A scatterplot containing several values is found to have a linear regression R2 value of 0.883, a quadratic regression R2 value of 0.537, an exponential regression R2 value of 0.492, and a logarithmic regression R2 value of 0.912. Which mathematical model best fits the scatterplot?
A. linear model
B. quadratic model
C. exponential model
D. logarithmic model

Answers

Answer 1

The best mathematical model that fits the scatterplot is the logarithmic model. So, correct option is D.

To determine the best mathematical model that fits the scatterplot, we look at the coefficient of determination (R²) values for each regression model. The coefficient of determination indicates the goodness of fit of the regression model, with values closer to 1 indicating a better fit.

Given:

Linear regression R² value: 0.883

Quadratic regression R² value: 0.537

Exponential regression R² value: 0.492

Logarithmic regression R² value: 0.912

Comparing the R² values, we observe that the logarithmic regression model has the highest value of 0.912. This indicates that the logarithmic regression model provides the best fit to the scatterplot among the given options.

Therefore, correct option is D.

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Related Questions

What is 24/240 as a decimal

Answers

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

HELP PLZ WILL GIVE BAINLYEST TO THE FIRST GOOD ANSWER

Answers

Answer:

for which do you need help

She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends.

Answers

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50.

We weren't provided with questions to answer. But, I will assume that we need to determine the number of units to be sold to break-even.

To calculate the break-even point in units and dollars, we need to use the following formulas:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 200 / (13.5 - 7.8)

Break-even point in units= 35 units

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 200 / (5.7/13.5)

Break-even point (dollars)= $473.68

If you want to reach a certain profit:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

the allowable is one metric used to determine what conversion rate you need to break even. True or False

Answers

The allowable is a term used in advertising and marketing to refer to the maximum cost per acquisition (CPA) that a business can afford to pay. So, the given statement is False.

"The allowable" is a term used in advertising and marketing to refer to the maximum cost per acquisition (CPA) that a business can afford to pay to acquire a customer while still remaining profitable. It is not directly related to the conversion rate needed to break even.

To determine the conversion rate needed to break even, you would need to consider the cost of acquiring a customer, the profit margin on the product or service being sold, and the total revenue generated by each customer. This calculation can help determine the minimum conversion rate needed to achieve profitability.

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Please Help Me, This Is So Difficult.


A tourism agency can sell up to 1500 travel packages for the Sugar Bowl college football postseason game in New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight airplane can carry up to 150 passengers, and the two-stop flight airplane can carry up to 100 passengers. The agency can locate no more than 12 planes for the travel packages. The tourism company makes a profit of $1100 for each non-stop flight airplane sold and $800 for each two-stop flight airplane sold. Assume that each plane will carry the maximum number of passengers.

Define the variables for this situation.


Write a system of linear inequalities to represent the constraints.


Graph the system of linear inequalities and shade the feasible region that shows the area of the graph representing valid combinations of nonstop and two-stop flight packages. Be sure to label your axes with correct increments.




Write an objective function that maximizes the revenue for the tourism agency.


Find the maximum revenue for the given constraints and give the combination of flights that achieves this maximum.


The maximum revenue would be _______________ and would be achieved using _____ nonstop flights and _____ two-stop flights.

Answers

The maximum revenue would be $9600 and would be achieved using 0 nonstop flights and 12 two-stop flights.

How to define the variables

Let x = number of non-stop airplanes

Let y = number of two-stop airplanes

The system of linear inequalities

Using the variables in (a), we have the following constraints

Total passenger constraint: 150x + 100y <= 1500

Total Airplanes constraint: x + y <= 12

Graph the feasible region.

In (b), we have the following system of linear inequalities

150x + 100y <= 1200

x + y <= 12

See attachment for the graph

The objective function

The objective function of the constraints is:

Max z = 1100x + 800y

The maximum revenue

From the graph of the function, the optimal solution is:

(x,y) = (0,12)

So, the maximum revenue is:

z = 1100x + 800y

z = 1100*0 + 800*12

z = 9600

Hence, the maximum revenue is $9600

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Please Help Me, This Is So Difficult.A tourism agency can sell up to 1500 travel packages for the Sugar

HELPPPP ME PLZZZZZZZ

HELPPPP ME PLZZZZZZZ

Answers

Answer:

It would take alot of time for be to fill everything out so the simple solution is, complementary angles add up to 90 degrees and supplementary add up to 180 degrees. Simply for complementary do 90 - m<1 = m<2, and for supplementary 180 - m<3 = m<4.

