Question
A regression of the mean annual precipitation in inches as a function of number of days per year with measurable precipitation across cities yielded rain
A regression of the mean annual precipitation in inches as a function of number of days per year with measurable precipitation across cities yielded rain = 2 + 0.8 (number of rainy days), R2 = .75, and RMSE = 11. How do you interpret the intercept coefficient estimate of 2?
a. There must be 2.5 rainy days before there is any measured rain.
b. If there are no rainy days in a year, meteorologists report a 2-inch rainfall for the year.
c. The regression results hold for values of the independent variables that are similar to values used to estimate the regression and not for extreme values, like 0 rainy days per year.
d. Since the RMSE is 5.5 times the intercept coefficient, we can conclude that it is not significantly different from 0.
e. The average annual rainfall will be 0.8 inch for every rainy day exceeding 2.
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