Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal water.
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 sets is:
y = 4.426x + 412.327
The regression line predicts an additional 1. ___ 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? 2.____
1.
a. 412.327
b. 4.426
c. -4.426
d. -412.327
2.
a. 449.217
b. 387.455
c. 39.834
d. 452.161
1. b. 4.426
2. c. 39.834
To find the predicted rainfall if the average temperature of the water is 9 degrees Celsius, substitute x=9 into the regression line equation:
y = 4.426(9) + 412.327
y = 39.834 + 412.327
y = 452.161
Therefore, the predicted rainfall if the average temperature of the water is 9 degrees Celsius is 452.161 millimeters.