To answer this question, we need to determine the slope of the regression line, which represents how much the annual rainfall is expected to change for a one-degree increase in the average temperature of coastal waters.
Let's assume the regression line equation is:
y = mx + b
where:
m = slope of the regression line
b = y-intercept
Since the regression line predicts an additional m millimeters of annual rainfall if the average temperature of coastal waters increases by one degree Celsius, the slope of the regression line is m.
Once we have the slope, we can substitute the given temperature x = 10 degrees Celsius into the regression equation to find the predicted rainfall y.
Since the regression line equation was not provided in the question, we cannot calculate the predicted rainfall without this information.
Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal waters.
For the past few years, they monitored the average temperature of coastal waters (in Celsius), x, as well as the annual rainfall (in millimeters), y.
The regression line of this data set is:
The regression line predicts an additional
millimeters of annual rainfall if the average temperature of coastal waters increases by one degree Celsius.
Using this regression line, what is the predicted rainfall if the average temperature of the water is 10 degrees Celsius?
1 answer
1 answer