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
mafiozo [28]
3 years ago
13

Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?

What is the intercept?

Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

The function is y~=~12 ~-~ 0.5 \cdot x.

The slope is m=-0.5.

The y-intercept is b=12.

Step-by-step explanation:

Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

y=mx+b

We have the following data:

\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}

To find the line of best fit for the points given, you must:

Step 1: Find X\cdot Yand X\cdot X as it was done in the table below.

Step 2: Find the sum of every column:

\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

\begin{aligned}        b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}

The graph of the regression line is:

You might be interested in
I NEED HELP PLEASE :(
Licemer1 [7]
The SA is correct but volume is off. 4/3 times pi times radius cubed is 904.7787. When making your ratio you would divide the SA by the volume to get a ratio that is about 1 to 2.
5 0
3 years ago
Layers of eye and their functions ?​
Vedmedyk [2.9K]

Answer:

The eye is made up of three layers: the outer layer called the fibrous tunic, which consists of the sclera and the cornea; the middle layer responsible for nourishment, called the vascular tunic, which consists of the iris, the choroid, and the ciliary body; and the inner layer of photoreceptors and neurons called the nervous tunic, which consists of the retina.

5 0
3 years ago
Read 2 more answers
Help me pleaseee!!<br> Would appreciate ^^<br> **BRAINLIST, thanks and points***
sergey [27]

Answer:

See below

Step-by-step explanation:

22. 30 = 2 * 3 * 5

23. 126 = 2 * 3 * 3 * 7

24. 4900 = 2 * 2 * 5 * 5 * 7 * 7

25. 39204 = 2 * 2 * 3 * 3 * 3 * 3 * 11 * 11

26. There's no square number

27. The highest common factor are

   30 is 5

   126 is 7

  4900 is 7

 39204 is 11

28. The lowest common factor are

 30 is 2

 126 is 2

 4900 is 2

 39204 is 2

What about you? What did you get?

4 0
3 years ago
Hector keep close tabs on his bank account. His account had a balance of -$22.80. The next day, he made a deposit of $56.60. His
valentina_108 [34]
If you add 22.80 by the deposit which is 56.60 you will get 79.04
The answer is : 79.04
5 0
3 years ago
Read 2 more answers
72÷6374<br><img src="https://tex.z-dn.net/?f=72%20%5Cdiv%206374" id="TexFormula1" title="72 \div 6374" alt="72 \div 6374" align=
Ivan
72 divided by 6374 is equal to 0.0113

Hope it helps :)
6 0
3 years ago
Other questions:
  • Find the perimeter and area of the polygon with the given vertices W(5,-1), X (5, 6), Y (2, -1), Z (2,6)
    15·1 answer
  • Which one is an example of?
    14·1 answer
  • The mean value of land and buildings per acre from a sample of farms is ​$1500​, with a standard deviation of ​$200. the data se
    6·1 answer
  • 2+4 x 2 = what is the answer
    12·1 answer
  • Which expression is equivalent to -19-11?
    14·2 answers
  • I don’t know this answer help
    6·2 answers
  • To construct a parallel line through a point not on the line using paperfolding you can perform the ___ construction twice
    5·2 answers
  • At the gift shop they sell small grettong card and large greeting cards. The cost of small ones are 1.80 and the cost of large o
    14·1 answer
  • What is the midpoint of the segment shown below?
    12·1 answer
  • PLS ANSWER AND I WILL MARK AS BRAINLIST
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!