1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dimulka [17.4K]
3 years ago
7

Consider a set of one-dimensional points: 6, 12, 18, 24, 30, 42, 48.

Mathematics
1 answer:
Vinvika [58]3 years ago
6 0

Answer:

1) With initial centroids 10-40, final clusters are

first cluster (6,12,18,24,30)

second cluster (42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 378

2) With initial centroids 10-20, final clusters are

first cluster (6,12,18,24)  

second cluster (30,42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 348

Step-by-step explanation:

K-means works as follows

  • the points will be clustered according to their distance to the centroids.
  • Then centroids are updated as the cluster means.
  • This process continues until clusters doesn't change anymore

1)  <u><em>initial centroids</em></u> 10-40

first cluster (6,12,18,24)  mean:15

second cluster (30,42,48) mean:40

<u><em>new centroids</em></u> 15-40

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

<u><em>final centroids</em></u> 18-45

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

Sum of Squared errors = (18-6)^{2}+(18-12)^{2}+(18-18)^{2}+(18-24)^{2}+(18-30)^{2}+(45-42)^{2}+(45-48)^{2}=378

2)<u><em>initial centroids</em></u> 10-20

first cluster (6,12)  mean:9

second cluster (18,24,30,42,48)  mean:32.4

<u><em>new centroids</em></u> 9-32.4

first cluster (6,12,18) mean:12

second cluster (24,30,42,48) mean:36

<u><em>new centroids</em></u> 12-36

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

<u><em>final centroids</em></u> 15-40

first cluster (6,12,18,24) mean:15  

second cluster (30,42,48) mean:40

Sum of Squared errors = (15-6)^{2}+(15-12)^{2}+(15-18)^{2}+(15-24)^{2}+(40-30)^{2}+(40-42)^{2}+(40-48)^{2}=348

You might be interested in
HELPP RUNNING OUT OF TIME
Semenov [28]
6^{3}=216

Therefore answer is B.

6^{0}=1
6^{1}=6
6^{2}=36
6^{4}=1296
3 0
3 years ago
Read 2 more answers
Find the value of h(-7) for the function below.
vovikov84 [41]

Answer:

  B.  138.7

Step-by-step explanation:

Put the given number where the variable is and do the arithmetic.

  h(x) = 5.7 -19x

  h(-7) = 5.7 -19(-7) = 5.7 +133 = 138.7

6 0
3 years ago
Read 2 more answers
Write down the characteristics of culture translate into nepali language​
Tatiana [17]

Answer:

can you explain more freely about question I did not understand sorry for comments in answet

6 0
3 years ago
A function of the form f(x)=mc+b, where m and b are real numbers is called a ____ function ?
FrozenT [24]
You mean f(x) = my+ b
This is called slope
7 0
3 years ago
Consider the formula for the slope between two coordinates
krek1111 [17]

The following equations is equivalent to the slope formula is A) y₂= m(x₂-x₁) + y₁.

<h3>What is slope?</h3>

The angle of inclination of a line with respect to the horizontal is quantified. In analytical geometry, a line, ray, or line segment's slope is the proportion of the vertical to the horizontal distance between any two points ("slope equals rise over run").

<h3>What is equation?</h3>

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. We discover that the variable x has a value of 7 after solving this equation.

Given that,

Take a look at the formula below for the slope between two coordinate locations, m.

m = \frac{y_{2}- y_{1} }{x_{2}-x_{1}  }

Here, slope is

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Where m is the slope and y₁ and y₂ and x₁ and x₂ are coordinates of the axis.

The first step is to multiply x₂-x₁ on both sides in order to acquire y₂ on its own.

so you must add y₁ to both sides in order to get y₂ alone.

m(x₂-x₁) +y₁ = y₂.

Therefore, the following equations is equivalent to the slope formula is A) y₂ = m(x₂-x₁) + y₁.

To know more about the slope, visit:

brainly.com/question/16508963

#SPJ9

5 0
1 year ago
Other questions:
  • John takes one step every second, and each step is 33 inches long. How many miles per hour is John walking, given that 5280 feet
    15·1 answer
  • The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and
    15·2 answers
  • Help me please what is the answer for this
    14·1 answer
  • Using the vertical line test, determine if the graph above shows a relation, a function, both a relation and a function, or neit
    14·2 answers
  • The table show the relationship of how many pounds of cherries are needed to make a certain number of pies: pies 6 12 18 cherrie
    14·1 answer
  • URGENT PLEASE ANSWER WILL GIVE BRAINLY
    8·1 answer
  • A ladder 15 metres long leans against a vertical wall so that the top of the ladder is 12 metres above the ground. What angle do
    13·1 answer
  • I need the answers ASAP •_•
    10·1 answer
  • Convince Me! why are there two possible solutions is valid in this situation.
    11·2 answers
  • Which of the following is a linear function? (89 POINTS)HURRY PLSSSSS
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!