What is the exponential regression equation that fits these data?
х
у
-4
0.025
-3
0.075
-2
0.25
-1
0.70
0
3
1
8
2
20
3
60
4
160
A. y= 4.90x2 + 14.44x - 4.69
B. y = 3.02 · 2.26%
C. y = 2.01 • 3.80%
D. y = 2.26. 3.02%
Answers
Answer: it is y=2.26x3.02^x
Step-by-step explanation:
Option D is correct.
What is exponential regression?
An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data.
The general form for the exponential regression equation[tex]y = ae^{bx}[/tex]
According to the question
We have a data.
Let the exponential regression equation be [tex]y = ae^{bx}[/tex]
Take two values of x and y from the given data for finding the value of a and [tex]e^{b}[/tex].
substitute y = 0.025 and x = -4 in [tex]y = ae^{bx}[/tex] we get
[tex]0.025 = ae^{-4b}...(1)[/tex]
similarly ,substitute y = 0.075 and x = -3 in [tex]y = ae^{bx}[/tex] we get
[tex]0.075 = ae^{-3b} ....(2)[/tex]
from equation 1 and 2
[tex]\frac{0.025}{0.075} = \frac{ae^{-4b} }{ae^{-3b} }[/tex]
⇒[tex]\0.333 = e^{-b}[/tex]
⇒[tex]ln(o.33) = -b[/tex]
⇒[tex]-(1,1086) = -b[/tex]
⇒ b = 1.1086
Therefore,
[tex]e^{b} = (2.718)^{1.1086} = 3.0041[/tex]
and substitute b = 1.1086 and [tex]e^{b} = 3.0041[/tex] in either equation 1 or 2, we get
a = 2.2
Thus, the exponential regression equation will be
[tex]y = (2.2)3.041^{x}[/tex]
Hence, option D is the correct one.
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Related Questions
please help where do i put it on the graph
Answers
Answer:
(0,5),(2,6) these are the coordinates of the line.
Step-by-step explanation:
I hope this helps.
The owner of two local restaurants has decided to randomly sample customers and gather feedback from the customers regarding the restaurants' cleanliness, service, and food quality. Over the course of five nights, five customers from each restaurant are randomly asked to fill out a survey, rating the restaurant on the three categories and using a scale from 1 to 5. A rating of 1 represents a very poor customer experience, and a rating of 5 represents an excellent customer experience. After five nights, the restaurant owner organizes and records the data, making a table for each restaurant.
Restaurant A
Cleanliness Service Food Quality
4, 3, 5, 4, 3, 4, 5, 4, 4, 2, 1, 4, 1, 2, 3, 2, 3, 2, 2, 5, 4, 4, 3, 5, 4 1, 5, 2, 1, 5, 1, 2, 5, 4, 4, 3, 1, 3, 4, 5, 3, 5, 4, 2, 1, 5, 4, 1, 1, 3 5, 4, 1, 1, 3, 5, 3, 3, 3, 4, 4, 1, 3, 3, 4, 5, 4, 2, 3, 5, 2, 4, 3, 2, 1
Restaurant B
Cleanliness Service Food Quality
4, 4, 2, 1, 4, 4, 2, 3, 5, 1, 5, 3, 2, 2, 2, 3, 1, 2, 2, 4, 2, 2, 3, 2, 2 3, 2, 4, 5, 3, 3, 2, 5, 3, 5, 1, 3, 1, 3, 1, 2, 4, 3, 3, 2, 4, 4, 1, 3, 5 1, 3, 3, 4, 5, 4, 2, 3, 5, 2, 4, 3, 2, 4, 4, 4, 1, 2, 5, 5, 5, 3, 5, 4, 1Calculate the mean absolute deviation of the Restaurant A's service ratings. [Note: Type your answer as a number. Do not round.]
MAD =
help please
Answers
Answer:
1.36
1. Find the mean of all values. (3)
2. Find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)
3. Find the mean of those distances.
Answer:1.36
Step-by-step explanation:
please help me
answer keys
A. m^10
B. 3m^10
C. m^9
D. 3m^9
Answers
Answer:
a. [tex]m^{10}[/tex]
Step-by-step explanation:
What is the sum of the positive integers that are solutions of -3n +3 >-11?
Answers
Step-by-step explanation:
-3n + 3 > -11
-3n > -14
3n < 14
n < 14/3
14/3 = 4.66666666...
the only positive integers that are smaller than 4.666666... are
4, 3, 2, 1
their sum is
4+3+2+1 = 10
Hape a and hape b are each made from five identical quare
The perimeter of hape a i 60 cm
work out the perimeter of hape b
Answers
50 cm is the required perimeter of shape B.
