Answered: For each residual plot below, determine…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

1. appropriate

not appropriate, fails constant variance assumption

not appropriate, fails mean of zero assumption

2. appropriate

not appropriate,fails independence assumption

not appropriate, fails mean of zero assumption

3. appropriate

not appropriate, fails constant variance assumption

not appropriate, fails independence assumption

For each residual plot below, determine whether a linear model is appropriate, and if not, why not.
Residuals
Pick
200
150
100
50
0
-50
-100
-150
0
20000
X
Residuals
Pick
60000
●
25
20
15
10
-10
-15
-20
-25
60000
500
Pick
20
15
10
X
-5
-10
-15
1000 1500 2000
2500 3000
20
●
●●●
X
%
:
●
30
40
2

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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