Matlab

Create an m-file script that does the following. Begin the file with a comment at the
top of the script. Each problem should be done in section. You will also create two
m-file functions and a txt file will be generated as an output. Upload all these files
and a published pdf of the script to the drop box.
1. First construct a function called bisect that approximates the root location
following the bisection algorithm described on slide 4. Next, UAH has 8000
students, one student returns from Spring break with a contagious flu virus. The
spread of the virus, I, is given by:
Where I is the total number of students infected after t days. The college will
cancel classes when 50% or more of the students are infected. After how many
days will the college cancel classes?
a. Compute an approximation for this value using the bisect function.
b. Compute an approximation for this value using the fzero function.
2. Hooke’s law states that the force needed to displace a spring from equilibrium is
linearly proportional to the displacement. A student set up an experiment for a
spring and recorded the displacement and saved this in a csv file called
spring.csv (this file is in the Canvas assignment). The first column refers to the
measured displacement (note negative means compression) and the second
column refers to the measured force.
a. Find the two coefficients for a linear regression fit. (Be sure to show these
values!)
b. Determine the correlation coefficient.
c. On a plot show both the data (symbols) and the “best” fit line. Include a
legend. The line should be plotted for -5 = x = 7.
2
t
e
I
0.6
1 6999
8000
?
?
?
3. Read in the data from the file fifth.csv (again found in the Canvas assignment).
It is proposed that a fifth-order polynomial fits the data. The first column
represents the independent data and the second column represents the
dependent data.
a. Find the coefficients for the polynomial that fits this data.
b. On a plot show both the data (symbols) and the “best” 5rh order
polynomial. Include a legend. The line should be plotted for -5 = x = 5.
4. Construct an m-file function mom that follows the flow diagram for the
algorithm shown on slide 5. Notice that the output is given not to the screen but
into a file called output.txt and also has a given structure (see slide 6). In your
script call this function with the following inputs:
x = [1 3 2 5 3 3 7 4 3 4 5 8 2]
r = 4
name = ‘Your name here’
(Hint: for the average simply use the mean(x) that is in
MATLAB already)

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