What is the perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.
A circle's or an ellipse's circumference is referred to as its perimeter.
There are numerous uses in real life for perimeter calculations.
We must sum up the lengths of the rectangle's four sides in order to get its perimeter.
So, according to the given figures:
Shape A's circumference is 60 cm.
Let x cm be the length of each square.
The total length of shape A's free bounds is equal to 12x.
Consequently, 12x = 60.
x = 5 cm
Currently, the length surfaces of form B equal 10x.
Shape B's perimeter equals 10x.
= 10(5)
= 50 cm
Therefore, 50 cm is the required perimeter of shape B.
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Correct question:
Shape A and Shape B are each made from 5 identical squares.
The perimeter of shape A is 60cm. Work out the perimeter of Shape B
A triangle has side lengths of 5 units, 11 units and 6 units. Tell whether the triangle is a right triane
Answers
Answer:
triangle isn't right angled
Step-by-step explanation:
For a right tangled triangle :
Length of the longest side, hypotenus is given by :
Hypotenus = √(opposite² + adjacent ²)
From.the question :
Hypotenus = 11
Opposite and adjacent = 5 units and 6 units
Let's test :
Hypotenus = √(5² + 6²)
Hypotenus = √(25 + 36)
Hypotenus = √61 units
Hypotenus = 7.8
Hypotenus for a right angled triangle = 7. 8 units and not 11.
Hence, triangle isn't right angled
Calculate the area of the parallelogram, in m2
Answers
Answer:
20
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
n
If a new data point at 12 is added to the graph, which
will be true?
1
2
3
4
5
6.
7
8
9
10 11 12 13
The mean will increase, and the median will stay the
same,
O The median will increase, and the mean will stay the
same
The mean will increase more than the median, but
both will increase.
The median will increase more than the mean, but
both will increase
Answers
Answer: C) The mean will increase more than the median, but both will increase.
Step-by-step explanation:
I got it right already! :)
The solution is, The mean will increase more than the median, but both will increase.
[third option listed]
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
the median of a data set is the number in the middle [when listed from lowest to highest in value]
1 2 3 4 5 6 7 8 9 10 11 12 13
is the current median
let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)
1 2 3 4 5 6 7 8 9 10 11 12 12 13
[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]
so, 7.5 is the current median
(this is an increase of 0.5)
the mean of a data set is what we commonly refer to as the "average"
[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]
1 2 3 4 5 6 7 8 9 10 11 12 13
mean of original data set:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]
_______________________________________
13
[91 ÷ 13 = 7]
because our number is greater than our original mean [12 > 7], we know that the mean must increase:
[91 + 12 = 103]
[103 ÷ 14 ≈ 9.36]
[we had an increase of 2.36]
so, median increased by 0.5, mean increased by 2.36
so, both values increased, whilst the mean increased by more than the median [as to be expected]
so, we get,
"The mean will increase more than the median, but both will increase." [third option listed]
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5% of 12 is what number?
I will give brainliest!!!!!
Answers
Answer:
5% × 12 = ?
5% × 12 =
(5 ÷ 100) × 12 =
(5 × 12) ÷ 100 =
60 ÷ 100 =
0.6
Step-by-step explanation:
can i have b
Answer:
0.6
Step-by-step explanation:
To find 10% of something, you move the decimal point to the left one space. We now have 1.2 = 10%. You can divide this by two to find 0.6, which would equal 5% of 12.
Hope this helps! Have a nice day :)
James Middle School, 500 students were asked their favorite sport to watch on TV 35% of the students like watching basketball 15% of the students like watching baseball 30% of the students like watching soccer The rest of the students like watching football. How many students like watching football?
Answers
AYUDAAAAAAAAAAAAAAAAAAAAAAAAAAAAA PLIS
Answers
Answer:
es difícil verdad amigo
In a certain city, the mean household annual income is $45,000 with a standard deviation of $6,000.
Suppose a certain household has an annual income with a z-score of 1.5. What is their annual income?
Answers
The annual income of a certain household that has a z-score of 1.5, is 80,000.
What is z-score?The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A value that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.
Z-scores can either be positive or negative, with a positive value indicating that the score is above the mean and a negative value indicating that the score is below the mean. Z-scores are measurements of an instrument's variability used in investing and trading that traders can use to estimate volatility.
