Given the following data calculate the correlation coefficient. Then describe the correlation based on the correlation coefficient.

0 11
3 26
9 17
4 22
6 18

Answers

Answer 1

The correlation coefficient is -7.44, which shows a strong negative correlation.

To calculate the correlation coefficient, you can use the following formula:

r = (n Σ(xy) - Σ(x) Σ(y)) / √((n Σ(x²) - (Σ(x))²) (n Σ(y²) - (Σ(y))²))

Where n is the number of data points, x is the variable on the x-axis, y is the variable on the y-axis, Σ(xy) is the sum of the products of x and y, Σ(x) is the sum of x, Σ(y) is the sum of y, Σ(x²) is the sum of the squares of x, and Σ(y²) is the sum of the squares of y.

Plugging in the values from the data, we get:

r = (5 x 198 - 39 x 91) / √((5 x 114 - 39²) x (5 x 187 - 91²))

Simplifying this equation gives us:

r = (-179) / √((-97) x (-6))

r = (-179) / √(582)

r = (-179) / 24.07

r = -7.44

The correlation coefficient is -7.44, which indicates a strong negative correlation. This means that as the value of x increases, the value of y decreases. Conversely, as the value of x decreases, the value of y increases.

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Related Questions

What is 3/25 × 4 in simplest form

Answers

12/ 25
Because 3 x 4 / 25
12/ 25

Answer: 12/25

Step-by-step explanation:  3/25 × 4 is equaled to 3/25 × 4/1.

So first  we take 3 and 4 and multiply them to make 12.  

Then we take 25 and multiply it by 1 which would equal to 25.

Now we have 12/25 which cannot be simplified.

The Chess Club had an activity fund balance of $321 to begin the school year. Club members spent 13 of the beginning balance to attend their first tournament, and then, spent 25% of the remaining amount to go to their second tournament.

Answers

Club members spent 13 of the beginning balance to attend their first tournament so, the Chess Club spent $77 on their second tournament.

How to calculate balance money ?

To calculate the balance of a sum of money, you need to know the initial amount of money and any additions or subtractions that have been made to it.

For example, if you start with $100 and then receive an additional $50, your balance would be $100 + $50 = $150. If you then spend $25, your balance would be $150 - $25 = $125.

To determine how much money the Chess Club spent on their second tournament, we need to first calculate the remaining balance after the first tournament. The Chess Club spent 13 of the beginning balance of $321, so the remaining balance is $321 - $13 = $308.

Next, we need to calculate 25% of the remaining balance. 25% of $308 is (25/100) * $308 = $77.

Thus, the Chess Club spent $77 on their second tournament.

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what is -3 ≤ x - 5? I'll mark brainliest

Answers

The solution to the inequality expression given as -3 ≤ x - 5 is x ≥ 2

How to evaluate the expression?

From the question, we have the following parameters that can be used in our computation:

-3 ≤ x - 5

Add 5 to both sides of the expression

So, we have the following representation

5 - 3 ≤ x - 5 + 5

Evaluate the like terms

2 ≤ x

Rewrite the expression as

x ≥ 2

Hence, the solution is x ≥ 2

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What is the difference between the x-intercept and the y-intercept? Give examples with numbers for points.

Answers

Hope this helps

Answer:

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

water in a vertical cylindrical tank of height 22 ft and radius 4 ft is to be pumped out. the density of water is 62.4 lb/ ft3. (a) the tank is full of water and all of the water is to be pumped over the top of the tank.

Answers

The tank is full of water and all of the water is to be pumped over the top of the tank is 643,094.07 ft-lbs .

Consider a slice shown at a height of v and suppose that the slice has a thickness of Δv. The volume of the slice is then π( 3 )^2 Δv = 9π Δv which is the area of the disk of radius 3 times the thickness of the slice.

= 62.4 ( 9 π Δ v ) = 561.6 π Δ v

Δ W = ( 561.6 π Δ v ) ( 27 − v ) = 561.6 π ( 27 − v ) Δ v ft-lbs

Work = [tex]\int\limits^{27}_0[/tex]561.6 π ( 27 − v ) d v

= 561.6 π ( 27 v − 1 / 2 v^2 ) | 27_ 0

= 561.6 π ( 27 ∗ 27 − 1 / 2 ( 27 )^2

= 1,023,516 π / 5

= 643,094.07 ft-lbs

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a Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%

Answers

As a fraction, decimal and a percent, the shaded region is expressed as 7/10, 0.7 and 70% respectively.

