Which of the following exponential regression equations best fits the data shown below?
X -4 -3 -2 -1 0 1 2 3 4
y 0.01 0.04 0.16 0.75 5 16 65 276 1251
OA. y = 2.08 -2.61^x
OB. y= 3.53 4.37^x
O C. y=6.37.5.02^x
OD. y= 7.13 6.09^x​

Which Of The Following Exponential Regression Equations Best Fits The Data Shown Below? X -4 -3 -2 -1

Answers

Answer 1

Answer:

B.  3.53*4.37^x

Step-by-step explanation:

See attached graph.

Which Of The Following Exponential Regression Equations Best Fits The Data Shown Below? X -4 -3 -2 -1
Answer 2

The exponential regression equations that best fits the data is y = 3.53(4.37)ˣ

What is exponential regression equation?

The equation of an exponential regression model takes the following form: y = abˣ where: y: The response variable x: The predictor variable a, b: The regression coefficients that describe the relationship between x and y.

Given is a table, we need to determine the exponential regression equation, for the same,

So,

The general exponential regression equations is, y = abˣ

where, a is initial value and b is growth factor.

Using graph calculator, we get,

a = 3.53

b = 4.37

Put the value of a and b in general equation, to find the exponential regression equation.

y = 3.53(4.37)ˣ

Hence the option B is correct.

Learn more about exponential regression equation click;

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Related Questions

Electric utility poles in the form of right cylinders are made out of wood that costs $27.96 per cubic foot. Calculate the cost of a utility pole with a diameter of 1 ft and a height of 20 ft. Round your answer to the nearest cent.

Answers

Answer:

$ 439.19

Step-by-step explanation:

Volume of a cylinder =   pi r^2 h        r =  .5 ft     h = 20 ft

        V = pi (.5^2)(20)

   multiply V * 27.96 to get  $ 439.19

Three time stue number of blue tiles in a bag is the same as 30% of the number of blue tiles in the bag increased by 54. How many blue tiles are in the bag?

Answers

kil this monkey its gonna touch me

Eric wants to create a scale drawing of a house. The scale drawing needs to fit on a piece of paper that is 6 inches wide. The drawing itself must be ate least 3 inches wide. A. Drag numbers into the box to show an appropriate scale for the drawing. B. Use the Connect Line tool to create a drawing based on the scale you chose in Part A

Answers

To build a scale model we must take into account the original measurements of the original house.

What is a scale model?

A scale model is a tool that allows us to build a structure with a smaller or larger size than the original that we take as a reference.

How to build a scale model?

To build a scale model we must take into account all the measurements of the original object, in this case a house to be able to reduce it adequately to a smaller scale.

For example, if its sides are 30 meters long by 2 meters high and we want to make a scale of half the size, we must make its sides 15 meters long by 1 meter high.

Learn more about scale model in: https://brainly.com/question/19512201

a triangular prism is covered with a foil label the label does not cover the two ends how much foil is necessary to cover the prism?

Answers

Step-by-step explanation:

13(16.5)+12(16.5)+5(16.5)

16.5(13+12+5) = 30(16.5) = 495 ft²

please help this is due in 10 minutes!!!

Answers

Answer:

256/3π

Step-by-step explanation:

Volume of Sphere: [tex]\frac{4}{3}\pi r^3[/tex]

So by subbing into the equation:

[tex]\frac{4}{3} \pi 4^3[/tex] = 4/3π x 64 = 256/3 π

Find the area of each part of the trapezoid.
Then find the total area of the trapezoid.
Area of triangle A: __ cm ^2 (exponent)
Area of rectangle: __ cm ^2
Area of triangle B: __ cm^2
Area of trapeziod: __ cm^2

PLEASE ANSWER FAST.

Answers

Answer:

Area of Triangle A = 4 cm²

Area of Rectangle = 24 cm²

Area of Triangle B = 4 cm²

Area of Trapezoid = 32 cm²  

Step-by-step explanation:

The formula to find the area of a triangle is: [tex]\frac{h_bb}{2}[/tex]

The base (b) is 2 and the height (h) is 4.

Now multiply,

2 times 4 = 8

Then divide,

[tex]\frac{8}{2}[/tex] which equals 4.

So the area of Triangle A and B is 4 cm² because they are the same triangles.

The formula to find the area of a rectangle is: a times b.

a=6 and b=4

Multiply,

6 times 4 = 24

So the area of the rectangle is 24 cm²

The formula to find the area of a trapezoid is: [tex]\frac{a+b}{2}h[/tex]

A=6

B=10

H=4

So now,

[tex]\frac{6+10}{2}4[/tex]

6+10=16

16 divided by 2 is 8.

Last multiply,

8 times 4 is 32.

The area of the trapezoid is 32 cm²

Hope this helped! And have a great day!

