1/21/2013

Questions on descriptive statistics from Chapter 4

Discuss Empirical Rule

Linear Transformations

Let x₁, …, x_n be a data collection and consider the linear transformation x_new=a+bx_i, i=1, …, n.

Example

How will the measures of center and spread change when a linear transformation is applied?

Consider the following monthly average temperatures for the city of New York.

Month
Jan.
Feb.
March
April
May
June
July
Aug.
Sept.
Oct.
Nov.
Dec.

Temp (^oF) 32
33
41
52
62
72
77
75
68
58
47
35

Find the measures of center and spread for degrees centigrade. Let x_new = 5/9*(x-32).

Month	Jan.	Feb.	March	April	May	June	July	Aug.	Sept.	Oct.	Nov.	Dec.
Temp (^oF)	32	33	41	52	62	72	77	75	68	58	47	35

1/21/2013

Questions on descriptive statistics from Chapter 4

Discuss Empirical Rule

Linear Transformations

Example

Please read Sections 5.1, 5.2, and 5.3 for class on Wednesday