For the following data, find the correlation coefficient. Does the line of best fit have positive correlation, negative correlation, or no correlation?

X 4 2 8 3 4 8 5 1 2
y 3 6 7 8 9 1 2 3 5

Answers

Answer 1

The correlation coefficient of the given set of data is −0.17 which is negative correlation.

What is correlation coefficient?

A correlation coefficient is a metric that expresses a correlation of some kind, or a statistical association between two variables. The variables could be two columns of a specific data set of observations, also known as a sample, or two parts of a multivariate random variable with a well-known distribution.

∑x = 4+2+8+3+4+8+5+1+2

∑x = 37

∑y = 3+6+7+8+9+1+2+3+5

∑y = 44

n = 9

[tex]$ \bar{\text x} = \frac{\Sigma \text x}{n} = \frac{37}{9} = 4.1[/tex]

[tex]$ \bar{\text y} = \frac{\Sigma \text y}{n} = \frac{44}{9} = 4. 8[/tex]

x - [tex]\bar{\text x}[/tex]        y - [tex]\bar{\text y}[/tex]      [tex](\text x -\bar{\text x} ) ( \text y - \bar{\text y} )[/tex]  

−0.1        −1.8            0.18

−2.1         1.2            −2.52

3.9          2.2             8.58

−1.1          3.2            −3.52

−0.1         4.2             −0.42

3.9          −3.8           −14.82

0.9          −2.8          −2.52

−3.1         −1.8             5.58

−2.1         0.2             −0.42

                                 [tex]\Sigma (\text x -\bar{\text x} ) ( \text y - \bar{\text y} )[/tex]  

                                 = −9.88

(x - [tex]\bar{\text x}[/tex])²           (y - [tex]\bar{\text y}[/tex])²      

0.01               3.24            

4.41                1.44          

15.21              4.84            

1.21                 10.24            

0.01                17.64            

15.21             14.44          

0.81               7.84          

9.61               3.24            

4.41                0.04            

∑(x - [tex]\bar{\text x}[/tex])²         ∑(y - [tex]\bar{\text y}[/tex])²

= 50.89        = 62.96

Coefficient of correlation, r = [tex]$ \frac{\Sigma (\text x -\bar{\text y} ) ( \text y - \bar{\text y} )}{\sqrt{\Sigma(\text x -\bar{\text x} )^2} \sqrt{\Sigma(\text y-\bar{\text y} )^2}}[/tex]

                                           r = [tex]$ \frac{-9.88} {\sqrt{50.89 } \sqrt{62.96}}[/tex]

                                           r = [tex]$ -\frac{247\sqrt{8010086} } {4005043}[/tex]

                                           r = −0.17

Thus, the correlation coefficient of the given set of data is −0.17 which is negative correlation.

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9514 1404 393

Answer:

  terms: 2

  degree: 1

Step-by-step explanation:

The expression has two terms, separated by a minus sign.

The degree of the expression is the exponent of the only variable, 1. (Typically, a coefficient of 1 and/or an exponent of 1 are not shown.)

  terms: 2; degree: 1

Given the following formula, solve for I.
P = 2(1 + b)
A
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OB. 1 = 4(P + b)
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Answers

answer: c. l =p-2b/2

step by step:

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Answers

Answer:

6

Step-by-step explanation:

2(4·2-5)

2(8-5)

2·3

6

Answer:

6

Step-by-step explanation:

2 x (c2 - 5) = 2 x (4 x 2 - 5)

= 2 x (8 - 5)

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= 6

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x^2-8x+12

Step-by-step explanation:

you foil them

Gilbert took 2 hours longer to drive 240 miles on the first day of a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driving time for each day?

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Answer:

dyvhbCNN mfg beneficialgVCR specializations acknowledgement

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Simplify the square root
V16
O
16
0.4
O
40
O
4

Answers

Answer:
4
Step by step:
The square root of 16 is 4. To check, multiply 4 on itself (4x4) to see if the answer is 16.
√16 = 4

because 4² = 4×4 = 16

answer is option A

b) ¿Cuál es la relación entre el diametro y el radio?

Answers

Answer:

La circunferencia es una línea curva, y su longitud depende del radio o del diámetro. La relación matemática entre el radio (o diámetro) y la circunferencia se da por la siguiente fórmula: C = 2πr = πD. Donde C es la circunferencia y π=3.14.

