MAT 2379 Lecture Notes - Lecture 1: Variance, Linear Map, Biostatistics
15 Dec 2015
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Mat 2379, introduction to biostatistics, lecture notes for chapter section 9. 1 (part 3)1. Often in practice, we transform our data by applying a transformation (i. e. using a function) on the numerical variable. In these notes we investigate the e ects of a transformation on a distribution. A linear transformation of a variable x is a new variable of the form: The following data set gives the temperatures for 4 women in degrees. Celsius: x1 = 36. 23, x2 = 36. 41 x3 = 36. 77 x4 = 36. 15. The sample mean, sample variance, and sample standard deviation are: X = 36. 39, s2 x = 0. 076, sx = 0. 2757. We would like to express the data in degrees fahrenheit. The new data points are: y1 = 97. 214, y2 = 97. 538 y3 = 98. 186 y4 = 97. 07. The sample mean, sample variance, and sample standard deviation of the new sample are: Y = 97. 502, (sy)2 = 0. 246, sy = 0. 496.
