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
madam [21]
2 years ago
8

Please! Due soon

Mathematics
1 answer:
Ivenika [448]2 years ago
4 0

Answer:So, the least squares regression equation is : y= mx+b ⇒ y= 6.33x +38.71

b. When x= 8, then y= (6.33×8)+38.71 = 50.64 + 38.71 =89.35

The approximate test score of a student who sleeps an average of 8 h a night is 89.35%

Step-by-step explanation:

hey someone else has already answered this!

a. To find the least squares regression equation for a group of (x,y) points:

Step 1: For each point(x,y), we need to calculate x² and xy first.

Step 2: Sum all x, y, x² and xy, which gives us Σx, Σy, Σx² and Σxy

Step 3: Calculate Slope m: m = (NΣxy − Σx Σy)/ N(Σx²) − (Σx)² , here N is the number of data.

Step 4: Calculate Intercept b: b = Σy − m(Σx)/ N

Step 5: Assemble the equation as y= mx+b

Here, we have ∑x = 120, ∑y= 1379, ∑x²= 919.5, ∑xy= 10466 and N= 16

So, m= (NΣxy − Σx Σy)/ N(Σx²) − (Σx)²

=

=

=  

= 6.33

and b = Σy − m(Σx)/ N

=

=

=

= 38.71

So, the least squares regression equation is : y= mx+b ⇒ y= 6.33x +38.71

b. When x= 8, then y= (6.33×8)+38.71 = 50.64 + 38.71 =89.35

The approximate test score of a student who sleeps an average of 8 h a night is 89.35%

EVERYTHING IS FROM sicista on brainly!

You might be interested in
The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of t
BlackZzzverrR [31]
3:5 = 64cm
3x+5x= 64
8x=64
x=8

Therefore,

3x=8×3
=24

5x=8×5
=40

3x+5x=64cm
3 0
3 years ago
The distance from Earth to the moon is about 4*10 fifth power kilometers. The distance from Earth to Mars is about 5*10 the seve
uysha [10]

Answer: distance from earth to moon is 4x10^5= 4,000,000

The distance from Earth to Mars is about 5x10^7= 50,000,000.

Step-by-step explanation:

8 0
3 years ago
For each system of equations, drag the true statement about its solution set to the box under the system?
natta225 [31]

Answer:

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- The system of equation has zero number of solution if the coefficients

 of x and y are the same and the numerical terms are different

- The system of equation has infinity many solutions if the

   coefficients of x and y are the same and the numerical terms

   are the same

- The system of equation has one solution if at least one of the

  coefficient of x and y are different

* Lets solve the problem

∵ y = 4x + 2 ⇒ (1)

∵ y = 2(2x - 1) ⇒ (2)

- Lets simplify equation (2) by multiplying the bracket by 2

∴ y = 4x - 2

- The two equations have same coefficient of y and x and different

  numerical terms

∴ They have zero equation

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

∵ y = 3x - 4 ⇒ (1)

∵ y = 2x + 2 ⇒ (2)

- The coefficients of x and y are different, then there is one solution

- Equate equations (1) and (2)

∴ 3x - 4 = 2x + 2

- Subtract 2x from both sides

∴ x - 4 = 2

- Add 4 to both sides

∴ x = 6

- Substitute the value of x in equation (1) or (2) to find y

∴ y = 2(6) + 2

∴ y = 12 + 2 = 14

∴ y = 14

∴ The solution is (6 , 14)

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

3 0
3 years ago
Write y - 8 = - 7(x + 2) in standard form.
Natasha2012 [34]

Answer: 7x+y=-6

Step-by-step explanation: Hope <em> I helped</em>

5 0
2 years ago
Read 2 more answers
4+(x+y)=(4+ )+y please answer I need it now
Schach [20]

x=0

4+(x+y)=(4+)+y

4 + x + y = 4 + y

Subtract y from both sides

4 + x + y - y = 4 + y - y

Simplify

4 + x = 4

Subtract 4 from both sides

4 + x - 4 = 4 - 4

Simplify

x = 0

4 0
3 years ago
Other questions:
  • PLEASE HELP WILL MARK BRAINLIEST AND 100 POINTS
    5·2 answers
  • Harper wrote the expression 15-6+7 to represent "15 minus the sum of 6 and 7". Evaluate 15 - 6 + 7 and then exposing why Harper'
    5·1 answer
  • What are the factors of the expression (y-2(x+3
    7·1 answer
  • In a sport competition Alyssa was penalized -16 points in each of the 4 events how many points was she penalized in each event?
    10·1 answer
  • Is 5/12 greater than 3/4
    14·2 answers
  • Solve for x:<br> ​2 1/4 + x = 9 1/ 8
    6·1 answer
  • What is the length of a football
    12·2 answers
  • What would be the u to usub and what would be the steps to solving this integral?
    6·1 answer
  • Marissa knows that she needs $35,000 for a down payment on a house. She found an investment that earns 3.25% interest compoundin
    10·1 answer
  • Help!! Please photo art attached below
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!