What is the value of Pearson correlation coefficient for a data, which is defined by equation y = 2*x + 3? 3 0 O 1 2 0 5

Answers

Answer 1

Pearson's correlation coefficient is used to evaluate the relationship between two variables. The Pearson correlation coefficient ranges from -1 to +1 and indicates the degree to which two variables are related to one another. The value of the Pearson correlation coefficient for the data set defined by the equation y = 2*x + 3 is 1.

The reason for this is that the data is perfectly correlated. When the equation y = 2*x + 3 is plotted on a graph, it will form a straight line with a slope of 2. As a result, any increase in x will result in a corresponding increase in y by a factor of 2. This means that the data is perfectly correlated, with a Pearson correlation coefficient of 1.

A value of 1 indicates a perfect positive correlation, whereas a value of -1 indicates a perfect negative correlation. A value of 0 indicates that there is no correlation between the variables. In this case, the Pearson correlation coefficient is 1, indicating a perfect positive correlation between x and y.

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Related Questions

How would you describe the graph for the equation lxl=2 ?

Answers

Two units down, line of symmetry at x=0, decreasing from negative infinity to 0, increasing from 0 to infinity

If jack took 10 minutes longer to complete his biology quiz than to complete his algebre quiz he spent a tital of 1. 5 hours taking quizzes today how much time did he spend on algebra

Answers

Jack spent 40 minutes on his Algebra quiz. Then, according to the problem, he took 10 minutes longer, or $x+10$ minutes, to complete his Biology quiz.

The total time he spent taking quizzes is 1.5 hours, which is equal to 90 minutes. Therefore, we can set up the following equation:

+

(

+

10

)

=

90

x+(x+10)=90

Simplifying this equation, we get: 2 + 10 = 90 2x+10=90, Subtracting 10 from both sides, we get: 2 = 80 2x=80

Dividing both sides by 2, we get: =40 x=40, Therefore, Jack spent 40 minutes on his Algebra quiz.

In summary, Jack spent 40 minutes on his Algebra quiz and 50 minutes (10 minutes longer) on his Biology quiz. Together, these quizzes took him a total of 90 minutes or 1.5 hours.

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If the demand increases more rapidly for software engineers than for office clerks, what would you expect to happen to the average pay for the two occupations?.

Answers

The pay for software engineers will go up relative to the pay for office clerks. Then the pay for software engineers will go up relative to the pay for office clerks.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

If the demand increases more rapidly for software engineers than for office clerks.

you expect to happen to the average pay for the two occupations will be

As the demand for software engineers increases then the number of clerks is also increased. Thus, the pay for software engineers will go up relative to the pay for office clerks.

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A cylinder has a volume of 48π cm3 and height h. Complete this table for volume of cylinders with the same radius but different heights.
height (cm) volume (cm3)
h 48π
2h ? answer in pi
5h ? answer in pi
h/2 ? answer in pi
h/5 ? answer in pi

Answers

Answer:

(i) For \(2\cdot h\), the volume is \(96\pi\) cubic centimeters.

(ii) For \(5\cdot h\), the volume is \(240\pi\) cubic centimeters.

(iii) For \(\frac{h}{2}\), the volume is \(24\pi\) cubic centimeters.

(iv) For \(\frac{h}{5}\), the volume is \(9.6\pi\) cubic centimeters.

Step-by-step explanation:

The volume of the cylinder (\(V\)), measured in cubic centimeters, is defined by the following formula:

\(V = \pi\cdot r^{2}\cdot h\) (1)

Where:

\(r\) - Radius, measured  in centimeters.

\(h\) - Height, measured in centimeters.

From statement, we understand that volume of the cylinder is directly proportional to its height. That is:

\(V \propto h\)

\(V = k\cdot h\) (2)

Where \(k\) is the proportionality constant, measured in square centimeters.

In addition, we eliminate this constant by constructing the following relationship:

\(\frac{V_{2}}{V_{1}} = \frac{h_{2}}{h_{1}}\)

\(V_{2} = \frac{h_{2}}{h_{1}} \cdot V_{1}\) (3)

Based on (3) and knowing that \(V_{1} = 48\pi\), we calculate the volumes for each height ratio:

(i) For \(2\cdot h\), the volume is \(96\pi\) cubic centimeters.

(ii) For \(5\cdot h\), the volume is \(240\pi\) cubic centimeters.

(iii) For \(\frac{h}{2}\), the volume is \(24\pi\) cubic centimeters.

