Answered: Statistical Analysis - Data Management…

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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Question

Statistical Analysis - Data Management

For the following graph, answer the following:

mean, median, mode for the central tendency; st. deviation, variance, range, IQR, Quartiles for a spread of data; Equation of LOBF/ COBF, r, R^2 for characteristics of a trend model and how well it suits a set of data; cause-and-effect relations from scatter plots.
Include the equation for the line/curve of best fit. You can analyze different models: linear, quadratic, exponential, polynomial, etc.

Example:

You have a scatter plot of an hourly wages vs level of education, the trend is represented by a cubic curve with R^2=0.999. It can mean that the relationship of the level of education vs the hourly wages has a cubic trend as the cubic model suits well the set of data (R^2 is very close to 1).

1000
900
800
700
600
500
400
300
200
100
0
12 to 19
Male Hospitalizations
0 to 4
Number of Hospitalization by Gender
20 to 39
40 to 59
5 to 11
Female Hospitalizations
Total Hospitalizations Count
60 to 79
All ages
80
Unknown Sex Hospitalizations

Period
recent COVID-19 cases
recent COVID-19 cases
recent COVID-19 cases
recent COVID-19 cases
recent COVID-19 cases
recent COVID-19 cases
recent COVID-19 cases
recent COVID-19 cases
Age group
0 to 4
12 to 19
20 to 39
40 to 59
5 to 11
60 to 79
All ages
80
Female
Male
Hospitalization Hospitalizati Hospitalizatio
S
ons
23
20
3
3
23
26
47
48
5
2
172
150
183
183
456
432
Total Unknown
Sex
ns Count Hospitalizati
ons
43
0
6
49
95
7
324
367
891
DOOOON C
0
0
0
0
2
1
3

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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