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4 years ago

Prove why the line of linear regression always passes through the coordinate pair (mean of x values, mean of y values).

1 answer:

6 0

Linear regression is a technique which consolidates a group of data points into a linear correlation considering the deviation of the points. In this case, we can manipulate the labels of x and y axis to create a linear correlation. The line is always dependent on the mean and the standard deviation so it is expected to pass through the mean,

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Determine the equivalent system for the given system of equations:

tatiyna

Answer:

C is the only one equivalent

Step-by-step explanation:

A. 5x − 3y = 6

6x − 2y = 8

Resolving the orginial system and this system we have

5x − 3y = 6 → 5x − 3y = 6 → -8y = - 4 → y=2 → x=0

(-5)(x + y = 2) -5x -5y = -10

A. 5x − 3y = 6 → 5x − 3y = 6 → -4x = -6 → x=3 → y=3

( -3/2)(6x − 2y = 8) - 9x + 3y = -12

A is not an equivalent system because the 2nd eq of each one have a different solution

B. 5x − 3y = 6

2x + 2y = 2

Resolving the orginial system and this system we have

5x − 3y = 6 → 5x − 3y = 6 → -8y = - 4 → y=2 → x=0

(-5)(x + y = 2) -5x -5y = -10

B 5x − 3y = 6 → 5x − 3y = 6 → 8x = 9 → x=9/8→ y= -1/8

(3/2)(2x + 2y = 2) 3x + 3y = 3

B is not an equivalent system because the 2nd eq of each one have a different solution

C. −5x − 3y = 6

x + y = 2

C is the same system of the original

D. 5x − 3y = 6

6x − 2y = 2

Resolving the orginial system and this system we have

5x − 3y = 6 → 5x − 3y = 6 → -8y = - 4 → y=2 → x=0

(-5)(x + y = 2) -5x -5y = -10

D 5x − 3y = 6 → 5x − 3y = 6 → 2x = 2 → x=1→ y= - 1/3

(-3/2)(6x − 2y = 2) - 3x + 3y = -3

D is not an equivalent system because the 2nd eq of each one have a different solution

6 0

3 years ago

Read 2 more answers

How many 2/3 go into 4

ziro4ka [17]

Answer:

2/3,4/3.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Katherine has 32 pop songs and 72 rock songs on her mp3 player that she will be organizing into playlists. She wants to put an e

Crazy boy [7]

32
+72
104

104 divided by 2 is 52 start off there

4 0

3 years ago

Please can someone help my assignment in math, please I need to pass it.

meriva

9514 1404 393

Answer:

Trapezoid Median Theorem

Step-by-step explanation:

The Trapezoid Median Theorem says ...

The median of a trapezoid is parallel to each base and the length of the median equals one-half the sum of the lengths of the two bases.

That's the theorem that would seem to be applicable here.

6 0

3 years ago

Can someone help me please.... with number 6,7,8,9

Alenkasestr [34]

Answer :

6. x=28

7.x =6

8. x =9

9. x =9

Step-by-step explanation:

$\frac{x + 2}{10} = 3$

$x + 2 = 3 \times 10 \\ x + 2 = 30 \\ x = 30 - 2 \\ x = 28$

(x+2)/10 = 3

Cross multiply

x+2 = 10 ×3

x+2 =30

Collect like terms and simplify

x =30-2

x = 28

$8x + 9 - 5x = 27 \\ 8x - 5x = 27 - 9 \\ 3x = 18$

$\frac{3x}{3} = \frac{18}{3} \\x = 6$

8x +9 -5x= 27

Collect like terms and simplify

8x-5x =27-9

3x =18

Divide both sides of the equation by 3

3x/3 = 18/3

x = 6

10x+8=8x+26

Collect like terms

10x-8x=26-8

2x = 18

Divide both sides of the equation by 2

2x/2 = 18/2

x = 9

2(x-5)+4x=x+35

Use 2 to open the bracket

2 × x =2x

2×(-5) =-10

2x-10+4x =x+35

Collect like terms and simplify

2x+4x-x = 35+10

5x = 45

Divide both sides of the equation by 5

5x/5 = 45/5

x =9

7 0

4 years ago