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:
y=4.426x+412.327
=
4.426
+
412.327
(2 points)
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 9 degrees Celsius?
To find the predicted rainfall when the average temperature of the water is 9 degrees Celsius, we can plug x = 9 into the regression line equation:
y = 4.426(9) + 412.327
y = 39.834 + 412.327
y ≈ 452.161
Therefore, the predicted annual rainfall when the average temperature of the water is 9 degrees Celsius is approximately 452.161 millimeters.