Consider the uncorrected Wick temperature data in degrees Fahrenheit (xi) and the corresponding temperatures in degrees Celsius (yi) as given in Exercise 16.4. The sample standard deviation and the...

Consider the uncorrected Wick temperature data in degrees Fahrenheit (xi) and the corresponding temperatures in degrees Celsius (yi) as given in Exercise 16.4. The sample standard deviation and the MAD for the Wick data are 6.62 and 1. a. Let sf and sc denote the sample standard deviations of X1, X2, ..., In and y1, y2, ..., Yn respectively. Check that sc = 5sF. b. Let MADF and MADc denote the MAD of X1, X2, ..., Xn and y1, Y2, ..., Yn respectively. Is it also true that MADc = SMADF? c. Suppose we have a dataset X1, X2, ..., Xn and construct y1, 42, ..., Yn where yi = axi + b with a and b being real numbers. Do similar rela- tions hold for the sample standard deviation and the MAD? If so, state them. which gives the following dataset 55 a 55 55 5 5 5 5 50 55 130 og g 130 g 5 5.