Question

The amount of rainfall is measured using rain gauges. At a location in the USA, the data of the amount of rainfall (cm per hour) and wind speed (km per hour) are acquired over a rainy season and plotted in a scatter plot.

Find the correlation between the amount of rainfall and wind speed. Is it possible to determine the wind speed based on the amount of rain?

• A. Positive correlation
• B. Zero correlation
• C. Yes, it is possible to predict the wind speed based on the amount of rainfall.
• D. No, it is not possible to predict the wind speed based on the amount of rainfall.

Answer 1

Answer: (B), (D)

No, it is not possible to predict the wind speed based on the amount of rainfall.

From the given plot, there is no relation between the wind speed and the amount of rainfall, i.e., with the increase in the amount of rain, the wind speed neither increases nor decreases.

Hence, there is zero correlation between wind speed and the amount of rainfall.

Further, it is not possible to draw a line of best fit in this situation.

A trend line is a line around which all the given points are equally scattered. And the trend line that captures the essence of the data is called the line of best fit.

In this case, a line of best fit is not possible to draw.
$\therefore$ Data interpretation is not possible as we cannot draw line of best fit with the provided information.

Options (b) and (d) are correct.