Find the length of side X in simplest radical form with a rational denominator.
X

Find the length of side X in simplest radical form with a rational denominator.X

Answers

Answer:

given in the figure an isosceles right triangle

hence

x = √3

√3 is a surd it can't be simplified further

the probability that a fair coun tossed 10 times will lsndheads up on all ten tosses is 1 out of ?

Answers

The probabiliti tha a coun is heads is 1/2 so the probability that that happen 10 times in row we have to multiply the probabilities so:

\(\begin{gathered} p=\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{2^{10}} \\ p=\frac{1}{1024} \end{gathered}\)

Adding 3 to some number, then multiplying the result by 7 gives 28 .
What was the original number ?

Answers

Answer:

1

Step-by-step explanation:

1+3 = 4  4*7 = 28

it's 1 because 28/7 = 4 and you add 3 to the number so 1 + 3 = 4 * 7 = 28 is correct.

find the z-score of lena's flight experience relative to the flight experiences of all the members of the pilots association. round your answer to two decimal places.

Answers

The z-score of Lena's flight experience, relative to the pilots association, rounded to two decimal places, is to be determined.

The z-score of Lena's flight experience can be calculated by comparing her flight experience relative to the flight experiences of all the members of the pilots association.

To compute the z-score, we need two pieces of information: Lena's flight experience and the mean and standard deviation of flight experiences within the pilots association.

Let's assume Lena's flight experience is denoted by X and the mean flight experience of the pilots association is denoted by μ (mu), with a standard deviation of σ (sigma).

The z-score formula is given by:

z = (X - μ) / σ

By substituting the appropriate values into the formula, we can calculate Lena's z-score.

Once we have the z-score, we can interpret it as the number of standard deviations Lena's flight experience is from the mean flight experience of the pilots association. A positive z-score indicates that Lena's flight experience is above the mean, while a negative z-score indicates it is below the mean.

To round our answer to two decimal places, we will truncate the z-score calculation after the second decimal point.

Please provide the values of Lena's flight experience, the mean flight experience of the pilots association, and the standard deviation so that I can calculate the z-score for you.

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Write the point-slope equation of the line that passes through (7,3) whose
slope is 2.

Answers

Answer:

y - 3 = 2(x - 7).

Step-by-step explanation:

The point-slope form is

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.

So the answer is:

y - 3 = 2(x - 7).

The sum weights of tana and vara is 60kg and differences is 20 kg. find the weights of tana and vara.​

Answers

Answer:

40kg and 20kg

Step-by-step explanation:

Answer:tana is 40 , Vara is 20

Step-by-step explanation:let x be tana, y be Vara.

x + y = 60

x - y = 20

Eliminate x by subtracting both equations.

Y -(-y) = 40

2y = 40

Y =20

Sub y=20 into x+y =60

X + 20 =60

X = 40

What is m∠DEF?
Enter your answer in the box.

Answers

Answer:

I think this question contain figure , check it

Answer:

jjzz

kkfkfklllflflfljfjfj

jjfjf

Vertex form Y=a(x-h)^2+kOptions for “which is the correct representation of the vertex of a parabola” are: (x,y), (y,x), (h,k), (k,h),(x,h), (h,x),(y,k), (k,y) Options for “which is the correct representation of the axis of symmetry of a parabola” are: x=y, x=h, x=k, y=h, y=k, x=a, y=a

 Vertex form Y=a(x-h)^2+kOptions for which is the correct representation of the vertex of a parabola

Answers

Given data:

The given equation of the parabola is Y=a(x-h)^2+k.

The vertex of the parabola is (h, k).

The axis of symmetry is x=h.

Thus, the vertex of the parabola is (h,k).

Thus, the axis of symmetry is x=h.

The sequence {
3
2n+1

}
n≥1

a. Bounded b. geometric c. arithmetic d. diverges

Answers

The correct option is a. bounded. According to the question The given sequence is \(\[ a_n = \frac{3}{2n + 1} \]\) is bounded and converges.

