Question: The National Interagency Fire Center (www.nifc.gov) reports statistics about wildfires. Heres an analysis of the number of wildfires between 1985 and 2012. Dependent variable is

The National Interagency Fire Center (www.nifc.gov) reports statistics about wildfires. Here’s an analysis of the number of wildfires between 1985 and 2012.

Dependent variable is Fires
R-squared = 0.032%
s = 11690
Variable Coefficient
Intercept …………………. 75609.0
Years since 1985 ………… 78.5
a) Is a linear model appropriate for these data? Explain.
b) Interpret the slope in this context.
c) Can we interpret the intercept? Why or why not?
d) What does the value of se say about the size of the residuals? What does it say about the effectiveness of the model?
e) What does R2 mean in this context?

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a The scatterplot shows a roughly linearrelationship between the year and the number ofwildfires so the linear model is appropriate The relationship is very weak however b The model predicts an increase of anaverage of about 785 wildfires per year c It seems reasonable to interpret theintercept The model predicts about 75609 wildfiresin 1985 which is within the scope of the data although it isnt very useful since we know the actual number of ... View full answer

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