Step-by-step explanation:

Answer:

Él radio mide la mitad de lo que mide él diámetro

Step-by-step explanation:

Espero te ayude la respuesta :)

Find the product. (6y − 2)2

Answers

Answer:

36y² - 24y + 4

Step-by-step explanation:

(6y - 2)² = (6y - 2)(6y - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

6y(6y - 2) - 2(6y - 2) ← distribute both parenthesis

= 36y² - 12y - 12y + 4 ← collect like terms

= 36y² - 24y + 4

Patty, Helene, and Mira share $0.96 that they found in an old wallet. How much money does each girl get?

Answers

Answer:

33 cents

Step-by-step explanation:

.96 divided by 3 = .36

The team ratio of games won to games played was 2 to 7. If the team played 49 games, how many games did the team fail to win?

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Answer:

they failed to win 35 games

Find the distance between

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Answer:

4,3

Step-by-step explanation:

Edunuity sucks;-;

hi-

That answer equals 5

solve for x: 3(x + 1) = −2(x − 1) + 6.

Answers

Answer:

x=1

Step-by-step explanation:

3(x+1)=-2(x-1)+6

3x+3=-2x+2+6

3x+2x=2+6-3

5x=8-3

5x=5

x=[tex]\frac{5}{5}[/tex]

x=1

How can I solve this question?

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draw a rectangle triangle :

sin B=8/17 that means that de biggest side are 17 ("hipotenusa"), and another side is 8. Applying de theorem of pythagoras:

[tex]17^{2} =8^{2} +x^{2} \\x^{2} =17^{2} -8^{2}\\x=\sqrt{17^{2} -8^{2}} \\x=5\sqrt{5}[/tex]

Two rectangular rugs are ordered at Cardi’s furniture: small rugs and large rugs.

Small rugs are 36 inches long and 18 inches wide.

Large rugs are 90 inches long and 45 inches wide.

a. Are the rugs similar shapes? Explain your reasoning.

b. Find the ratio of the two perimeters and the ratio of the two areas. Is there anything you notice about these ratios? What can you deduce?

c. It takes 180 feet of yarn to create a square foot of either rug. How many inches of yarn are needed to make the small rug? How many feet or yarn is needed to make the large rug?

d. If a “skein” of yarn costs $4.50 and one skein is exactly 180 feet of yarn, how many skeins of yarn are needed to make the large rug? Given this answer what is the lowest Cardi’s must sell the large rug in order to make a profit

PLEASE HELP EVEN IF U CAN ANSWER JUST 1

Answers

Answer:

a.) yes they are similar shapes, the width for both rugs is 1/2 of the length. This means that they are both similar in shape.

b.) 2:5 (perimeter rug 1 and 2 compared), 4:25 ( area for 1 and 2). The numers in the perimeter ratio are the square root of the numbers in the area ratio.

c.) You will need 648 sq in for the small rug and 4050 sq in for the large rug.

d.) 2:  she has to sell the large rugs x>$9 and the small rugs for s>$1.50

Step-by-step explanation:

total perimeter for rug 1 = 108   For rug 2 = 270

area for run 1 = 648 For rug 2 = 4050

180 ft =  2150 in

The large rug needs two skeins of yarn which cost 9 dollars, if she wants to make a profit she will have to sell them over that price.

You can make 3 small rugs with one skein meaning if she wants to make a profit from the small rugs she has to sell them over 1/3 of the price of the skein (which is sold for $4.50). She will have to sell the small rug for over $1.50

y = 2x - 15 y = 5x solve using systems of equations

Answers

Answer:

The answer will be (-5,-25) or x= -5 and y=-25

Step-by-step explanation:

Hope this helped

Answer:

Step-by-step explanation:

Since the solution will occur when y=y

2x-15=5x

-3x-15=0

-3x=15

x=-5, using this in y=5x

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y=-25 so the solution is the point

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C. (4,2)

Step-by-step explanation:

The point where the lines intersect is (4, 2)

Answer:

IT IS 2,4!!!!!!!!!1

Step-by-step explanation:

If f(x)=3x-2 and g(x)=2x+1 find (f-g)(x)

Answers

9514 1404 393

Answer:

  (f-g)(x) = x -3

Step-by-step explanation:

  (f-g)(x) = f(x) -g(x)

  = (3x -2) -(2x +1)

  = 3x -2 -2x -1 = (3x -2x) +(-2 -1)

  (f-g)(x) = x -3

A car travels 45 miles on one gallon of gas.The car uses 10 gallons of gas.How many miles does it travel

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Answer:

69

Step-by-step explanation:

A car travels 45 miles on one gallon of gas.The car uses 10 gallons of gas.How many miles does it travel

Answer:

it travels 450 miles on 10 gallons of gas.

