COSC 130 - Homework 02

Kyle Anderson

Problem 1: Altering Lists

employees = ["Beth", "Drew", "Alex", "Chad"]
years = [15, 8, 5, 2]

employees.insert(1, "Gina")
years.insert(1, 12)

employees.insert(4, "Herb")
years.insert(4, 3)

employees.insert(8, "Iris")
years.insert(8, 0)

employees.insert(3, "Emma")
years.insert(3, 6)

print(employees)
print(years)

Problem 2: Sorting and Slicing Lists

import random
random.seed(12)
random_list = random.sample(range(500), 99)

print(f"Length of random_list: {len(random_list)}")
print(f"First 10 elements of random_list: {random_list[:10]}")

print(f"The sum of the elements in random list is {sum(random_list)}")

sorted_list = random_list
sorted_list.sort()

print(f"First 10 elements of sorted_list: {sorted_list[:10]}")
print(f"First 10 elements of random_list: {random_list[:10]}")

bot_slice = sorted_list[:33]
mid_slice = sorted_list[33:67]
top_slice = sorted_list[67:]

print(f"The smallest element of bot_slice is {min(bot_slice)}")
print(f"The largest element of bot_slice is {max(bot_slice)}")
print()
print(f"The smallest element of mid_slice is {min(mid_slice)}")
print(f"The largest element of mid_slice is {max(mid_slice)}")
print()
print(f"The smallest element of top_slice is {min(top_slice)}")
print(f"The largest element of top_slice is {max(top_slice)}")

Problem 3: Magnitude of a Vector

vector = [11, 6, -8, 4, -13, 3]
total = 0
for i in range(len(vector)):
    total += vector[i] * vector[i]
mag_v = total ** 0.5
print("magnitude of vector = %.4f" % mag_v)

unit_vector = [0] * len(vector)
for i in range(len(vector)):
    val = vector[i] / mag_v
    unit_vector[i] = val

rounded_unit_vector = [0] * len(vector)
for i in range(len(vector)):
    rounded_unit_vector[i] = float("{:.4f}".format(unit_vector[i]))
print("rounded_unit_vector: ", rounded_unit_vector)

total = 0
for i in range(len(unit_vector)):
    total += unit_vector[i] * unit_vector[i]
mag_u = total ** 0.5
print("magnitude of unit vector = %f" % mag_u)

Problem 4: Fibonacci Sequence

fib = [0, 1]

for i in range(28):
    x = fib[-1] + fib[-2]
    fib.append(x)

print(fib)

Problem 5: Printing a Table

first = ["Anna","Beatrice","Charles","David","Emma"]
last = ["Anderson","Brown","Clark","Daniels","Edwards"]
major = ["Mathematics","Data Science","Biology","Chemistry","Computer Science"]
credits = [110,83,64,35,104]
gpa = [3.56,3.24,3.87,2.83,3.61]

print("{0:10}{1:10}{2:16}{3:>10}{4:>10}".format("First","Last","Major","Credits","GPA"))
print('-' * 56)
for index in range(len(first)):
    print("{0:10}{1:10}{2:16}{3:>10}{4:>10.2f}".format(first[index], last[index], major[index], credits[index], gpa[index]))

Problem 6: Calculating Sum of Squared Errors

length = [22.7, 22.4, 25.8, 21.3, 20.1, 22.1, 21.1, 25.3, 26.9, 26.9, 23.0, 23.8, 26.2, 20.4, 23.0, 21.9, 23.5, 27.8, 25.3, 25.9]
weight = [9.2, 8.8, 10.7, 8.3, 6.2, 8.6, 7.2, 11.2, 10.5, 11.3, 9.6, 9.9, 10.9, 5.9, 9.5, 9.1, 9.7, 11.6, 10.2, 10.5]
pred_weight = []
SSE = 0
for i in range(20):
    pred_weight.append(0.6 * length[i] - 5.2)
    diff = weight[i] - pred_weight[i]
    SSE += diff **2

print(pred_weight)
print("Sum of Squared Errors(SSE)= %.4f" %SSE)

Problem 7: Determining Monthly Payments

import math

i = 0.4
n = 360
start = 100000
increment = 10000
for k in range(start,200001,increment):
    L = k
    PMT = round((L*i)/(1- math.pow(1+i,-n)),2)

print('A loan of ${} would require monthly payments of ${}'.format(L,PMT))

Problem 8: Adding Matrices

A = []
B = []

A.append([13,43, 28,22,41])
A.append([17,39,46,16,21])
A.append([41,34,31,25,14])

B.append([35,29,43,21,31])
B.append([48,26,19,17,23])
B.append([32,34,24,16,27])


AplusB = []

for row in range(3):
    temp = []
    for col in range(5):
        temp.append(A[row][col]+B[row][col])
    AplusB.append(temp)

print("A")
for row in range(3):
    print(A[row])

print("B")
for row in range(3):
    print(B[row])

print("AplusB")
for row in range(3):
    print(AplusB[row])