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
exis [7]
3 years ago
15

Which equation of the least squares regression line most closely matches the data set?

Mathematics
2 answers:
Rudiy273 years ago
4 0

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x             0                  2                4               6                8

y             45                51               57            61               75

Let the equation that shows the above data,

y = b + a x ---------(1)

\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}

\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}

By the above table,

\sum x = 20

\sum xy = 1296

\sum x^2 = 120

\sum y = 289

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

TiliK225 [7]3 years ago
4 0

Answer:

y = 3.5 x+ 43.8

Step-by-step explanation:

Verified correct with a K12 test.

You might be interested in
the perimeter of an equilateral triangle is 39 centimeters. What is the length of an altitude of the triangle ?​
victus00 [196]

Answer: h = 11.26cm

Step-by-step explanation:

Equilateral triangle has equal sides, let the side be xcm , then the perimeter is 3x

Therefore:

3x = 39

x = 39/3

x = 13cm

To find the altitude , we will apply Pythagoras theorem , that is

13^{2}=h^{2}+6.5^{2}

Therefore:

h^{2}=13^{2}-6.5^{2}

h^{2}=169-42.25

h^{2}=126.75

take the square root of both sides

h = 11.26cm

8 0
3 years ago
What is 61,734 divided by 46
lana66690 [7]

Answer:

1,342.04 ..............

4 0
2 years ago
Read 2 more answers
ILL BRAINLIEST YOU PLEASE HELP ME
VARVARA [1.3K]

Answer:

I am so sorry, I have never done that type of math before.

Step-by-step explanation:

3 0
3 years ago
The length of a rectangle is three times its width. The perimeter of the rectangle is at most 112cm. Which inequality models the
miss Akunina [59]

Answer: w ≤ 14 cm , L ≤ 42 cm

<u>Step-by-step explanation:</u>

width (w): w

Length(L): 3w

Perimeter (P) = 2w + 2L

P ≤ 112

 2w +   2L   ≤ 112

2(w) + 2(3w) ≤ 112

 2w +   6w   ≤ 112

       8w        ≤ 112

         w        ≤ 14

8 0
3 years ago
Based on a​ poll, among adults who regret getting​ tattoos, 12​% say that they were too young when they got their tattoos. Assum
Tema [17]

Answer:

a.  0.6588

b. 0.3978

c. 0. 279

Step-by-step explanation:

In the given question the success and failure are given the number of outcomes is fixed so binomial distribution can be applied.

Here success=  p = 12 % or 12/100 = 0.12

failure = q= 1-p = 1-0.12 = 0.88

n= 10

Using binomial probability distribution

a. Probability that the number of selected adults saying they were too young is 0 or 1 is calculated as:

P (x=0,1) = 0.12 ⁰(0.88)¹⁰10 C0  + 0.12 (0.88)⁹ 10 C1=  1* 0.279 * 1  + 0.12 ( 0.3165) 10 =  0. 279 + 0.3978=  0.6588

b. Probability that exactly one of the selected adults says that he or she was too young to get tattoos is calculated as

P (x=1) =  0.12 (0.88)⁹ 10 C1=  0.12 ( 0.3165) 10 =  0.3978

c. Probability that none of the selected adults say that they were too young to get tattoos is

P (x=0) = 0.12 ⁰(0.88)¹⁰10 C0  =  1* 0.279 * 1   =  0. 279

4 0
3 years ago
Other questions:
  • What is the remainder obtained by dividing x7 x5 1 by the generator polynomial x3 1?
    15·2 answers
  • How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?
    8·1 answer
  • Can someone please help me with this question? Thank you!
    5·1 answer
  • Simplify the following expression. one-fourth(16 – 12x)
    13·1 answer
  • The area of the figure below is 9 ft. What is the<br>height of the triangle?​
    13·2 answers
  • 1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probabilit
    9·1 answer
  • Distribute then combine like terms : 0.2(3b-15c)<br>​
    5·2 answers
  • 0.18 divided by 0.04
    9·2 answers
  • Which of the following lines has a negative slope?
    14·2 answers
  • Ms. Jerome wants to buy identical boxes of art supplies for her 25
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!