What is a fraction, decimal and percentage?A fraction represents a part of a whole or, more generally, any number of equal parts.A decimal is a number that consists of a whole and a fractional part.In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Given is a image as shown in the image attached.

We can express the shaded area as -

Fraction : 7/10

Decimal : 0.7

Percent : (7/10) x 100 = 70%

Therefore, in the form of fraction, decimal and a percent we can express the shaded region as 7/10, 0.7 and 70% respectively.

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Mrs. Chu is ordering senior portraits of her son to send to their relatives. A medium photo
costs $22 and a large photo costs $42. She wants to spend less than $400 in total.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
x = the number of medium photos
y = the number of large photos

Answers

The inequality which represents the situation is 22x + 42y < 400.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

Cost of medium photos = 22x

Cost of large photo = 42y

Total cost < 400

22x + 42y < 400

Hence "The scenario is represented by the inequality 22x + 42y < 400.".

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Which inequality is different
X is no more than 12
X is at most 12
X is no less than 12
X is less than or equal to 12

Answers

The inequality that is different is C. X is no less than 12

How to illustrate the inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥  <  >   ≤.

An inequality is created when two or more algebraic expressions are compared using the symbols. They represent mathematical expressions where neither side is equal.

p ≠ q means that p is not equal to q

p < q means that p is less than q

p > q means that p is greater than q

p ≤ q means that p is less than or equal to q

p ≥ q means that p is greater than or equal to q

It should be noted that x is no less than 12 isless than the other inequalities that are given. Therefore, the correct option is C.

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Find the measure of the missing angles.

Answers

Answer: To find the missing angle, subtract the given angle from 180°.

Step-by-step explanation:

What is the result when the number 50 is decreased by 12% ?

Answers

Answer: 44

Step-by-step explanation:

100% - 12% = 88%

Take 50 times 0.88 = 44

Help me pls , I don’t understand this

Answers

21 miles per hour is the speed of boat still in water and 9 miles per hour is the speed of current.

What is downstream speed and upstream speed?

Downstream - A boat is said to be moving downstream if it is moving in the same direction as the stream.

Upstream - A boat is said to be moving upstream if it is moving downstream of the stream. The term "upstream speed" in this context refers to the boat's net speed.

13) Given that, a boat traveled 280 miles downstream and back.

Time taken by boat in downstream is 7 hours and in upstream is 14 hours.

Let the speed of a boat be x miles per hour and the speed of a current be y miles per hour.

So, the total speed in downstream is x+y miles per hour and the total speed in upstream is x-y miles per hour.

We know that, Distance = Speed × Time

Now, 280=(x+y)×7

⇒ x+y=40 ------(I)

Here, 280=(x-y)×14

⇒ x-y=20 ------(II)

Add equation (I) and (II), we get

x+y+x-y=40+20

⇒ 2x=60

⇒ x=30 miles per hour

So, x+y=40

⇒ y=10 miles per hour

14) Given that, a boat traveled 252 miles downstream and back.

Time taken by boat in downstream is 12 hours and in upstream is 84 hours.

Let the speed of a boat be p miles per hour and the speed of a current be q miles per hour.

So, the total speed in downstream is p+q miles per hour and the total speed in upstream is p-q miles per hour.

We know that, Distance = Speed × Time

Now, 252=(p+q)×12

⇒ x+y=21 ------(I)

Here, 252=(p-q)×84

⇒ p-q=3 ------(II)

Add equation (I) and (II), we get

p+q+p-q=21+3

⇒ 2p=24

⇒ p=12 miles per hour

So, p+q=21

⇒ q=9 miles per hour

Therefore, the speed of boat still in water is 21 miles per hour and the speed of current is 9 miles per hour.

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The circle graph shows how a typical household spends money on energy. Use the graph to find the measure of each arc.
mPQ
MUPT

Answers

Converting the percentage to degree in the pie chart, angle PQ and UPT are 162° and 25.2° respectively

Pie Chart

This is a statistical tool used to represent data in a chart. It is often represented using angles or percentage.

To find the value of the respectively angles, we have to convert the values from percentage to degree.

The formula to do this is given as

Percentage = angle * (100 / 360)

A)

Angle PQ = ?

Substituting the values;

45 = angle * (100 / 360)

45 = angle * (5/18)

angle = 45 / (5/18)

angle = 162°

B) Angle UPT = ?