Let the annual income be x.
x has μ = 50000, σ = 20000
We know that for given x, z = (x−μ)/σ
Given that z - score = 1.5
Substituting the values we get
⇒ 1.5 = (x−50000)/20000
⇒ 1.5 × 20000 = x−50000
⇒ 30000 = x − 50000
⇒ x = 30000 + 50000
⇒ x = 80,000
Thus, The annual income of a certain household that has a z-score of 1.5, is 80,000.
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Determine if the quadrilateral is a parallelogram. Using a complete sentence, explain why or why not.
Answers
Answer:
It is
Step-by-step explanation:
Parralel Lines. Since they have the same opposite angles, they will never touch, being parallel
at a local cafeteria there are 10 vegetable selections available how many three vegetable plates maybe made
Answers
The number of vegetable plates can be made = 120
We know that a combination is nothing but a way of selecting items from a collection. In combination the order of selection does not matter.
We know that a formula for a combination is,
^nC_r = n! / r!(n - r)!
where, ^nC_r = number of combinations
n = total number of items in the collection
r = number of choosing items from the collection
and n! = n × (n - 1) × (n - 2) × . . . × 1
Here, we have n = 10 and r = 3
Using combination formula, the total number of plates made:
^10_C_3
= 10! / (3! × (10 - 3)!)
= 10! / (3! × 7!)
= (10 × 9 × 8 × 7!) /( 3! ×7!)
= (10 × 9 × 8) / (3 × 2 × 1)
= (90 × 8) / 6
= 720/6
= 120
Therefore, 120 vegetable plates maybe made
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Yesterday the temperature at noon was 11.4 f . By midnight the temperature had decreased by 15.7 degrees. What was the temperature at midnight ?
Answers
Answer:
-4.3
Step-by-step explanation:
It is asking for the temperature at midnight so to find out what it is. We simply subtract the starting temperature of 11.4f from 15.7 degrees
( 11.4 - 15.7 ). That would leave us with -4.3f at night.
40% of x is 35.
X=?
Answers
Step-by-step explanation:
0.40x = 35 ---> x = (35 /0.40) = 87.5
Is N2 equal to Avogadro's number?
Answers
Yes, N2 equal to Avogadro's number. The symbol for Avogadro's number is N₂
What is Avogadro's number?Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.
Yes, Avogadro's number is defined as the number of atoms, ions or molecules in one mole of substance, and is approximately 6.022 x 10^23. The symbol for Avogadro's number is N₂.
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Find the distance between the pair of points.
(-1, -6) and (8, -7)
Answers
Answer:
9.06 units (3 s.f.)
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.
Distance between (-1, -6) and (8, -7)
[tex] = \sqrt{[- 7 - ( - 6)]^{2} + [8 - ( - 1)]^{2} } [/tex]
[tex] = \sqrt{ {( - 7 + 6)}^{2} + (8 + 1) {}^{2} } [/tex]
[tex] = \sqrt{( - 1)^{2} + {9}^{2} } [/tex]
[tex] = \sqrt{1 + 81} [/tex]
[tex] = \sqrt{82} [/tex]
= 9.06 units (3 s.f.)
Suppose a Ferris wheel has a diameter of 68 m.
The wheel rotates 12° each time a new passenger
is picked up. How far would you travel when the
wheel rotates 12°? Round to the nearest tenth
if necessary.
A 7.1 m
C 7.8 m
B 7.5 m
D 14.2 m
Answers
Answer:
A. 7.1 meters
Step-by-step explanation:
12 ÷ 360 = [tex]\frac{1}{30}[/tex]
C = Dπ = 68π
[tex]\frac{68π}{30}[/tex] = 7.120
Round down to 7.1
If you help me, I shall be your friend! :)
PLEASE HELP ME!!!
For each equation below, decide what value, if any, would make it true.
( Please no links, and don't answer unless you're actually going to help me)
Answers
Answer:
h=9
r=3
and im not so sure about the other 2
Answer:
h = 81
r = N/A
a = 36\pi ^2\\
b = N/A
Step-by-step explanation:
plz help I put 25 ponts
Answers
Answer:
what do you need there's no image or question
Answer:
answer is yes points thanks
Step-by-step explanation:
Skyler goes
to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
Answers
Answer:
750
Step-by-step explanation:
30/40 students dislike it from the sample, so 0.75
1000 x 0.75 = 750
3x+2y=2 in slope intercept form!!!
Answers
Answer:
[tex] \displaystyle{ y= - \dfrac{ 3}{2} x+ 1}[/tex]
Step-by-step explanation:
Slope-intercept is in form of y = mx + b where m is slope and b is y-intercept. We simply solve for y in term of x and then we will obtain the slope-intercept form.