We need to determine whether the sequence converges, is bounded, geometric, arithmetic, or diverges.

a. Bounded: To check if the sequence is bounded, we can analyze the behavior of its terms. As n increases, the denominator \(\(2n + 1\)\) also increases. Consequently, the values of \(\(a_n\)\) will approach zero. Since \(\(a_n\)\) approaches zero but is never equal to zero, the sequence is bounded.

b. Geometric: A geometric sequence has a common ratio between consecutive terms. In this case, the sequence does not have a constant ratio between its terms, so it is not geometric.

c. Arithmetic: An arithmetic sequence has a constant difference between consecutive terms. Here, the sequence does not have a constant difference between its terms, so it is not arithmetic.

d. Diverges: Since we have already established that the sequence is bounded and not geometric or arithmetic, we can conclude that the sequence converges. Therefore, it does not diverge.

In summary, the given sequence is bounded and converges.

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Which set of numbers is included in the solution set of 5−4x<−7?
Responses


Answers

Answer:

x>3

Step-by-step explanation:

5-4x<-7

-4x<-7-5

-4x<-12

x>3

find the area of the trapezoid below​

find the area of the trapezoid below

Answers

Answer:

18 cm2

Step-by-step explanation:

Answer:
18
Step by Step:
4+8/2 x 3 = 18

Write an equation for the line that passes through (-8.5, 11) and (5, -2.5).

Answers

9514 1404 393

Answer:

  y = -x + 5/2

Step-by-step explanation:

The 2-point form of the equation of a line can be useful.

  y = (y2 -y1)/(x2 -x1)/(x -x1) +y1

  y = (-2.5 -11)/(5 -(-8.5))/(x -(-8.5)) + 11

  y = -13.5/13.5(x +8.5) +11 . . . . . . simplify a bit

  y = -x +2.5 . . . . . write in slope-intercept form

a uniform continuous distribution has a maximum of 14 and a minimum of 2. samples of size 36 are drawn from the distribution. what is the variance of the sample means?

Answers

The variance of the sample means that is found in the sample distribution that we have here is 0.3333

What is variance?

This is the measure of dispersion that is used to show the spread of the data that is contained in a data set

The formula that we are to use here is given as

b² - a² / b - a

we have to put the values in this question

(14 - 2)² / 14 - 2

= 144 / 12

= 12

From here we would have to solve for the variance.

The variance = 12 / 35

= 0.3333

Hence the variance that we have in the question is equal to 0.3333

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17 POINTS! I will also give Brainliest!
Find the perimeter of the coordinates below:
Figure PQRST is shown. P is at negative 2, 11. Q is at negative 4, 5. R is at 2, 0. S is at 1, 7. T is at 8, 7.



37 units


38 units


39 units


40 units

Answers

Answer:

c 39

Step-by-step explanation:

Parameter is the sum of the lengths of all sides of a polygon. The sides of the polygon are PT, TS, SR, RQ, and QP. To get the length of a side, we use the distance formula: Each vertex in the polygon has its corresponding points:\

So to get the length of side PT, we use the distance formula and the vertices of side PT:

The length of PT is

The same procedure is done for the other 4 sides and the following are the answers:

And by adding all the sides, you get the perimeter:

By rounding off, the answer is 39 units.

have a nice day

1. Explain why 3(x + 4) = 3(x - 5) has no solution.

Answers

Answer:

There is no solution because they are not equal

Step-by-step explanation:

3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.

Hope this helps!


Find the coordinates of the midpoint of a segment with the given endpoints.
V(-2,5), Z(3,-17)

Answers

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

What is the midpoint of the segment with the given endpoint?

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

x₁ = -2y₁ = 5

Point Z(3,-17)

x₂ = 3y₂ = -17

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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What is the scale factor of the preimage to image?.

Answers

Depending on the scale factor, the dilation picture will either be larger or smaller than the preimage.

What is an example of a scale factor?

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller). By multiplying each side by a certain number, say 2, we can increase the size of a rectangle with sides of 2 cm and 4 cm.

What in mathematics are preimage and image?

Preimages are parts of the range, and images are the range's elements.

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[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]

Answers

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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a)A certain clothing company employs machinist and supervisors. The company uses the formula y =35x +1 to determine the number of machinists and supervisors. The machinists and supervisors are represented by x and y of respectively if y =841,determine by making use of the formula, the number of supervisorsa)A certain clothing company employs machinists and supervisors. The company employed by the company.
b)write the number of machinists and number of supervisors as a ratio. ​

Answers

Answer:

a)  24

b) 24 : 841

Step-by-step explanation:

y = 35x + 1

a)  If y = 841:

⇒ 35x + 1 = 841

Subtract 1 from both sides:

⇒ 35x = 840

Divide both sides by 35

⇒ x = 24

b) machinists = x

supervisors = y

x : y = 24 : 841

you are a contestant in a quiz show, answering a series of questions. you answer correctly with probability p, or incorrectly with proabaility q; you get $1 for every correct answer, and you are eliminated when you first give two consecutive wrong answers. the questions are indepdent. find the expecred number of questions you attempt, and your expecred total prize moeny

Answers

The expected total prize money is $2p/q.

