Question

1. What does it mean to say that a country’s land area is positively correlated with its population?

Answer 1

#1) What does it mean to say that a country’s land area is positively correlated with its population?

Answer: When they sat that a country’s land area is positively correlated with its populations it means that the larger the land area of a country is, the higher its population tends to be. The right answer is choice A).

#2) What is an outlier?

Answer: Out of all the options that are presented the one that represents what an outlier is would be choice B) A data point that falls outside of the general trend on a graph.  

#3) What is a trend line on a scatter plot?

Answer: Out of all the options that are presented above the one that explains what a trend is on a scatter plot is choice A) A visual representation of the relationship between two variables.

I hope it helps, Regards.

Answer 2

1. ANSWER: The larger the land area of a country, the higher its population tends to be.

The understanding of the concept of correlation is required for this item. Two objects, values, or variables which are said to be correlated are directly/inversely related with each other.

For this item, a positive correlation between the country's land area and its population would just simply mean that, as the land area of the country increases, its population would also increase.

2. ANSWER: A data point that falls outside of a general trend on a graph.

We can deduce the definition of an outlier from the name itself. The term suggests that it's referring to a data point which "lies outside", and this means that the data point is sort of out of place or something which does not belong with the other points that follow a general trend.

3. ANSWER: A visual representation of the relationship between two variables.

A trend line, as the name suggests, is a line drawn on a scatter plot to show the general trend of the data points. It does not necessarily connect every point, especially when there are outliers present. It just shows where the data points generally lie, and thus projects a visual of the relationship in a scatter plot.