To find out how much rainfall the regression line predicts for an average temperature of 6 degrees Celsius, we can substitute x = 6 into the equation:
y = 8.451(6) + 263.749
y = 50.706 + 263.749
y = 314.455
Therefore, the regression line predicts that the annual rainfall would be approximately 314 millimeters if the average temperature of coastal waters is 6 degrees Celsius.
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 least squares regression line of this data set is:
y = 8.451x + 263.749
How much rainfall does this line predict in a year if the average temperature of coastal waters is 6 degrees Celsius?
Round your answer to the nearest integer.
______ millimeters
1 answer