I’ve tried imputing the numbers but apparently I’m doing wrong so help please

Answers

Answer:

CB = sqrt  (4a^2 + 6b^2)

Step-by-step explanation:

Using distance formula

d^2  = ( x1-x2)^2   +  (y1-y2)^2

d^2 = (3a - -a)^2    +  (b - -5b )^2

d^2 = (4a)^2      +      (6b)^2        

   

Answer: [tex]CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]

Work Shown:

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\CB = \sqrt{(3a-(-a))^2 + (b-(-5b))^2}\\\\CB = \sqrt{(3a+a)^2 + (b+5b)^2}\\\\CB = \sqrt{(4a)^2 + (6b)^2}\\\\CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]

If that doesn't work, then your teacher may only want the stuff in the green box. So that would be either b-(-5b), or b+5b, or 6b

The end points of the diameter of a circle are (6, 0) and (-6, 0). What is the equation of this circle?

Answers

Equation of a Circle

Circular equations are organized like this:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](h,k)[/tex] is the center of the circle[tex]r[/tex] is the radius

Solving the Question

We're given:

(6, 0) and (-6, 0) are the endpoints of the diameter of a circle

To find the equation of this circle, we must determine two things:

The center of the circleThe radius

To determine the radius of the circle, find the distance between the given endpoints and divide by 2:

(6, 0) and (-6, 0)

⇒ There are 6 units between (0,0) and (6,0).

⇒ There are 6 units between (0,0) and (-6,0).

⇒ 6 + 6 = 12; the diameter of the circle is 12 units

⇒ 12 / 2 = 6

Therefore, the radius of the circle is 6 units.

To determine the center of the circle, find the midpoint of the given endpoints:

(6, 0) and (-6, 0)

⇒ The midpoint occurs at the very middle of these two points. The distance between the midpoint and (6,0) is equal to the distance between the midpoint and (-6,0).

⇒ We identified earlier that there are 6 units between (0,0) and (6,0), and that there are 6 units between (0,0) and (-6,0).

Therefore, the center of the circle is (0,0).

Plug the center and the radius into the equation:

[tex](x-h)^2+(y-k)^2=r^2\\x^2+y^2=6^2\\x^2+y^2=36[/tex]

Answer

[tex]x^2+y^2=36[/tex]

The exchange rate is 1. 65 Bosnian markas per U. S. Dollar. The price of a refrigerator in Bosnia is 1964 markas while in the U. S. It is $1357. The real exchange rate is approximately

Answers

We will see that the real exchange rate is approximately 1.447 markas per U.S. dollar.

What is the real exchange rate?

Here we need to perform a change of units procedure.

We know that the price of a refrigerator in Bosnia is 1964 markas, while in the US is $1357.

Then we can write the relation:

1964 markas = $1357

Now, we want to find the value in markas for a single dollar, then we divide both sides by 1357 to get:

(1964 markas)/1357 = $1357/1357

1.447 markas = $1

This means that the exchange rate is 1.447 markas per U.S. dollar.

If you want to learn more about changes of units, you can read:

https://brainly.com/question/9032119

what is 128 : 144 in the form of n:1

Answers

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 128 and 144 is 16Divide both the numerator and denominator by the GCD

128 ÷ 16144 ÷ 16Reduced fraction: 89

Therefore, 128/144 simplified to lowest terms is 8/9.

A wheel makes 13 revolutions to cover a distance of 65 m. Find the radius of the wheel.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Circumference of the wheel is :

[tex]\qquad \tt \dashrightarrow \:c = 2 \pi r[/tex]

c = circumference

r = radius

Number of revolutions = 13, and distance travelled is 65 m.

So, we can infer that :

[tex]\qquad \tt \dashrightarrow \:c = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

Now, equate both the equations ~

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{65}{13} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 5[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{2 \pi} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{3.14 \times 2} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{6.28} [/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx0.8 \: m[/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx80 \: cm[/tex]

radius of wheel is 80 cm

[ To the hundredth place : 0.796 m ]

Nine more than three times a number.

Answers

It should be 9 + 3x


——————————-

...............................

Answers

Answer:

804.2

Step-by-step explanation:

Formula
[tex]\pi r^{2}[/tex]

plug in

[tex]\pi *16^{2}[/tex]

≈ 804.24772

round to nearest tenth

≈ 804.2

You borrow $300 at a simple interest rate of 4% per year. You make no payments for two years. How much do you owe after two years

Answers

Answer:

17

Step-by-step explanation:

I took the test

need help will give brainlist​

Answers

Answer:

(C)  [tex]\frac{4x^{4} }{y{6}}[/tex]

Step-by-step explanation:

Look at the image below.

Find the area of the parallelogram.