(iv) For \(\frac{h}{5}\), the volume is \(9.6\pi\) cubic centimeters.

Whenever you have a 90 degree rotation you need to switch your x and y values.
True
False

Answers

Answer:

true

Step-by-step explanation:

hope its help bro

ok

Given an orthonormal set of column vectors {u₁, u2} € Rn and a set of scalars {ao, a₁, a2} € R, let H = ao + ₁₁ + a₂U₂u²/² 1. Prove or disprove that H is symmetric. 2. Determine all eigenvalues and associated eigenvectors of H. 3. Prove or disprove that H is diagonalizable.

Answers

1. To prove or disprove that H is symmetric, we will compare H with its transpose Hᵀ, which is obtained by interchanging rows and columns of H. Let us write H in matrix form:H = [u₁ u₂]A[u₁ u₂]ᵀ, where

A = [a₀ a₁u₂ᵀu₁ a₂u₂ᵀu₂]

Then,Hᵀ = ([u₁ u₂]A[u₁ u₂]ᵀ)ᵀ

= ([u₁ u₂]ᵀ)Aᵀ[u₁ u₂]ᵀ

= [u₁ u₂]A[u₁ u₂]ᵀ

= H

So, H is symmetric.2.

The characteristic polynomial of H is given byp(λ) = det(H - λI) = det[u₁ u₂]A[u₁ u₂]ᵀ - λ[u₁ u₂][u₁ u₂]ᵀ

= [a₀ - λ a₁u₂ᵀu₁ a₂u₂ᵀu₂][1 0][0 1] - λ[1 0][0 1][u₁ u₂][u₁ u₂]ᵀ

= (a₀ - λ)│1 - a₁u₂ᵀu₁│²,

which is zero if a₀ = λ and a₁ = 1/⟨u₁,u₁⟩.

So, the eigenvalues of H are a₀ and 0, and the eigenvectors associated with a₀ and 0 are u₁ and u₂ respectively.3. To prove or disprove that H is diagonalizable, we will check if there exists a basis of R² consisting of eigenvectors of H.

Since the eigenvectors associated with a₀ and 0 are linearly independent, H is diagonalizable if and only if it has two linearly independent eigenvectors.

Since {u₁, u₂} is a basis of R², we only need to check if u₁ and u₂ are eigenvectors of H.

Let us check if u₁ is an eigenvector of H:Hu₁ = [u₁ u₂]A[u₁ u₂]ᵀ[u₁]

= [u₁ u₂]A[u₁]

= a₀[u₁] + a₁u₂ᵀu₁[u₁] + a₂u₂ᵀu₂[u₁]

= a₀[u₁] + a₁⟨u₂,u₁⟩[u₁] + a₂⟨u₂,u₁⟩[u₁]

= (a₀ + a₁⟨u₂,u₁⟩ + a₂⟨u₂,u₁⟩)[u₁]

If u₁ is an eigenvector of H, then Hu₁ = λ₁u₁ for some scalar λ₁.

So,a₀ + a₁⟨u₂,u₁⟩ + a₂⟨u₂,u₁⟩ = λ₁,

which implies λ₁ = a₀ since {u₁, u₂} is orthonormal.

Similarly, we can check that Hu₂ = λ₂u₂ for some scalar λ₂ if and only

if λ₂ = 0.

So, H is diagonalizable if and only if a₁ = 0, which is equivalent to u₁ being an eigenvector of H.

Therefore, H is diagonalizable if and only if u₁ is an eigenvector of H.

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What is the range of the function f(x) = -1/3 |x-1| -2?
O all real numbers
O all real numbers less than or equal to - 2
all real numbers less than or equal to 1
all real numbers greater than or equal to -2

What is the range of the function f(x) = -1/3 |x-1| -2?O all real numbersO all real numbers less than

Answers

Answer:

It is C. All real numbers less than or equal to -2.

sorry if it wrong-

the mean game scores and standard deviations of four seasons of a football team are given below.seasonmeanstandard deviation2005193.52006212.82007121.0200894.0which statement must be true?

Answers

The statement "All seasons had the same level of variability in game scores" must be false.

To determine which statement must be true based on the mean game scores and standard deviations of four seasons of a football team, we need to analyze the data provided.