Step-by-step explanation: Can I get the brainliest answer if it's correct.

Use the graph to answer the following question.
For which interval is the function increasing and changing by a constant
rate of change?
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B. -2 and 0
C. between -4 and -2
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Answers

d. hoped i helped :)

We can conclude that in the interval -4 and 2, the function increasing and changing by a constant rate of change.

What is function?

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is the graph of a function as shown in the image.

Between the interval -4 and 2, the function increasing and changing by a constant rate of change.

Therefore, we can conclude that in the interval -4 and 2, the function increasing and changing by a constant rate of change.

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What is the tax on a $7.40 item if the sales-tax rate is 8%?

Answers

Answer:

$7.99

Step-by-step explanation:

7.4*0.08 = 0.592 (0.59)

7.4 + 0.59 = 7.99

Answer: I do not know so so so so sorry explanation: Sorry good luck

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Answers

Answer:

75%

Step-by-step explanation:

350-200=150

150 is 75% of 200

Answer:

175%

Step-by-step explanation:

350/200 = 175/100

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Answer:

Step-by-step explanation:

The system of equations x + y = 1 and x – y = 2 has the unique solution x = 1 and y = –1.

There are infinite pairs of system of equations which have the unique solution x = 1 and y = –1.

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Answer:

3) fifty seven and three tenths

4) 1, 2, 4, 8, 16

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Step-by-step explanation:

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whats the anwser for 14−3x<−1

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

14−3x<−1  Question

Step 2

14−3x<−1  Simplify

Step 3

14−3x<−1   Subtract 14 from sides

-3x<-15

Step 4

-3x<-15  Divide sides by -3

x>5

Answer

x>5

Hope this helped

Answer:

Step-by-step explanation:

I can help

Step 1

14−3x<−1  Simplify

Step 2

14−3x<−1  subtract 14 from the sides

-3x<-15

Step 3

-3x<-15  Divide the sides by 3

-3x/-3<-15/-3

Answer

x>5

Hope this helps

Today only, a sofa is being sold at a 35% discount. The sale price is $559.
What was the price yesterday?

Answers

Answer:

195.65

Step-by-step explanation:

Answer:

100%-29% = 71%

568/0.71 = 800

price was $800

Step-by-step explanation:

If I'm wrong I'm sorry

If I'm right Thank you and (Brainliest plz )

I need help on this question as soon as possible

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Answer:

choice 2)  rotation 90 CW

Step-by-step explanation:

Answer:

Rotation 90 CW

Step-by-step explanation:

Can I have Brainliest?

Mrs. Rodriguez has 18 packages of pens in stock at her store on Monday. On Tuesday, she has 7/9 the number of pens she had on Monday. On Wednesday, she has 2/7 of the number of pens she had on Tuesday.

How many packages of pens does she have on Wednesday?

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Answer:

No but she can have dezzz nuts

Step-by-step explanation:

A triangular prism where the base is a right traingle with lengths of the edge are given 3cm,4cm,5cm,3cm what are the total surface

Answers

Answer:

Total surface area is 48 square Centimeter

Step-by-step explanation:

Total surface area is equal to the product of triangular base area and the height of the prism

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[tex]S = \frac{3+4+5}{2} = 6\\[/tex]

Area =

[tex]\sqrt{S(S-a)(S-b)(S-c)}[/tex]

Substituting the given values in above equation we get

[tex]\sqrt{6 *3*2*1} = 6[/tex] square centimeter

Total surface area

= [tex]2 * 6 + (3*3)+(3*4)+(3*5)\\= 12 + 9 + 12+ 15\\= 48[/tex] square Centimeter

HELP ASAP I will mark brainliest Emmy is flying a drone in a field near her house. She placed the drone on the ground and used the controls to make it rise at a constant rate. Then, she kept the drone at the same altitude for a few minutes before bringing it back down to the ground at a constant rate. Which graph shows the drone's altitude over time ?

Answers

Answer:

It is the one on the bottom right

Step-by-step explanation:

First of all, we have to start at (0,0), so we can cross out the one on the top left and top right, as they does not.

Also, the one on the bottom right does not go back to the ground, though just stays in the air, but the one on the bottom right dows go back to the ground.

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35 points!!! Help!! Make sure u answer all!!!

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Answer:

Expression for Perimeter:  6x + 6

x = 12 cm

Verify A = 360:

2(12) x (12+3) = 360

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360 = 360

Step-by-step explanation:

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