7 = angle * (5/18)

angle = 7 / (5/18)

angle = 25.2

The angle PQ is 162 degrees, the angle UPT is 25.2 degrees

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express y in x terms.
y + 3x = 2​

Answers

Answer:

y = 2 - 3x

Step-by-step explanation:

y + 3x = 2 ( isolate y by subtracting 3x from both sides )

y = 2 - 3x

Answer:

[tex]\huge\boxed{\sf y = 2 - 3x}[/tex]

Step-by-step explanation:

Given equation:

y + 3x = 2

Subtract 3x from both sides

y = 2 - 3x

[tex]\rule[225]{225}{2}[/tex]

0.09 (100n + 1) = 0.3 (n +9)

Answers

Answer:

n = 0.3

Step-by-step explanation:

0.09(100n + 1) = 0.3(n + 9) ← distribute parenthesis on both sides

9n + 0.09 = 0.3n + 2.7 ( subtract 0.3n from both sides )

8.7n + 0.09 = 2.7 ( subtract 0.09 from both sides )

8.7n = 2.61 ( divide both sides by 8.7 )

n = 0.3

Determine which of the lines, if any, are
parallel. Explain.
Line a passes through (-2,5) and (2,1)
Line b passes through (-4,3) and (3,4)
Line c passes through (-3,4) and (2,-6)

Answers

line b because they are reciprocated

kristen's dog weighs 88 pounds of 1 kilogram is approximately 2.2 pounds what is the approximate weight of kristens dog in kilograms?

Answers

Answer:39.9

Step-by-step explanation:1 kilogram is 0.453592 kilograms so if you multiply that number by 88 you will get 39.9

Simplify: (4x4y3)(4x4)

Answers

Answer:

  16x⁸y³

Step-by-step explanation:

You want to simplify (4x⁴y³)(4x⁴).

Rules of exponents

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

Simplification

The simplified form is ...

  [tex](4x^4y^3)(4x^4) =(4\cdot4)x^{4+4}y^3=\boxed{16x^8y^3}[/tex]

Can someone please explain how I’m supposed to do this?

Answers

Answer:

Add Everyone's Goals

and then Divide Steeler's goal with Everyone's Goal.

Then Mutiply with 100 to get percentage.

Ans: 14.6%

Which type of graph would best compare the number of school days in California, Kansas, Alabama, and Rhode island?

Answers

Bar graph can best compare the number of school days in California, Kansas, Alabama, and Rhode island.

What is Bar graph?

A bar chart or bar chart is a chart or graph that represents categorical data in rectangular bars whose height or length is proportional to the value they represent. Bars can be drawn vertically or horizontally. Column charts are sometimes called vertical bar charts.

Bar charts show comparisons between discrete categories. One axis of the chart shows the specific category to be compared and the other axis represents the measured values. Some bar charts represent bars grouped into multiple groups to show values ​​for multiple measurement variables.

Therefore, Bar graph can best compare the number of school days in California, Kansas, Alabama, and Rhode island.

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a door was rolled 60 times. it landed on one-11 times, two-9 times, four-12 times, five-12 times, and six - 8 times. How many times was there rolled in there 60 times?

Answers

The die was rolled 7 times in there 60 times if it is landed on one-11 times, two-9 times, four-12 times, five-12 times, and six - 8 times.

What is meant by probability?

Probabilities are mathematical explanations of the probability of an event occurring or of a proposition being true. The probability of an event is expressed as a number between 0 and 1, where 0 often indicates impossibility and 1 generally indicates certainty.

Given,

Number of times a die rolled=60

And also given that it landed on,

One --- 11 times

Two -----9 times

Four -----12 times

Five -----12 times

Six -------8 times

Total number of times the die was landed on is 52 times.

Therefore, total number of times a die was rolled=60

S0, 52+x=60

x=7

Therefore, the die was rolled 7 times in there 60 times.

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3. You buy horchatas and tacos and spend more than $60. Write an inequality to represent this scenario.​

Answers

Answer:60=T/H

Step-by-step explanation:your spending more but u don't know what or how much u spent so therefore there is a variable AKA inequality

5⅗-2.2 in decimal and in fraction ​

Answers

Answer:

3.4 and 3 2/5

Step-by-step explanation:

5 3/5 = 5.6

5.6 - 2.2 = 3.4

3.4 = 3 4/10 = 3 2/5

suppose a high school guidance counselor wants to find out the proportion of students at his high school who have tried alcohol. he sends out an email to 200 randomly chosen students asking them if they have tried alcohol. of the 92 that responded, 6% said they had tried alcohol. define nonresponse bias. describe how nonresponse might lead to bias in this study.

