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 degrees of latitude might be used.
to measure temperature, the unit dropdown might be used.

dropdown options:
degrees of latitude
miles per gallon
billions of dollars
degrees fahrenheit

Explanation:

Identify the variable and its measurement unit

Using the Latitude Measurement knowledge point, we know that latitude measures the angular distance north or south of the Earth's equator. The other variable in this pair is the average high temperature in June. Among the given options in the dropdown menu:

• "degrees of latitude" is used for latitude.
• "miles per gallon" is a unit of fuel economy.
• "billions of dollars" is a unit of monetary value.
• "degrees Fahrenheit" is a standard unit used to measure temperature.

Therefore, the unit that might be used to measure temperature is degrees Fahrenheit.

Analyze the relationship between variables

Using the Correlation Analysis knowledge point, we evaluate how the two variables behave relative to each other. As latitude increases (moving further away from the equator toward the poles), the intensity of solar radiation generally decreases. Consequently, the average high temperature in June tends to decrease. Because one variable increases while the other decreases, they are negatively correlated.

Answer:

• degrees of latitude
• miles per gallon
• billions of dollars
• degrees Fahrenheit (Correct answer)