Data on Internet usage (per 100 inhabitants) and population were collected for a sample of 52 countries (United Nations database). The data resulted in the following scatterplot. a. Do you think there is a clear pattern? Describe the association between Internet usage and population.
b. Comment on any unusual data point or points in the data set. Explain.
c. Do you think a model could accurately predict the Internet usage in India with a population of 1,339,346,874? Explain.

Question

Data on Internet usage (per 100 inhabitants) and population were collected for a sample of 52 countries (United Nations database). The data resulted in the following scatterplot.  a. Do you think there is a clear pattern? Describe the association between Internet usage and population.
b. Comment on any unusual data point or points in the data set. Explain.
c. Do you think a model could accurately predict the Internet usage in India with a population of 1,339,346,874? Explain.

Quizplus · Accepted Answer

The Answer is a. There is no clear pattern. At first glance, there appears to be a weak, negative association between Internet usage and population because of the points at the bottom right of the graph representing countries with low Internet usage and large populations.
b. The points in the bottom right corner seem to have extremely low Internet usage for densely populated countries, making them outliers and influential points. These points would also be leverage points, creating the impression that there is a negative association between Internet usage and population.
c. It would be extrapolation to try to use this data to predict the Internet usage in India since its population is outside the range of population values in the data set. The predicted value would hardly be trustworthy.

Data on Internet Usage (Per 100 Inhabitants) and Population Were