3, Colorado Snow. The file called co-annual-snowfall,JMP contains data on annual

Question

3, Colorado Snow. The file called co-annual-snowfall,JMP contains data on annual snowfall and elevation at 27 different locations in Colorado, both cities and ski resorts. Tourism is a very large part of the economy of the Rocky Mountain part of Colorado. Ski resorts and ski towns often boast of their annual snowfall. Often, the more snow, the better the economy does. The mayor of Dillon believes some ski resorts and ski towns are inflating their annual snowfalls to attract more tourists. She wants to predict snowfall based on elevation where the annual snowfall comes from the National Weather Service.

Explanation / Answer

Given that the data is not accessible and the linear fit is already done by the person requesting the answer, we will move to parts b, c and d.

(b) The estimated value of the intercept is -186.5583

This means that at elevation = 0, the snowfall will be -186.5583. This doesn't make practical sense as snowfall levels cannot be less than zero but it should be noted that all elevations (as per graph shown) under the purview of the Mayor are above 4000 units, so the fitted equation will give a sensible snowfall value for such and above heights.

(c) The estimated value of coefficient of the variable 'elevation' is: 0.040996

This means that for every unit of rise in elevation, there will be an increase of 0.040996 units of snowfall levels. Within the context of the problem, it makes sense that as elevation increases, the level of snowfall also increases.

(d) The percentage of variation explained by the explanatory variable 'elevation' is denoted by the statistic 'R-square', which is, as given in the attached figure => R^2 = 0.897909

=> %age of variation explained = 89.79% [Answer (d)]

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