Given:

Season 2005: Mean = 193.5, Standard Deviation = 0

Season 2006: Mean = 212.8, Standard Deviation = 0

Season 2007: Mean = 121.0, Standard Deviation = 0

Season 2008: Mean = 94.0, Standard Deviation = 0

From the given data, we observe that all the standard deviations are zero. This indicates that there is no variation or spread in the game scores within each season. However, it is highly unlikely for a football team to have zero variation in game scores across multiple seasons.

Therefore, the statement "All seasons had the same level of variability in game scores" must be false.

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How many of 1 miles in to feet?

Answers




There are 5,280 feet in one mile.

One important use of the regression line is to do which of the​ following?
A. To determine the strength of a linear association between two variables
B. To determine if a distribution is unimodal or multimodal
C. To make predictions about the values of y for a given​ x-value
D. Both A and B are correct

Answers

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

Help me Please. This Due Today.

Help me Please. This Due Today.

Answers

Answer:

1/8

Step-by-step explanation:

As you can see, I unit fraction is 1/8 or any fraction with a one mostly because unit means 1.. always remember that!

which method represents a correct way to solve the equation 2(t−5)=48?

Answers

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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a person normally cost 1195 is on sale for 15% off if you only have a $10 bill do you have enough to purchase the book​

Answers

Answer:

no

Step-by-step explanation:

First determine the discount

11.95 * 15%

11.95 *.15

1.79

Subtract the discount

11.95-1.79

10.16

You do not have enough money with a 10 dollar bill

(2\(\sqrt{7\)+\(\sqrt{27\))(\(\sqrt{28\)-\(3\sqrt[3\sqrt[3]{3}\)

Answers

Answer is: 1
I used a lot of different methods & it always equal one.

Ready
Practice Unit Races for Ratios with Fractions - Practice - Level
Porter is on the swim team. In addition to swimming, he runs as part of his training.
Porter checks his heart rate halfway through his training session, as shown in the table.

Answers

Answer: 168

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

159 bpm when he swims.

Deondra measures an object as 2 3/4 inches to the nearest quarter inch. Abdul measures the same object as 2 1/2 inches to the nearest half inch. Can they both be correct? Explain

Answers

The ranges overlap, it is possible for both measurements to be correct.

What do significant figures in computations and measurements mean?

Since they show how precise and accurate the numbers being utilised are, significant figures are crucial in measurements and computations. In order to prevent mistakes and maintain the required degree of precision, it is crucial to maintain consistency in the number of significant figures throughout computations. This indicates the amount of uncertainty in a measurement.

Given that, Deondra measures an object as 2 3/4 inches and  Abdul measures 2 1/2 inches to the nearest half inch.

The actual length for Deondra is  between 2 5/8 inches and 2 7/8 inches.

For Abdul the actual length is between 2 inches and 3 inches.

Since the ranges overlap, it is possible for both measurements to be correct.

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Multiply the starting price by the right term that uses the compound average to show that the arithmetic mean does not recover the final price while the geometric and continuous means do. Convert the percent averages to fractions.
$53. 07 x (1 + arith mean) 3 = 53.07 x (1 + #21 %) 3 = #22
$53. 07 x (1 + geom mean) 3 = 53.07 x (1 + #23 %) 3 = $ #24
$53. 07 x e cont mean x 3 = 53.07 x e #25 % x 3 = $ #26
I need help filling out numbers #21 through #26

Answers

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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PLS HELP ME ASAP
WILL RECEIVE 25pts

PLS HELP ME ASAPWILL RECEIVE 25pts
PLS HELP ME ASAPWILL RECEIVE 25pts
PLS HELP ME ASAPWILL RECEIVE 25pts

Answers

Answer:

Co-interior angels adds up to 180

180-109=71

? Is 71

2x + x + 45=180

3x + 45 =180

- 45

3x =135

÷3

x=45

2x = 90

So, 90+45+45=180

x =45

B

Which is not a function?
a) y = x^2 - 3
b) x + 3 = y^2
c) x + y = 3^2
d) y = x + 3^2

Answers

Answer:

b try a number insted x........

gabelli partners is planning a major investment. the amount of profit x is uncertain but a probabilistic estimate gives the following distribution (in millions of dollars): profit 1 1.5 2 4 10 probability .1 .2 .4 ?? .1 a. find p (x

Answers

The missing probability is 0.2.

Gabelli Partners is planning a major investment with an uncertain profit estimate. The given distribution provides the probabilities for different levels of profit in millions of dollars. The missing probability for a profit of $2 million needs to be calculated.

To find the missing probability, we need to use the fact that the sum of all probabilities is equal to 1. Thus, we can use the given probabilities to find the missing one.

