A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711 , the explained variation is 18.592 , and the unexplained variation is 2.119 . Find the coefficient of determination.

Answers

Answer 1

Answer:

0.898

Step-by-step explanation:

The formula for the Coefficient of determination = ratio of explained variation to Total variation

From the above question, we have the following values

Explained variation = 18.592

Total variation = 20.711

The coefficient of determination = 18.592 : 20.711

= 18.592/20.711

= 0.8976872194

Approximately ≈ 0.898

Therefore, the coefficient of determination is 0.898


Related Questions

Two pence coins are used to make a square. If one millioncoins were used, what would be the length of the sides of the square?
How many square metres would these one million coins cover?
(The diameter of a 2p coin is 25mm to the nearest millimetre.

Answers

Answer:

i dont know the answer

Step-by-step explanation:

just put a random answer and hope for the best

Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What percent of people who write this exam obtain scores between 350 and 650?

Answers

Answer:

86.64%

Step-by-step explanation:

We solve for the above question using z score formula

z score formula = z = (x - μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = 350, μ = 500, σ = 100

z score = 350 - 500/100

= -150/100

= -1.5

Using the z score for normal distribution

Probability (z = -1.5) = P(x = 350).

= 0.066807

For x = 650, μ = 500, σ = 100

z score = 650 - 500/100

= 150/100

= 1.5

Using the z score for normal distribution

Probability (z = 1.5) = P(x = 650).

= 0.93319

The probability of people who write this exam and obtain scores between 350 and 650

P < 350 < x < 650 = P(x ≤ 650) - P(x ≤ 350)

= P(z = 1.5) - P(z = -1.5)

= 0.93319 - 0.066807

= 0.866383

Therefore, the percent of people who write this exam and obtain scores between 350 and 650 is

0.866383 × 100

= 86.6383%

Approximately ≈ 86.64%

Solve 5g = 20



Please and thank u

Answers

Answer:

g = 4

Step-by-step explanation:

5g = 20

Divide each side by 5

5g/5 = 20/5

g = 4

Answer:

g= 4

Step-by-step explanation:

5g = 20

5g /5 = 20 /5

g =4

Complete the following table using the equation:
y = 2x^2

Plot the points on a graph and determine which graph best represents the equation.
Graph A

Answers

Answer:8,2,0,2,8; Graph A

Step-by-step explanation:

The graph of the given equation best represents a parabola.

What is the graph of an equation?

A graph represents the nature of the equation graphically by plotting the points of it.

Given, y = 2x²

For x = - 2, y = 2(- 2)² = 8

For x = - 1, y = 2(- 1)² = 2

For x = 0, y = 2(0)² = 0

For x = 1, y = 2(1)² = 2

For x = 2, y = 2(2)² = 8

Therefore, the given table will be:

x  - 2   - 1   0   1   2

y    8     2   0  2   8

By plotting the graph, it is clear that, the graph best represents a parabola.

Learn more about the graph of an equation here: https://brainly.com/question/4047677

#SPJ2

Will GIVE 75 POINTS PLZ HELP!!!
Joey owns a small bakery and today Phoebe has ordered 100 cookies. If Joey boxes the cookies by the dozen, which of the following equations describes how many boxes of cookies Phoebe will have? Let b represent the number of boxes. (HINT: All of the cookie boxes are not necessarily full.)
A. 100 = b/12
B. 12b + 4 = 100
C. 12b = 100 – 4
D. 100/b = 12
E. (100-4)/12=b-1
F. 12 + b = 100

Answers

Answer:

A

Step-by-step explanation:

Solve the equation 3(x + 1) − 2 = x + 5.

Answers

the answer would be x=2

Answer:

X=2

Step-by-step explanation:

First, distribute the 3 to get

3x+3-2=x+5

Solve for 3-2 to get

3x+1=x+5

subtract 1 from both sides to get

3x=x+4

subtract x from both sides to get

2x=4

divide both sides by 2 to finalily get

x=2

Find the sum of x^2 + 3x and – 2x^2 +9x + 5.

Answers

Answer:

-x² + 12x + 5

Step-by-step explanation:

Step 1: Write out expression

x² + 3x - 2x² + 9x + 5

Step 2: Combine like terms

-x² + 3x + 9x + 5

Step 3: Combine like terms

-x² + 12x + 5

Answer:

-x² + 12x + 5

Step-by-step explanation:

I WILL GIVE BRAINLIEIST!!

Answers

Answer:

y= -7

Step-by-step explanation:

This line is a horizontal line.

Horizontal lines all have the same form of y=k (where k is the y-intercept of the horizontal line).

The y-intercept is the point where the line meets the y-axis (the vertical axis). For this line, the y-intercept is in between -6 and -8, making it: (0,-7) or just -7.

