A regression equation is determined that describes the relationship between average January temperature (degrees Fahrenheit) and

Question

3 years ago

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A regression equation is determined that describes the relationship between average January temperature (degrees Fahrenheit) and

geographic latitude, based on a random sample of cities in the United States. The equation is: Temperature = 110 ‑ 2(Latitude). How does the estimated temperature change when latitude is increased by one?

Mathematics

1 answer:

Musya8 [376] · Answer 1 · 2022-07-09T21:23:07+03:00

Answer:

Decreases by 2 degrees

Step-by-step explanation:

The expression that describes temperature as a function of latitude is:

$T=110-2(Latitude)$

This equation represents a linear relationship between latitude and temperature in a way that an increase in latitude causes a decrease in temperature. The magnitude of this decrease is quantified by the slope of the linear equation, which is -2. Therefore, the estimated temperature decreases by 2 degrees when latitude is increased by one.