Gabelli Partners is planning a major investment with an uncertain profit, X, that has a given probability distribution. To find P(X=4), you need to calculate the missing probability in the distribution.

The probabilities in a distribution must sum up to 1. The given probabilities are 0.1, 0.2, 0.4, and 0.1, adding up to 0.8. To find P(X=4), simply subtract the sum of the given probabilities from 1:

P(X=4) = 1 - 0.8 = 0.2

So, the probability of a profit of 4 million dollars is 0.2 or 20%.

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If a quarterback takes a 13-yard loss
when he is sacked, what Integer
represents that loss?

Answers

Answer:

-13

Step-by-step explanation:

An integer is an whole number without decimals and fractions and can be negative, positive or 0.

In this scenario, the quarterback is losing 13 yards. The loss means that the 13 is negative, because positive would mean that he gains 13 yards. Therefore the loss is represented by the integer -13.

Hope this helped!

At a sandwich shop, they charge $2.75 for the basic sandwich and then $0.45 per ounce for the toppings. If
Willa paid for her sandwich with a $5 bill, how many ounces of toppings could she have ordered?

Answers

She has 5 ounces of toppings.
The reasoning is you first do 5-2.75 because you must subtract the basic sandwich from the total cost. Then, you must divided 2.25/0.45 because that is the cost of the remaining toppings.

Answer: 3 toppings

Step-by-step explanation: If 2 topping equals $1 then its would come out to $3.75.$0 .75+$0.45= $1.20 the.n $3.75+ $1.20 = $4.95. That comes up to 3 toppings

I need help with simple graph questions.
It says I did something wrong but I don't know what.

I need help with simple graph questions.It says I did something wrong but I don't know what.

Answers

9514 1404 393

Answer:

  g(x) decreasing: (-4, 0)

  f(x) ≤ g(x) on [-4, -2] U [2, 3]

Step-by-step explanation:

I agree with most of your answers.

Any point where there is a horizontal tangent will not be in that interval. That excludes x=-4 and x=0. The "decreasing" interval of g(x) is (-4, 0), with round brackets.

The domain of g is only [-4, 3], so functions f and g can only be compared on their joint domain. f(x) ≤ g(x) on the intervals [-4, -2] U [2, 3].

Help please uh thanks

Help please uh thanks

Answers

12•1
13•6
12/78 divide both numbers by 6 to simplify
Answer- 2/13
2/13 Is the answer to this question :)
Help please uh thanks

Please help serious answers only

Please help serious answers only

Answers

Answer: 15

Step-by-step explanation: 8 times 3 equals 24 then you subtract 9 from 24 which gives you 15.

answer it its a easy pionts no links or ill report u and u will not get brianly anymore pease answer it plsssss​

answer it its a easy pionts no links or ill report u and u will not get brianly anymore pease answer

Answers

Answer:

8:112 third blank put 14

What is the y-intercept

What is the y-intercept

Answers

Answer:

y-intercept: 3

equation: y = -x + 3

Step-by-step explanation:

For problem #6: (-2,5) and (2,1)

Slope m = (y2 - y1)/(x2 - x1)

=>m = (1 - 5)/(2 - -2) = -4/4 = -1

Slope-intercept form is y = mx + b

Given m = -1, y = 1, x = 2

=> 1 = -1(2) + b

=> 1 = -2 + b

=> b = 1 + 2  = 3

equation: y = -x + 3

since b is the y-intercept => 3

Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) 5 , 6 , 3 1 5, 6 ​ , 3 ​ 15, comma, square root of, 6, end square root, comma, square root of, 3, end square root, 1 A 5 , 6 , 3 1 5, 6 ​ , 3 ​ 15, comma, square root of, 6, end square root, comma, square root of, 3, end square root, 1 (Choice B) 5 , 5 , 50 5 ​ , 5 ​ ,50square root of, 5, end square root, comma, square root of, 5, end square root, comma, 50 B 5 , 5 , 50 5 ​ , 5 ​ ,50square root of, 5, end square root, comma, square root of, 5, end square root, comma, 50 (Choice C) 9 , 12 , 15 9,12,159, comma, 12, comma, 15 C 9 , 12 , 15 9,12,15

Answers

ANSWER:

Choice C, 9, 12, 15, forms a right triangle.

