What is the equation of exponential regression equation? Round all numbers you your answer to three decimal places
Answers
Given:
The given values are:
[tex]a=0.2094539899[/tex]
[tex]b=2.507467975[/tex]
[tex]r^2=0.9435996398[/tex]
[tex]r=0.9713905701[/tex]
To find:
The exponential regression equation for the given values (Rounded to three decimal places).
Solution:
The general form of exponential regression equation is:
[tex]y=a\cdot b^x[/tex] ...(i)
Where, a is the initial value and b is the growth/decay factor.
We have,
[tex]a=0.2094539899[/tex]
[tex]b=2.507467975[/tex]
Round these numbers to three decimal places.
[tex]a\approx 0.209[/tex]
[tex]b\approx 2.507[/tex]
Substitute [tex]a=0.209, b=2.507[/tex] in (i) to find the exponential regression equation.
[tex]\hat{y}=0.209\cdot 2.507^x[/tex]
Therefore, the correct option is C.
Related Questions
If the graph of f(x)=x^2, how will the graph be affected if it is changed to f(x)=1/3x^2?
Answers
Answer:
The graph would be compressed vertically by a factor of 1/3.
Step-by-step explanation:
Multiplying a function by some constant is a way to stretch or compress that function. If the magnitude of the constant is greater than 1, you are vertically stretching, if the magnitude of the constant is less than one but greater than 0 you are vertically compressing your function.
On average, 240 customers arrive at a bank every morning (8AM - noon), but they do so randomly (i.e., not exactly every minute). There is a single line at the bank after which a customer goes to one of the five bank tellers. A bank teller takes on average 3 minutes to help a customer, with a standard deviation of 1.5 minutes. How long does a customer spend in this bank on average?
Answers
Every morning there are expected 240 customers who arrive at bank for the customer service.
There are on average 240 customers arriving to the bank every morning.
There are total 5 bank tellers and they take average 3 minutes to help customer.
The average time each bank teller spends on satisfying a customer will be calculated using the linear model,
Using wait time calculator:
Average service time / standard deviation
Ce = 3/1.5 = 2
The spent time on a customer is 3.4 minutes.
Learn more at https://brainly.com/question/24379767
Answer:
Customers spend 3.4 minutes in the bank on average.
Step-by-step explanation:
The customer arrives at the bank every morning. There is a line at bank goes to 5 bank teller. The customer takes 3 minutes with a 1.5-minute standard deviation.
The customer = 240
Time = 3
Where R = (240/4)
=60/hr
Where CVa = 1
Please answer all of these
Answers
Answer:
1a 300
b 180
c 330
d 1470
e 180
f 7344
Step-by-step explanation:
a new automobile cost 11300 which is 100 more than 25 times a certain number what is the number
Answers
Answer:
The number is 448.
Step-by-step explanation:
Hope it helps
Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? Use a significance level of α=0.01
Answers
It does not appear that police can use a shoe print length to estimate the height of a male.
