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
Marina86 [1]
3 years ago
15

This set of ordered pairs shows a relationship between x and y. {(0, -2), (3, 7), (6, 16), (6, 15), (8, 21), (10, 28), (11,31)}

Using the line of best fit, which is closest to the output when the input is 5?
Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

The closest to the output when the input is approximately 12

Step-by-step explanation:

The given (x, y) coordinates are;

The line of best fit is

x, 0, 3, 6, 6, 8, 10, 11

y, -2, 7, 16, 15, 21, 28, 31

The line of best fit can be obtained from the scatter plot of the given data from where a linear pattern is apparent

A linear line of best fit is a trend line that gives an overall cumulative minimum distance of all the points from the line

The method for constructing a line of best fit includes;

1) The least Squares Method

2) The method of linear regression

3) Construction of line of best fit

a) The area method

b) The dividing method

The least squares equation is given as follows;

\hat y = a + b·x

b = \dfrac{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma (x_i - \overline x)^2 }

From MS Excel, we have;

{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{ } = 266.8571

{\Sigma (x_i - \overline x)^2 } = 89.42857

∴ b = 266.8571/89.42857 ≈ 2.984

a =\overline y- b \cdot \overline x

From MS Excel, with the given data, we get;

\overline y = 16.57143

\overline x = 6.285714

Therefore;

a = 16.57143 - 2.984 × 6.285714 = -2.185

Therefore, we get the following regression equation;

\hat y = -2.185 + 2.9·x

Where;

x = The input

\hat y = The output

Therefore, when x = 5, we get;

\hat y = -2.185 + 2.9 × 5 = 12.315

Therefore, the closest to the output when the input is 5, y ≈ 12

You might be interested in
Anybody please help me with this.... I have a very important grade relying on this
Anon25 [30]
Five is 11 and negative 11 because double negative equals a positive
3 0
3 years ago
Read 2 more answers
It costs $4.50 per person for 2 people and $3.00 per person for 3 people to go on a horse carriage ride. Using c to represent th
Ilia_Sergeevich [38]

b

a and d should not be considered bc it is not logically correct. c is eliminated because that may not always be the case. therefore it should be b.

7 0
3 years ago
F(x) =2x-5 and g(x) =x+52 find f(g(x)
irga5000 [103]
If f(x) = 2x - 5 and g(x) = x + 52, then f(g(x)) can be deduced by placing g(x) in the spot of x in the f(x) equation as follows:

f(g(x)) = 2(g(x)) - 5

Since we know g(x) = x + 52, let's plug it in:

f(g(x)) = 2(x + 52) - 5
f(g(x)) = 2x + 104 - 5
f(g(x)) = 2x + 99
4 0
3 years ago
Read 2 more answers
I know the answer I got is wrong help.
irinina [24]

Answer:

∠2 = 18°

Step-by-step explanation:

∠WXZ = ∠1 + ∠2 ← substitute ∠1 = 3∠2

∠WXZ = 3∠2 + ∠2, that is

72 = 4∠2 ( divide both sides by 4 )

18 = ∠2, that is

∠2 = 18°

   

8 0
3 years ago
What is the value of x?
tankabanditka [31]
X + 58 = 6
x = 6 - 58
x = - 52
3 0
2 years ago
Read 2 more answers
Other questions:
  • 0.07 is 1/10 of what
    6·2 answers
  • Sid needs 0.70.7 meters of canvas material to make a​ carry-all bag for his wheelchair. if canvas is ​$10.6910.69 per​ meter, ho
    8·1 answer
  • -16b+32 can somebody help me factor this polynomial?
    7·1 answer
  • Someone help me pleaseeeee
    14·1 answer
  • Please help me now ​
    9·1 answer
  • Round 17 21/30 to the nearest whole number
    15·1 answer
  • PLEASE HELP!!!! Geometry is so hard and this is due tonight :(
    9·2 answers
  • Hep me hep me pls mabye next week
    11·2 answers
  • SOLVEDDDDDDDDDDDDDDDD!!!!
    8·1 answer
  • Doesn’t anyone know the answer to this
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!