Let a, b, and c be any real numbers and let x = (x1,x2 ...,Xị, .,x,) be a data set with a sample mean z and Let y = (Y1,½ --. \y »n) be a data set with a sample mean y. Let z = ax + by +c such that z = (ax, + by, + c, ax, + by,+ .,ax; + by; + c,.., ax, + by, + c). Show that z = až + bỹ + c.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Let a, b, and c be any real numbers and let x = (x1,x2 ...,Xị, .,x,) be a data set with a sample
mean z and Let y = (Y1,½ --. \y »n) be a data set with a sample mean y. Let z = ax + by +c
such that z = (ax, + by, + c, ax, + by,+ ..,ax; + by; + c,.., ax, + by, + c).
Show that z = až + bỹ + c.
Transcribed Image Text:Let a, b, and c be any real numbers and let x = (x1,x2 ...,Xị, .,x,) be a data set with a sample mean z and Let y = (Y1,½ --. \y »n) be a data set with a sample mean y. Let z = ax + by +c such that z = (ax, + by, + c, ax, + by,+ ..,ax; + by; + c,.., ax, + by, + c). Show that z = až + bỹ + c.
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