The given parameters are:
[tex]\begin{array}{cccccc}{Shoe\ Print} & {28.6} & {29.4} & {32.2} & {32.4} & {27.3} \ \\ Height (cm) & {172.5} & {176.7} & {188.4} & {170.1} & {179.2} \ \end{array}[/tex]
Rewrite as:
[tex]\begin{array}{cccccc}{x} & {28.6} & {29.4} & {32.2} & {32.4} & {27.3} \ \\ y & {172.5} & {176.7} & {188.4} & {170.1} & {179.2} \ \end{array}[/tex]
See attachment for scatter plot
To determine the correlation coefficient, we extend the table as follows:
[tex]\begin{array}{cccccc}{x} & {28.6} & {29.4} & {32.2} & {32.4} & {27.3} & y & {172.5} & {176.7} & {188.4} & {170.1} & {179.2} & x^2 & {817.96} & {864.36} & {1036.84} & {1049.76} & {745.29} & y^2 & {29756.25} & {31222.89} & {35494.56} & {28934.01} & {32112.64} & x \times y & {4933.5} & {5194.98} & {6066.48} & {5511.24} & {4892.16} \ \end{array}[/tex]
The correlation coefficient (r) is:
[tex]r = \frac{\sum(x - \bar x)(y - \bar y)}{\sqrt{SS_x * SS_y}}[/tex]
We have:
[tex]n =5[/tex]
[tex]\sum xy =4933.5+5194.98+6066.48+5511.24+4892.16 =26598.36[/tex]
[tex]\sum x =28.6+29.4+32.2+32.4+27.3=149.9[/tex]
[tex]\sum y =172.5+176.7+188.4+170.1+179.2=886.9[/tex]
[tex]\sum x^2 =817.96+864.36+1036.84+1049.76+745.29=4514.21[/tex]
[tex]\sum y^2 =29756.25+31222.89+35494.56+28934.01+32112.64=157520.35[/tex]
Calculate mean of x and y
[tex]\bar x = \frac{\sum x}{n} = \frac{149.9}{5} = 29.98[/tex]
[tex]\bar y = \frac{\sum y}{n} = \frac{886.9}{5} = 177.38[/tex]
Calculate SSx and SSy
[tex]SS_x = \sum (x - \bar x)^2 =(28.6-29.98)^2 + (29.4-29.98)^2 + (32.2-29.98)^2 + (32.4-29.98)^2 + (27.3-29.98)^2 =20.208[/tex]
[tex]SS_y = \sum (y - \bar x)^2 =(172.5-177.38)^2 + (176.7-177.38)^2 + (188.4-177.38)^2 + (170.1-177.38)^2 + (179.2-177.38)^2 =202.028[/tex]
Calculate [tex]\sum(x - \bar x)(y - \bar y)[/tex]
[tex]\sum(x - \bar x)(y - \bar y) = (28.6-29.98)*(172.5-177.38) + (29.4-29.98)*(176.7-177.38) + (32.2-29.98)*(188.4-177.38) + (32.4-29.98)*(170.1-177.38) + (27.3-29.98) *(179.2-177.38) =9.098[/tex]
So:
[tex]r = \frac{\sum(x - \bar x)(y - \bar y)}{\sqrt{SS_x * SS_y}}[/tex]
[tex]r = \frac{9.098}{\sqrt{20.208 * 202.028}}[/tex]
[tex]r = \frac{9.098}{\sqrt{4082.581824}}[/tex]
[tex]r = \frac{9.098}{63.90}[/tex]
[tex]r = 0.142[/tex]
Calculate test statistic:
[tex]t = \frac{r}{\sqrt{\frac{1 - r^2}{n-2}}}[/tex]
[tex]t = \frac{0.142}{\sqrt{\frac{1 - 0.142^2}{5-2}}}[/tex]
[tex]t = \frac{0.142}{\sqrt{\frac{0.979836}{3}}}[/tex]
[tex]t = \frac{0.142}{\sqrt{0.326612}}[/tex]
[tex]t = \frac{0.142}{0.5715}[/tex]
[tex]t = 0.248[/tex]
Calculate the degrees of freedom
[tex]df = n - 2 = 5 - 2 = 3[/tex]
The [tex]t_{\alpha/2}[/tex] value at:
[tex]df =3[/tex]
[tex]t = 0.248[/tex]
[tex]\alpha = 0.01[/tex]
The value is:
[tex]t_{0.01/2} = \±5.841[/tex]
This means that we reject the null hypothesis if the t value is not between -5.841 and 5.841
We calculate the t value as:
[tex]t = 0.248[/tex]
[tex]-5.841 < 0.248 < 5.841[/tex]
Hence, we do not reject the null hypothesis because they do not appear to have any correlation.
Read more about regression at:
https://brainly.com/question/18405415
The domain of a function is always equal to which one of the following options?
A. all possible output values of the function
B. the range of the function
C. all possible input values of the function
D. all real numbers
Answers
Answer:
C. all possible input values of the function
Step-by-step explanation:
Answer:
C is right
Step-by-step explanation:
domain is f(x)=x^2 is all real numbers but domain g(x)=1/x is all real numbers except for 0 which is x but domains and the rang can be the same also
please help me with this question!
Answers
(4x^5)^3 what is the equivalent?
[A] 4x^5+3
[B] 4x^5*3
[C] 4^3x^5+3
[D] 4^3x^5*3
Answers
Answer:
A
Step-by-step explanation:
They are different exponents but they have the same bas so you add them up.