Given the linear equation:
[tex] \displaystyle{3x + 2y = 2}[/tex]
First, subtract both sides by 3x:
[tex] \displaystyle{3x + 2y - 3x= - 3x + 2} \\ \\ \displaystyle{2y = - 3x + 2}[/tex]
Then divide both sides by 2:
[tex] \displaystyle{ \dfrac{2y}{2} = \dfrac{ - 3x + 2}{2}} \\ \\ \displaystyle{ y = \dfrac{ - 3x + 2}{2}}[/tex]
Separate fractions (Simplify):
[tex] \displaystyle{ y= \dfrac{ - 3x}{2} + \dfrac{2}{2}} \\ \\ \displaystyle{ y= - \dfrac{ 3}{2} x+ 1}[/tex]
And we have finally converted the equation to slope-intercept form.
help! thanks !!! asap tho-
Answers
The unit rate of change of the proportional relationship is given as follows:
2.25.
The graph of the proportional relationship is given by the image presented at the end of the answer.
What is a proportional relationship?A proportional relationship is a linear function with an intercept of zero modeled as follows:
y = kx.
In which k is the constant of proportionality.
The input and output variables for this problem are given as follows:
Input variable x: cups of sugar.Output variable y: cups of flour.The constant k, representing the unit rate, is obtained by the division of the output of the input from the table, hence:
k = 4.5/2 = 6.73/3 = 9/4 = 2.25.
Meaning that the function is defined as follows:
y = 2.25x.
The function is graphed for a domain of x ≥ 0, as the number of cups of sugar must be a countable, non-negative amount.
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Alyssa has 5 kg bag of cat food. If she uses 25 g of food for each meal, how many meals can she feed her cat with the bag of food?
Answers
5kg=5,000g
5,000 divided by 25= 40
A food factory makes 560 fans in 7 days with the help of 20 machines,how many fans will be made in 12 days with the help of 18 machines.
Answers
Answer:
864fans
Step-by-step explanation:
machines:days:fans
20 : 7 :560
18 : 12 : ??
we start with the days:if the days increase the number of fans being made also increase so the solving ratiowill be an increasing one:12/7 ×560=960.Then we go to the no. of machines.......if the no. of machines decrease then no. of fans being made also decrease so the solving ratio is a decreasing one:18/20 × 960=864
answer:864fans
PLEASE HELP, NO LINKS FAKE ANSWERS WILL GET REPORTED. Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.
Answers
Answer:
400 cm³
Step-by-step explanation:
The volume of the given figure can be found by using the composite figures present;
We have two simpler figures combined to form the given figure including;
a) A cube
b) A triangular prism
a) The volume of a cube, [tex]V_{cube}[/tex] = Length × Breadth × Height
∴ The volume of the cube, V₁ = 6 cm × 8 cm × 5 cm = 240 cm³
b) The volume of a triangular prism, [tex]V_{prism}[/tex] = Base length × Height × Length
The base length of the triangular prism= 8 cm
The height of the triangular prism = 4 cm
The length of the triangular prism = 5 cm
The volume of the triangular prism, V₂ = 8 cm × 4 cm × 5 cm = 160 cm³
Therefore;
The volume of the figure, V = V₁ + V₂
∴ V = 240 cm³ + 160 cm³ = 400 cm³
The volume of the figure of the finished object, V = 400 cm³.
A survey found the following number of pets in different households.
4, 1, 0, 2, 1, 3, 1
What is the mean absolute deviation for the number of pets?
Answers
Therefore , the solution to the given problem of mean comes out to be the sample size yields the equivalent number of households is 30.
What is mean?Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.
Here,
Given:
Mean = 2
Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.
We can determine that at least
100 (1-1k2)% = 100 (1-1/4)% = 75%
is within 2 standard deviations of the mean using Chebyshev's Rule with
k = 2.
The percentage times the sample size yields the equivalent number of households:
=> 75% x 40 = 30
Therefore , the solution to the given problem of mean comes out to be the sample size yields the equivalent number of households is 30.
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Which expression is equivalent to –3 – 3x – 1 x? 2x – 4 –2x 4 –2x – 4? 4 – 2x
Answers
The expression equivalent to -3 - 3x -1x is 4 - 2x.
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
To get to this you can combine like terms:
-3 - 3x - 1x = -3 - (3x + 1x)
= -3 - (4x)
= -3 - 4x
= -4x - 3
= 4 - 2x
Hence 4 - 2x is equivalent to -3 - 3x -1x
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solve the system:
2x+5y=24
x=y+5
Answers
Answer:
(x,y) = (7,2)
Step-by-step explanation:
Hope it helps