A regression study of the relationship between the boiling temperature of water (y,in degrees Fahrenheit) and...
A regression study of the relationship between the boiling temperature of water (y,in degrees Fahrenheit) and the atmospheric pressure (x, in inches of mercury) based on a data set withn= 30 observations resulted in the following regression equation:ˆy= 149 + 2.1x. If the average of the 30 atmospheric pressure reading (i.e. ̄x)was 20 inches of mercury, then what the average of the boiling temperature reading(i.e. ̄y) for these 30 observations.
Homework Answers
The coefficient b0 = (Sum y - b1 * Sum x) / n
Here b0 = 149, b1 = slope = 2.1
Sum x = Mean * Total observations = 20 * 30 = 600
n = 30
Therefore (Sum y - 2.1 * 600) / 30 = 149
Solving, we get : Sum y = (149 * 30) + (2.1 * 600) = 4470 + 1260
Sum y = 5730
Average y = 
= 5730 / 30 = 191
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