4x^5+3 = 4x^8
[tex] \pink{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: as \: we \: know \: that \\ \\ \bf\: \: \rightarrow \: {(xy)}^{n} = {x}^{n} . {y}^{n} \\ \\ \bf \rightarrow \: {( {a}^{m} })^{n} = {a}^{m \times n} \\ \\ \bf \: now \\ \: \\ \blue{ {\boxed{\begin{array}{cc} \maltese \bf\: \: \: {(4 {x}^{5} })^{3} \\ \bf = {4}^{3} \times ({x}^{5} )^{3} \\ \bf = {4}^{3} \times {x}^{5 \times 3} \end{array}}}}\end{array}}}}[/tex]
So option D) is the correct answer
Design specifications require that a key dimension on a product measure 100 /- 10 units. A process being considered for producing this product has a standard deviation of four units. a. What can you say (quantitatively) regarding the process capability
Answers
Answer:
0.8333
Step-by-step explanation:
Given :
Mean, X = 100
Lower Specification Limit, LSL = 100 - 10 = 90
Upper Specification Limit, USL = 100 + 10 = 110
Standard Deviation, σ = 4
The process capability index, Cpk;
Cpk = Min[(X - LSL) / 3σ; (USL - X) /3σ]
Cpk = Min[(100 - 90) / 12 ; (110 - 100 ) /12]
Cpk = Min [0.8333 ; 0.8333]
Hence, Cpk = 0.8333
155 ° 35 ° x °
x = ? °
Answers
x=35
vertical opposite angles are equal.
Which number would be rounded UP to the nearest ten but DOWN to the nearest hundred?
A. 232
B. 238
C. 262
D. 268
Answers
Answer:
B
Step-by-step explanation:
Please help please !!!!
Answers
Answer:
[tex]14<15[/tex]
[tex]0<2x+10<62[/tex]
[tex]-10<2x<52[/tex]
[tex]-5<x<26[/tex]
~OAmalOHopeO
Please help me on this
Answers
Answer:
gshwhsye
Step-by-step explanation:
gshshhshshshjsjsjsj
HELP ME OUT !!! im stressing out keep getting it wrong
instructions find HM = 25 and mhm = 66 , find x and y
Answers
Answer:
x=24, y = 33/360 π×24^2/(sin^2(33° (degrees)))
Step-by-step explanation:
notice that x = MK = HM = 24.
Let the center of the circle be C.
Also, notice the radius of the circle can be expressed as the hypotenuse of HMC. Using some trig, we figure out that the radius is 24/sin(33 degrees).
Using the radius of the circle, we can figure out the circumference. The circumference is pi*r^2=(24/sin(33 degrees))^2*pi=pi*24^2/(sin(33 degrees)^2)
Lastly, notice that y = 33/360*circumference = 33/360 π×24^2/(sin^2(33° (degrees)))
hopefully this helped
It takes 12 people 15 hours to complete and certain job.how many hours would it take 18 people, working at the same rate to complete 2/5 of the same job?
Answers
Answer:
2 Hours
Step-by-step explanation:
Required man hours to complete the full job = 12 *15
=180 Man hours
Required man hours to complete the 2/5 of the job = 180/5
= 36 Man hours
if 18 peoples are working,
required hours to complete the 2/5 of the job = 36 /18
= 2 hours
Line K is parallel to line I.
k
m
n
Which angle is congruent to 24?
21
0 22
025
Answers
Answer:
<4 = <1
Step-by-step explanation:
Judging from the picture, <1 and <4 are opposite angles. Opposite angles are always congruent. Hope this helps!
How does the graph of this function compare with the graph of the parent function, y=1/x? It is shifted right 5 units and up 2 units from the parent function. It is shifted left 5 units and up 2 units from the parent function. It is shifted right 5 units and down 2 units from the parent function. It is shifted left 2 units and down 5 units from the parent function. It is shifted right 2 units and up 5 units from the parent function. It is shifted left 2 units and up 5 units from the parent function.
Answers
Answer:
It is shifted left 5 units and up 2 units from the parent function.
