What does it mean to say that a country’s land area is positively correlated with its population?
• The larger the land area of a country, the higher its population tends to be.
• The smaller the land area of a country, the higher its population tends to be.
• There is no relationship between a country’s land area and its population.
• A larger land area automatically means a higher population.
To determine the correct answer, we need to understand the concept of positive correlation. In statistics, positive correlation means that two variables tend to change in the same direction. In this case, we are looking at the relationship between a country's land area and its population.
If we observe that as the land area of a country increases, its population tends to be higher, then we can say that there is a positive correlation between land area and population. Therefore, the correct answer is:
• The larger the land area of a country, the higher its population tends to be.
To confirm this, you can analyze data from various countries and compare the land area with their respective populations. By plotting this data on a scatter plot and calculating the correlation coefficient, you can determine if there is indeed a positive correlation between land area and population.