Answers

Answer:

35

Step-by-step explanation:

i got it  on khan

Answer: 18

Step-by-step explanation: I got it on the Khan test don't trust the first one. ,,ԾㅂԾ,,

Help?? I could really use it

Answers

Answer:

16.5 m

Step-by-step explanation:

The triangle shown in the figure is a right triangle, so we can use the Pythagoreas Theorem.

a² + b² = c²

a² + 32² = 36²

a² + 1024 = 1296

a² = 272

a = √272

a = 16.5

Answer: 16.5 m

whats the mode of 1,1,2,2,4,4,4

Answers

Answer: 4

Step-by-step explanation: Mode is highest occurring number

Find the height of a triangle if the area is 42 square units and the base is 7 units.

Answers

Answer:

your answer is 12

Step-by-step explanation:

Base 7 Area 42

Using the formula

A= hb over 2

Solving for hb

hb=2A

b=2·42

7=12

hope this is not to confusing but the answer is 12.

Our badminton team has finished $75\%$ of its season, during which we won $40\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses

Answers

Answer:

80%

Step-by-step explanation:

We can generalize from a specific example.

Let's assume that the season is 100 games long.

We have played 75% of the season, which is 75 games

We have won 40% of the games that we have played, so we have won 40% of 75 games, which is 30 games.

So, we must have lost 45 games.

To finish the season with as many wins as losses, of the 25 games we have left to play, we will have to win 20 games and lose 5.

To win 20 out of the last 25 games will be 20/25  =  0.80  =  80%

suppose h(t)=-0.2t^2+2t models the height, in feet of a ball that is kicked into the air where as t is given time in seconds. after how many seconds does the ball reach maximum height. what is the maximum height of the ball after how many seconds does the ball reach the ground

Answers

Answer:

Step-by-step explanation:

h=vt-16t²+s

t= -b/2a

t= -2/.4

t=5 seconds

h= -0.2(5)²+2(5)

h= -0.2(25)+10

h= -5+10

h= 5ft

It takes 5 sec. to reach its max height so it will take 5 sec. to hit the ground so 5+5=10 10 sec. total.

Fining the Unit Rate.​

Answers

Answer:

See below ~

Step-by-step explanation:

Option A

Unit Rate = $2.49 / 24Unit Rate = $1.04 per bottle

Option B

Unit rate = $6.00 / 48Unit rate = $0.13 per bottle

Option C

Unit rate = $1.86 / 12Unit rate = $0.16 per bottle

Option C has the lowest rate, hence it is the best deal.

What is the empirical rule????

Answers

Answer:

The empirical rule, also known as the 68 - 95 - 99.7 rule, is a statistical rule that states that in regular distribution, virutally every piece of data will fall within three standard deviations. More specifically, 68% of the data will be within one standard deviation of the mean, 95% will lie in two standard deviations, and 99.7% will be within three standard deviations.

Step-by-step explanation:

Explanation above.

hope this helps :)

Answer:

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

Step-by-step explanation:

Find the volume of the pyramid. Assume the base is a rectangle.

Answers

Answer:  181.8 cubic inches

Work Shown:

A = area of the base

A = length*width

A = 9*10.1

A = 90.9

V = volume of the pyramid

V = (1/3)*(Area of the base)*(height)

V = (1/3)*(90.9)*(6)

V = 181.8

The units for the volume are in cubic inches. The result is exact.

A standard number cube is rolled 30 times. Based on theoretical probability, how many of the 30 rolls are likely to be even numbers.

A. 13 B. 15 C. 17 D. 19 E. 21

Answers

A. 13 B. 15 C. 17 D. 19 E. 21

The center of another circle is (-5,1) Its radius is √14 What is the equation of this circle?

Answers

Equation of a Circle

Circular equations are typically organized like this:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](h,k)[/tex] is the center of the circle[tex]r[/tex] is the radius of the circle

Solving the Question

We're given:

The center is (-5,1)The radius is [tex]\sqrt{14}[/tex]

Plug the given information into the formula:

[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-1)^2=(\sqrt{14})^2\\(x+5)^2+(y-1)^2=14[/tex]

Answer

[tex](x+5)^2+(y-1)^2=14[/tex]

i need help im on diagnostic!!!

Answers

Answer:

y=4z-3

Step-by-step explanation:

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

x² + 8x + 7

Step-by-step explanation:

A = bh

B = x + 7

H = x + 1

A = (x+7)(x+1)

= x² + x + 7x + 7

= x² + 8x + 7

X^2+8x+7

X squared plus eight x plus 7

How do you write 0.66 as a percentage

Answers

To find the percentage, we must move the decimal place to the right two times. After doing this, 0.66 written as a percentage is 66%.

Answer:

66%

Step-by-step explanation:

All you do is put the decimal places two please to the right or do the number times 100.     .66 times 100= 66%

i need answers asap pleaseeee

Answers

Answer: A

Step-by-step explanation:

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