Step-by-step explanation:
Given
[tex]y = \frac{1}{x}[/tex]
[tex]y' = \frac{1}{x+5} + 2[/tex]
Required
Compare both functions
First, translate y, 5 units left.
The rule is:
[tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex]y = \frac{1}{x}[/tex]
[tex]y_1 = \frac{1}{x + 5}[/tex]
Next, translate y1, 2 units up.
The rule is:
[tex](x,y) \to (x,y+2)[/tex]
So, we have:
[tex]y' = y_1 + 2[/tex]
[tex]y' = \frac{1}{x + 5} + 2[/tex]
Hence, the transformation is:
5 units left and 2 units up
Answer:
b
Step-by-step explanation:
What is the volume of the cone
Answers
Answer:
The volume of this cone would be approximately equal to 2787.64 [tex]yd.^2[/tex].
Step-by-step explanation:
The formula used to calculate the volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex] where [tex]r[/tex] represents the radius of the circle at the base of the cone, and [tex]h[/tex] represents the vertical height of the cone. In this case, [tex]r[/tex] equals the diameter of the base divided by two, which is [tex]\frac{22}{2}[/tex] or 11 yards; and [tex]h[/tex] is equivalent to 22 yards. Insert these values into the formula and you'll get that the volume of this cone is equal to [tex]11^2*\pi*\frac{22}{3} = 121\pi * \frac{22}{3}[/tex] ≈ 2787.64 [tex]yd.^2[/tex], so that is the correct answer.
Evaluate 2w^2-3w+7 when w=-2
Answers
2(-2)^2 - 3(-2) + 7
2(4) + 6 + 7
8 + 6 + 7
14 + 7
21
The answer is 21.
Hey there!
2w^2 - 3w + 7
= 2(-2)^2 - 3(-2) + 7
(-2)^2
= (-2)(-2)
= 4
= 2(4) - 3(-2) + 7
2(4) = 8
3(-2) = -6
= 8 - (-6) + 7
= 8 + 6 + 7
8 + 6 = 14
14 + 7
= 21
Answer: 21
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12
Answers
Answer:
6,78
Step-by-step explanat
ion:data size :10
Sample mean:15
Standard sample deviation :6,782
Answer:
6,78
Step-by-step explanation:
what is 9 divided by 7
Answers
Answer: 1.28571428571. This number is infinite.
Step-by-step explanation:
Answer:
1.29 rounded
Step-by-step explanation:
A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 1444 in3. How big a piece of cardboard is needed
Answers
Answer:
[tex]C=27inch\ by\ 27inch[/tex]
Step-by-step explanation:
Squares [tex]h=4inch[/tex]
Volume [tex]v=1444in^3[/tex]
Generally the equation for Volume of box is mathematically given by
[tex]V=l^2h[/tex]
[tex]1444=l^2*4[/tex]
[tex]l^2=361[/tex]
[tex]l=19in[/tex]
Since
Length of cardboard is
[tex]l_c=19+4+4[/tex]
[tex]l_c=27in[/tex]
Therefore
Dimensions of the piece of cardboard is
[tex]C=27inch\ by\ 27inch[/tex]
A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate, at most, by 4 miles per gallon. Which of the following absolute value inequalities matches this scenario? Question 23 options: |x + 18| ≤ 4 |x – 18| ≤ 4 |x – 4| > 18 |x + 18| > 4
Answers
Answer:
the correct answer is |x – 18| ≤ 4
just took the test
Step-by-step explanation:
The absolute value inequality equation |2x – 1| > 3 will have what type of solution set?
Answers
Given:
The inequality is:
[tex]|2x-1|>3[/tex]
To find:
The solution set for the given inequality.
Solution:
We know that, if [tex]|x|>a[/tex], then [tex]x<-a[/tex] and [tex]x>a[/tex].
We have,
[tex]|2x-1|>3[/tex]
It can be written as:
[tex]2x-1<-3[/tex] or [tex]2x-1>3[/tex]
Case I:
[tex]2x-1<-3[/tex]
[tex]2x<-3+1[/tex]
[tex]2x<-2[/tex]
[tex]x<\dfrac{-2}{2}[/tex]
[tex]x<-1[/tex]
Case II:
[tex]2x-1>3[/tex]
[tex]2x>3+1[/tex]
[tex]2x>4[/tex]
[tex]x>\dfrac{4}{2}[/tex]
[tex]x>2[/tex]
The required solution for the given inequality is [tex]x<-1[/tex] or [tex]x>2[/tex]. The solution set in the interval notation is [tex](-\infty,-1)\cup (2,\infty)[/tex].
