A Regression of the Mean Annual Precipitation in Inches as a Function

question 41

Multiple Choice

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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