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
OLEGan [10]
3 years ago
13

Determine the quadratic regression for the data.

Mathematics
2 answers:
Komok [63]3 years ago
7 0

{ solution is attached below}

Karo-lina-s [1.5K]3 years ago
5 0

Answer:

y = 0.27\cdot x^{2} - 2.44\cdot x + 7.49

Step-by-step explanation: The quadratic regression is given by :

y = a\cdot x^{2} +b\cdot x + c

In order to get the quadratic regression equation we need to simplify :

a\cdot \sum {x_i}^{4}+b\cdot \sum {x_i}^{3}+c\cdot \sum {x_i}^{2}=\sum {x_{i}}^{2}\cdot y_{i}\\a\cdot \sum {x_i}^{3}+b\cdot \sum {x_i}^{2}+c\cdot \sum {x_i}=\sum {x_{i}}\cdot y_{i}\\a\cdot \sum {x_i}^{2}+b\cdot \sum {x_i}+c\cdot {n_i}=\sum y_{i}

⇒

3364\cdot a+560\cdot b+100\cdot c=303\\560\cdot a +100\cdot b+20\cdot c=59\\100\cdot a +20\cdot b +5\cdot c=16

On solving this system of equation, we get a = 0.27 , b = - 2.44 , c = 7.49

Hence, the required quadratic regression is y = 0.27\cdot x^{2} - 2.44\cdot x + 7.49



You might be interested in
Does anyone know how to solve the second half of this question?
Masja [62]

Answer:

see explanation

Step-by-step explanation:

given

f'(x) = 12cos x - 4sin x, then

f'(\frac{4\pi }{3}) = 12cos(\frac{4\pi }{3}) - 4sin(\frac{4\pi }{3})

[ cos(\frac{4\pi }{3}) = -cos(\frac{\pi }{3}), sin(\frac{4\pi }{3} = - sin(\frac{\pi }{3}) ]

= -12cos(\frac{\pi }{3}) + 4sin(\frac{\pi }{3})

= - 12 × \frac{1}{2} + 4 × \frac{\sqrt{3} }{2}

= - 6 + 2\sqrt{3} ≈ - 2.536 ( 3 dec. places )

6 0
3 years ago
The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is _____
GREYUIT [131]
Can you add the picture ?? If you don’t mind?? It helps me Answer better
8 0
2 years ago
What is (7z-5)-(3x-2) equivalent to ?
Tresset [83]

Answer:

7z -3x -3 is the solution to the equation

Step-by-step explanation:

7z -5 -3x +2

7z -3x -5+2

7z -3x -3

6 0
2 years ago
A new restaurant with 134 seats is being planned. Studies show that 62​% of the customers demand a​ smoke-free area. How many se
zzz [600]

Answer: 100

Step-by-step explanation:

Given : The total number of seats planned in new restaurant =134

The percentage of customers demand a​ smoke-free area = 62%

It can also be written as 62\%=\dfrac{62}{100}=0.62

The mean of this binomial distribution will be :-

\mu=np\\\\\mu=(134)(0.62)=83.08

Standard deviation:-

\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{134(0.62)(0.38)}\approx5.6

Now, the number of seats should be in the​ non-smoking area in order to be very sure ​of having enough seating​ there :-

\mu+3\sigma=83.08+3(5.6)=99.88\approx100

4 0
3 years ago
If i get 20 dollars per 5 minutes for 10 hours how many dollars will i make
rewona [7]

Answer:

2400 dollars

Step-by-step explanation:

600 minutes in 10 hours

600/5 = 120

120*20 = 2400 dollars

4 0
3 years ago
Other questions:
  • What does (-7)^2 eaqual??
    10·1 answer
  • I need help for #2 please
    7·1 answer
  • Add the fractions and simplify the answer 1/2 +2 /3
    12·2 answers
  • The perimeter of a square is 28 cm . What is the area
    10·1 answer
  • Write a whole number that is greater than 10910099999
    10·2 answers
  • What is the area of a regular hexagon with a side length of 12 cm?
    5·1 answer
  • The temperature on a Christmas morning was -7 degrees celsius. Three hours later the temperature dropped 5 degrees. Then by noon
    11·1 answer
  • 100 POINTS AND MARKED AS BRAINLIEST IF YOU ANSWER THIS AND SHOW YOUR WORK
    14·2 answers
  • Two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Use what you determ
    11·1 answer
  • 1. A small garden has a perimeter of 24 1/4 ft. If the lengths is 8 ft, what is the area of the garden.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!