Therefore, the required solution set is [tex](-\infty,-1)\cup (2,\infty)[/tex].
Solve 2x2 – 3x = 12 using the quadratic formula.
Answers
Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a
2x^2 - 3x = 12
2x^2 - 3x - 12 = 0
a = 2
b = -3
c = -12
(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)
3 +/- sqrt( 9 + 96 ) / 4
3 +/- sqrt(105) / 4
Answers: [tex]\frac{3 + \sqrt{105} }{4}[/tex], [tex]\frac{3 - \sqrt{105} }{4}[/tex]
Hope this helps!
Factor the polynomial expression 3x4 + 24x.
Answers
Answer:
3x ( x+2)(x^2−2x+4)
Step-by-step explanation:
3x^4 + 24x.
Factor out the greatest common factor
3x*x^3 + 3x*8
3x(x^3+8)
Then factor the cubic term
The sum of cubes is a^3+b^3=(a+b)(a^2−ab+b^2)
3x ( x+2)(x^2−2x+4)
what is the answer I need help?
Answers
Answer:
8 1/8 units^3
Step-by-step explanation:
This figure is a rectangular prism, and the volume of a rectangular prism is given by the formula:
lwh
But since we have the area of the base snd the height of the figure, there is also one formula that we can use to find the volume:
bh
Which means area of base times the height.
USE THE FORMULA bh:
16 1/4 x 1/2
= 65/4 x 1/2
= 65/8
SIMPLIFIED: 8 1/8
Volume is measured in cubic units
SO YOUR ANSWER IS 8 1/8 units^3
A cricket bat is bought for $330. Later, it is sold with a loss of 15%.
How much is the oricket bat sold for?
After selling the cricket bat, how much money has been last?
Give your answer to two decimal places because it is a currency.
Answers
Answers:
Discount price = 280.50 dollarsAmount lost = 49.50 dollars================================================
Explanation:
If it's sold at a loss of 15%, then the store owner loses 0.15*330 = 49.50 dollars
So it was sold for 330- 49.50 = 280.50 dollars
----------------------------
An alternative method:
If the store owner loses 15%, then they keep the remaining 85% since 15%+85% = 100%.
85% of 330 = 280.50 dollars is the discount price
This means 330-280.50 = 49.50 dollars is the amount lost.
If two bags of popcorn and three drinks cost $14,
and four bags of popcorn and one drink costs
$18, how much does a drink cost?
Answers
Answer:
2dollars
Step-by-step explanation:
one bag of popcorn is 4 dollars so 4 bags of popcorn is 16 plus 1 drink which is 2 dollars equal 18.
The cost of each popcorn is $4 and the cost of each drink will be $2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
If two bags of popcorn and three drinks cost $14, and four bags of popcorn and one drink costs $18.
Let the cost of each popcorn be 'x' and the cost of each drink be 'y'. Then the equations are given as,
2x + 3y = 14 ...1
4x + y = 18 ...2
From equations 1 and 2, then we have
2x + 3(18 - 4x) = 14
2x + 54 - 12x = 14
10x = 40
x = $4
Then the value of the variable 'y' is calculated as,
y = 18 - 4(4)
y = 18 - 16
y = $2
The cost of each popcorn is $4 and the cost of each drink will be $2.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Which matrix equation represents the system of equations?
{-x+ 2y = 0
y= -2
Answers
We are given a system of equations,
[tex]\begin{cases}-x+2y=0\\y=-2\\ \end{cases}[/tex]
This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),
[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}[/tex]
The matrix will then be applied to the vector (lower dimensions on top),
[tex]\begin{bmatrix}x\\y\\ \end{bmatrix}[/tex]
And the result vector will be whats on the other side of equals sign,
[tex]\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]
So to put everything together,
[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}\begin{bmatrix}x\\y\\ \end{bmatrix}=\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]
Hope this helps :)
