Question

for the following pair of variables, state the units that might be used to measure each variable. then state whether you believe that they are correlated. if you believe they are correlated, state whether the correlation is positive or negative. explain your reasoning.

latitude and the average high temperature in june

to measure latitude, the unit dropdown might be used.

Explanation:

Identify the variable and its standard units

The first variable mentioned is latitude. Latitude measures the angular distance north or south of the Earth's equator. The standard unit used to measure angles on the Earth's surface is degrees (specifically, degrees north or degrees south, denoted by \(^\circ\text{N}\) or \(^\circ\text{S}\)).

Analyze the relationship between variables

The two variables are latitude and the average high temperature in June. As you move further away from the equator (increasing latitude in the Northern Hemisphere, for example), the solar angle decreases, which generally leads to cooler temperatures. Conversely, locations closer to the equator (lower latitudes) receive more direct sunlight and are typically warmer.

Determine the type of correlation

Because an increase in latitude generally leads to a decrease in the average high temperature, the two variables move in opposite directions. This inverse relationship represents a negative correlation.

Answer:

To measure latitude, the unit <blank>degrees</blank> might be used.