship between the hour or the day and the speed over the limit at which the motorist is ticketed. He computes a correlation coefficient of 0.12. What does this tell the officer?

Answer 1

The correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.

Explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The types of correlation coefficient are:

• +1 (-1) : Perfect positive (negative) correlation
• 0 to 0.30(-0.30) : Weak positive (negative) correlation
• 0.30(-0.30) to 0.70(-0.70) : Moderate positive (negative) correlation
• 0.70(-0.70) to 1 (-1) : Strong positive (negative) correlation

The correlation coefficient value between the hour of the day and the speed over the limit at which the motorist is ticketed is:

r = 0.12.

The value of r lies between:

0 < 0.12 < 0.30

Thus, the correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.