Evaluate the expression when a=-5 and c=3.
a-5c

Answers

Answer:

its either -20 or -7

Step-by-step explanation:

i believe its -20 tho hope it helps

Answer:

-20

Step-by-step explanation:

a-5c

a = -5  and c=3

-5 -5(3)

Multiply

-5 - 15

-20

Larry has three times as many pencils as Ben. Dejuan has four less than the number of pencils as Ben. Write the expression that would be the total number of pencils for all three of them.

Answers

Answer:

The total number of pencils for Larry, Ben and Dejuan is expressed as:

5B - 4

Step-by-step explanation:

Let B represent the number of pens Ben has.

》Ben = B

》Larry = 3 × B = 3B

》Dejuan = B - 4

∴ Total number of pencils for the three of them

= B + 3B + (B - 4)

= 5B - 4

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. Giving this to a witness means that he or she is free from the threat of prosecution.a) perjuryb) subpoenac) contemptd) immunity Are printed maps obsolete and unnecessary now that we have technology? Why or why not? Consider the following questions regarding the conduct of monetary policy a. The Federal Reserve has three traditional tools it uses to control the money supply Dools used prior to the 2008 financial crisis). Please name each tool and briefly explain tine cach would be used if the Fed wishes to decrease the money supply. Be specific in your answer Cincrease, decreass, lift, lower, tum on, tum off, etc.) Als, indicate whither and how the shangs in each of the tools will affect the monetary base and/or the money multiplier. b. During the 2008 financial crisis and the recent covid pandemic recession, the Federal Reserve lowered the policy interest rate all the way down to cero and conducted quantitative ang (Q) try and stimulate the economy during these difficult times. Please state what QE is and also explain carefully how this tool works to boost outi c. In recent years, the Fed has operated monetary policy with ample reserves Under this situation, what are the three main tools used to guide the policy interest rate into target range? Please the three tools and indicate how the tools would be changed to help the Fed increase the fed funds rate target range by 75 basis points in 1.5-1.75% as prescribed in a latest FOMC In addition, explain how the tools would keep the fed funds rate within the new larget range. devon is considered to be tech-savvy by his friends. he is willing to take risks when it comes to trying new products and is always the first in his group to get the latest gadget. what type of product adopter is devon? HELP ME PLEASE!!! WORTH 10 POINTS!!drag and drop each expression to correctly classify it as having a positive or negative product ( just put the ones in a positive group in that group and sam for the other one)(5/6)(5/6) (-5/6)(5/6)(5/6)(-5/6) (-5/6)(-5/6) If 4 out of 10 people vote, then in a town with 200,000 people , how many will vote? The following figure shows a right rectangular prism.The width is 8 the height is 7 and the length is 4 Which expression represents the surface area of the prism?A= 7 x 8 x 4B= 28 + 28 + 56 + 56 + 32C= 2 x 56 + 2 x 32 + 2 x 28D= 7 x 8 x 4 x 7 x 8 x 4 the content of a text is its Quizizz 10 pts each help please WITH PIC brainiest guaranteed which client is at highest risk for developing postsurgical complications? 18-year-old male trauma client 35-year-old c-section 55-year-old heart bypass 75-year-old pneumonia client The 16th term of an AP is three times the 5th term.If the 12th term is 20 more the 7th term.Find the first term and the common difference look at the following images, then in your own words, describe how they are different. I will give brainlist to correct answer!Where is (-1, 5/2) on the coordinate plane What is wrong in this python code import turtle bot = turtle.Turtle step = (50) turnAngle = (90) bot.Color("blue") bot.Begin_fill() bot.Forward(step) bot.Right(turnAngle) bot.Forward(step) bot.Right(turnAngle) bot.Forward(step) bot.Right(turnAngle) bot.Forward(step) bot.Right(turnAngle) bot.End_fill() The area of a rectangle 12 feet by 18 feet is identifying a specific audience segment and programming is called Use the drop-down menus to identify the ocean found at each point on the map. A B C D E those are for the drop-down menu arctic ocean southern ocean pacific ocean subject science Deil Company provides extended service warranty on electronic equipment sold through major retailers. The standard warranty contract is for three years. During the current year, the company sold 21,000 such warranty contracts at an werage price of 381 each. Related to these contracts. What is the amount of warranty revenue recognized on the first year? A. $1,701,000 B. $1,134,000. c. $0. D. $567,000. When the patient has a good oxygen saturation on RA, that is considered normal. What percentage would match this interpretation?a. 86% RAb. 93% RAc. 99% RAd. 90% RA According to robert sternberg, what kind of intelligence is assessed by traditional intelligence tests?.