For 1213, use some form of technology to determine the first four terms in the Legendre series expansion of the given function on the interval (1, 1). Plot the given function and the approximations S1 = a0P0, S3 = a0P0 + a1P1 + a2P2, S5 = a0P0 + a1P1 + a2P2 + a3P3 + a4P4 on the interval (1, 1). Comment on the convergence of the Legendre series to the given function for 1 < x < 1. f (x) = cos x.

Math 115 – Elementary Statistics Lesson 1 Notes Covering Chapter 1 Statistics is the science that deals with collection, classification, analysis, and interpretation of information or data. Statistical methods are particular useful for studying, analyzing, and learning about populations of experimental units. Let’s go through some definitions: An experimental unit is an object...