A mountain climber can determine altitude above sea level by using a barometer to measure atmospheric pressure-lower pressure meaning higher altitude. However, the barometers available in the midnineteenth century were very delicate and difficult to carryon expeditions into mountaineous terrain. The Scottish physicistJames D. Forbes hoped to get around this difficulty by determining barometric pressure from the boiling point of water. Forbes made measurements at 17 locations in the Alps and in Scotland. Here is the data as published in his 1857 paper. See Weisberg for a very complete analysis of this data. Boiling point (BP) is measured in degrees Fahrenheit and pressure (Pr') in inches of mercury,(a) If Forbes wants to use a regression model, which variable is X and which Y? Explain.(b) Without doing any calculations, should b be positive or negative?(c) Give the estimated regression line for the model.(d) Does this data support use of a linear model?(e) How fast does the atmospheric pressure decrease as you climb?
A mountain climber can determine altitude above sea level by using a barometer to measure…
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