Answers

Due to the counselor's assumption that individuals who did not respond to the email may have tried alcohol and did not want him (the counselor) to know, a non response might cause bias in the research.

What is the contribution of non response?

A non-response can contribute to a bias in the research because the counselor may believe that individuals who did not respond to the email may have tried alcohol and they did not want him (the counselor) to know.

When systematic mistakes are introduced into sampling or testing by choosing or favoring one outcome over other outcomes, it is considered to be biased in statistical research.

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In △QRS , point A is between points Q and R, point B is between points R and S, and AB∥QS .

QA=23 cm , QR=41 cm , and RS=123 cm .

What is RB ?

Answers

Answer:

the length of RB is 18 cm.

Step-by-step explanation:

In △QRS, since point A is between points Q and R, and point B is between points R and S, we have that QR > QA > 0 and RS > RB > 0. Additionally, since AB∥QS, we know that the segment AB is parallel to the segment QS.

We can use this information to set up an equation to solve for RB. Since AB∥QS and QA = 23 cm, we have that QR = RB + 23. We can substitute this expression into the equation QR = 41 cm to get:

RB + 23 = 41

Solving this equation for RB, we get:

RB = 41 - 23

Therefore, the length of RB is 18 cm.

Greg purchased a prepaid phone card for $40.25 calls cost 5 cents a minute using this card. the credit left in the card after it is used for x minutes of calls is given by the following function​

Answers

Answer: C= 40.25 - 0.05x

Step-by-step explanation:

C is the credit left

We know that the original is 40.25, so we put it as the beginning number.

Each minute costs $0.05x

where x is each minute

, so the equation is C= 40.25 - 0.05x

If $\frac{x}{2} \frac{y}{3} = 1$ and $\frac{x}{4} \frac{2y}{3} = -1$, what i the value of the um of $x$ and $y$?

Help Pl

Answers

If x² /y³ = 1 and x^4/2y³ = -1,  the value of the sum of x and y would be y^(3/2).

What are different operations in maths?

The fundamental procedures for altering and combining mathematical objects, such as integers and functions, are known as operations in mathematics. These operations, which are used to carry out mathematical computations on numbers, generally include sum, subtraction, multiplication, and division. Operations may also be applied to other types of mathematical objects, like as vectors, matrices, and sets, to execute more sophisticated operations such as vector addition, matrix multiplication, and set intersection. The outcome of an operation is referred to as an operand, and the procedures for combining operands are referred to as the operation's laws. A basic idea in mathematics, operations are applied in many different areas of science and math.

How to solve?

If x² /y³ = 1, then x² = y³

If x^4/2y³ = -1, then x^4 = -2y³

The sum of x and y is x + y = (x²)^1/2 + (y³)^1/3 = y^(3/2) + y

x + y = (x^4)^1/4 + (y³)^1/3 = (-2y³)^1/4 + y^(3/2) = -y + y^(3/2)

x + y = 0 + y^(3/2) = y^(3/2)

The sum of x and y is y^(3/2)

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factorise x squared + 3x

Answers

Answer:

x(x + 3)

Step-by-step explanation:

x² + 3x ← factor out x from each term

= x(x + 3)

Find the coordinates of the circumcenter of the triangle with the given vertices.
A(0, 0), B(0, 8), C(6, 0)

Answers

At (1, 5, 1), these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.

What is circumcenter ?

the middle of the triangle's circle. It is the intersection of the "perpendicular bisectors," or lines that are perpendicular to the middle of each side.

Triangle ABC's circumcenter is the point at which any two perpendicular bisectors of any two sides of the triangle come together.

The perpendicular bisector of sides B(3,0) and C(3,2) has the equation is y=1.

Because AB's slope is unknown and its midpoint is at 3,1. The slope of the perpendicular bisector is zero. Such a line has the equation y=y1.

Additionally, x=1.5 is the equation for the perpendicular bisector of A(0,0) and B(3,0). The explanation is because AB has a zero slope and a midway of (1.5,0). The slope of the perpendicular bisector will be ill-defined. x=x1 is the equation for such a line.

At (1, 5, 1), these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.

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Find the additive inverse of 2x+5 .

Answers

Answer: -5-2x

Step-by-step explanation:

Point A (-9, -3) is translated 4 left and 2 down. Where is A'?​

Answers

Answer:

(-13,-5)

Step-by-step explanation:

If you start at the black points and go 4 left and 2 down, you will be at the Red point (-13,-5)

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