Given that,

You participate as a participant in a game show and respond to questions. You receive $1 for each correct response, and you are disqualified if you first provide two consecutive inaccurate answers. You can answer properly with probability p or wrongly with probability q. Each question stands alone.

Let,

The probability of correctly answering a question is = p

The probability of incorrectly answering a question is = q

The number of failures after which you are eliminated is = 2

Let r = 2 =  No. of failures and

Let q = The probability of failure in a single question

Now, the number of questions that you will attempt will follow a negative binomial distribution whose parameters are r and q.

The expected value of a negative binomial distribution is given by

E[X] = r/q

So, the expected number of questions that you will attempt is = r/q = 2/q

Out of 2/q questions, the expected number of correct questions is = 2p/q

So, the expected total prize money is $2p/q.

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which should i do?

I choose the semester exam.
or
I choose the Pythagorean Snail semester project.

Answers

Number 2 because snails are like the best

An online video streaming service offers two plans for unlimited streaming.

Plan A has a one-time $8 membership fee and is $25 per month.

Plan B has a $12 membership fee and is $5 per month.

Write a system of equations that represents the two plans.

Answers

The pair of equations is y = 25x + 8 and y = 12 + 5x where 'x' is the number of months and 'y' is the total cost.

System of equations:

A system of equations refers to a set of two or more equations that need to be solved simultaneously. The solution of a system of equations is a set of values that satisfy all the equations in the system.

To represent the following situations use variables like x, y, z.. etc. to represent the number of months and total cost and form the equations.

Here we have

An online video streaming service offers two plans for unlimited streaming.

Plan A has a one-time $8 membership fee and is $25 per month.  

Let Plan A run for 'x' number of months and 'y' be the total cost

Total cost for 'x' months, y = 25x + 8  

=> y = 25x + 8

Plan B has a $12 membership fee and is $5 per month.

Let Plan B run for 'x' number of months and 'y' be the total cost

Total cost for 'x' months, y = 12 + 5x

=> y = 12 + 5x

Therefore,

The pair of equations is y = 25x + 8 and y = 12 + 5x where 'x' is the number of months and 'y' is the total cost.

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if you use 1 pound of mirepoix in a recipe that yields 1 gallon of soup, how much mirepoix do you need to make 31/2 gallons of soup?

Answers

we need 31/2 pounds mirepoix to make 31/2 gallons of soup.

let we need x% (percent) of mirepoix to make 1 gallon of soup

given we have 1 pound of mirpoix which yeilds 1 gallon soup of soup

so total amount of mirepoix that required in the solution is = \(\frac{x}{100} *1 pound\)

so x/100 = 1 gallon / pound

we will use this equation for further calculation

let we need y pounds of mirepoix to make 31/2 gallon of soup  ans we know that x% of mirepoix is required for this solution.

so \(\frac{x}{100} * y = 31/2\)

ans in the above equation x/100 =1 gallon / pound

so  1 * y= 31 /2

and hence y = 31/2 pounds

so we need 31/2 pounds of mirepoix to form requied amount of soup.

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what is the determinant of the coefficient matrix of the system -3x+0y-2z=6 9x+0y+5z=7 6x+0y-12z=3​

Answers

The determinant of the coefficient matrix of the given system is zero, indicating that the system does not have a unique solution.

The determinant of a matrix is a scalar value that provides important information about the matrix. In the given system, the coefficient matrix is:

[-3 0 -2]

[ 9 0 5]

[ 6 0 -12]

To find the determinant, we can use various methods, such as cofactor expansion or row reduction. In this case, we can simplify the matrix by performing row operations. Notice that the second row is three times the first row, and the third row is two times the first row. Therefore, the determinant of the coefficient matrix will be zero because the rows are linearly dependent.

When the determinant of a coefficient matrix is zero, it implies that the system of equations is dependent or inconsistent. Geometrically, the equations represent planes in three-dimensional space. A determinant of zero means that the planes are parallel or coincident, resulting in infinitely many solutions or no solution at all. In this case, the system is dependent, and the equations are not sufficient to determine a unique solution for the variables x, y, and z.

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