The Calculus Way
Using calculus, a function has its minimum where the derivative is 0. Since we need to adjust both m and b, we take the derivative of E with respect to m, and separately with respect to b, and set both to 0:
Each equation then gets
Question 2.57 in your text concerns the growth of an icicle over time. Length is measured in inches and is denoted by a y. Time is measured in minutes, x. a) x 95 min, sx 53.4 min, y 12.66 in, s y 8.5 in, r 0.996 b) y 32.16 cm, s y 21.58 cm, r 0.996
Student Formula Sheet
Parameter/Statistic mean Population x Population N ( x )2 2 N 2 x 2 2 N Sample x Sample x n ( x x )2 2 s n 1
s
2
variance
x x
2
2
n 1
n( n 1)
standard deviation coefficient of variation (CV) interquart
Practice for Test 1
An excerpt from a data set is given below. The variables are, obs, a number assigned to participants in the study sequentially as they are admitted, gpa, the grade point average of the participant, iq, score from a standard test,
Practice for Test 2
1. A certain children's game uses a spinner instead of a die to determine movement. The spinner is shown below. Find the probability distribution for the outcome of this device, where the outcome is a single spin. X 1 2 3 4 P(x) 1
Introduction to Applied Statistics, Math 283 Spring 2008 Text: Introduction to the Practice of Statistics, 5th Edition, Moore and McCabe 6400-8 Instructor: Josef Brown email: [email protected] Office: Speare 139 Phone: 835-5621 ISBN 0-7167-
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