1 Measurement Error Nikhil takes weekly measurements (in mm) from a backyard rain gauge, subject to classical measurement error with of = 16. After collecting a year's worth of weekly measurements, it is found that the measured weekly amount of rain ~ N (15, 25) a) What is the standard deviation of the actual amount of rain that fell? b) Every week, he also took (an accurate) measurement of the average grass growth (also in mm) in his yard and found the relationship growth = 0.01 + 1.37rainfall. Assuming that there are no omitted variables (like incidence of sunlight), what would be an unbiased estimate of the slope term