Let's return to the form for horizontal lines.

y= k

The y-intercept is -7. Substitute -7 in for k.

y= -7

The equation of the line is y= -7

A magnitude 6.7 earthquake struck the SanFernando valley region of Los Angeles in 1994, causing widespread damage. Suppose another region with more active earthquakes and the number of earthquakes in this region is a random variable (binomial) distribution. Use a normal distribution approximation to find standard deviation if the probability is 0.87 that there will be at least 15 earthquakes with mean=17.6.

Answers

Answer: 2.308 .

Step-by-step explanation:

Let X denotes the number of earthquakes in SanFernando valley region of Los Angeles in 1994.

Given: [tex]\mu=17.6[/tex]

Probability is 0.87 that there will be at least 15 earthquakes .

i.e. [tex]P(X\geq15)=0.87[/tex]

[tex]\Rightarrow\ P(\dfrac{X-\mu}{\sigma}\geq\dfrac{15-17.6}{\sigma})=0.87\\\\ \Rightarrow\ P(Z\geq\dfrac{-2.6}{\sigma})=0.87\ \ \ [Z=\dfrac{X-\mu}{\sigma}][/tex]

Z-value corresponding to p-value 0.87 is -1.1263 .

So, [tex]\dfrac{-2.6}{\sigma}=-1.1263[/tex]

[tex]\sigma= \dfrac{-2.6}{-1.1263}\approx2.308[/tex]

Hence, the required standard deviation = 2.308 .

A highway sign in Canada gives the speed limit as 100 kilometers per hour. If you are driving 62 miles per hour are you driving under the speed limit? (1mi=1.6km)

Answers

As we know that 1 mile=1.6km

then,

62 miles=62*1.6km

=99.2km/hour

so, yes we are driving under the speed limit.

Answer:

Yes

Step-by-step explanation:

Convert 62 mph to kph by multiplying it by 1.6

62(1.6)

= 99.2

Yes, you are driving under the speed limit

PLease help i dont know how to do this please explain too!!

Answers

Answer:

6.25

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides.

For a rectangle, it's the two widths plus the two heights.

P = 2W + 2H

Plugging in values:

52 = 2(3x − 1) + 2(x + 2)

52 = 6x − 2 + 2x + 4

52 = 8x + 2

50 = 8x

x = 6.25

Given:-

Length = ( 3x - 1 ) inches

Breadth = ( x + 2 ) inches

Perimeter of rectangle = 52 inches

To find out:-

Find the value of x.

Formula used:-

Perimeter of rectangle = 2 ( l + b )

Solution:-

We know that,

Perimeter of rectangle = 52 [ Given ]

⇒ 2 ( l + b ) = 52

⇒ 2 ( 3x - 1 + x + 2 ) = 52

⇒ 2 ( 4x + 1 ) = 52

⇒ 8x + 2 = 52

⇒8x = 52 - 2

⇒ 8x = 50

⇒ x = 50/8

⇒ x = 6.25 inches

Evaluate the expression. 202 + 6(9 + 3)

Answers

Answer:

= 274

Step-by-step explanation:

202 + 6(9 + 3)

= 202 + 9 * 12

= 202 + 72

= 274

Answer:

Its is actually 472

Step-by-step explanation:

23×99×90+54+23-12321
answer please​

Answers

Answer:

[tex]192686[/tex]

Step-by-step explanation:

23×99×90+54+23-12321

=2277×90+54+23-12321

=204930+54+23-12321

=204984+23-12321

=205007-12321

=192686

Answer:

192686 is answer.

Step-by-step explanation:

= 23*99*90+54+23-12321

= 204930 +77-12321

= 205007 -12321

= 192686.

can some one plzz answer this fastttttt plzzz​

Answers

Answer:

Please see attached picture

hope it helped you:)

Rhonda is building a rectangular patio. The perimeter of the patio is to be 96 feet. Determine the dimension of the patio if the length is to be 6 feet less than twice the width

Answers

Answer:

Length= 30 ft

Width= 18ft

Step-by-step explanation:

The perimeter of the rectangular patio is to be 96 feet.

the length is to be 6 feet less than twice the width

Perimeter=2(length+width)

But

Length= 2(width)-6

Substituting in perimeter equation

Perimeter=2(length+width)

Perimeter=2((2(width)-6)+width)

Perimeter= 96 feet

Let width= x

Perimeter=2((2(width)-6)+width

96=2((2(x)-6)+x)

96= 4x-12+2x

108= 6x

18= x

Width= 18ft

Length= 2(width)-6

Length= 2(18)-6

Length= 36-6

Length= 30 ft

How are I supposed to do this ?

Answers

Answer:

Step-by-step explanation:

1. binomial polynomial

2. 2 terms

3. 4 is the constant term

4. - 1/10 x^3 is the leading term

5. -1/10 is the leading coefficient.

Please help ASAP. Worth 50 points

Answers

Answer:

the anser is 9.5+1.5n and the second ansr is 48x+16

Answer:

a

Step-by-step explanation:

A student measures the mass of an 8 cm 3 block of brown sugar to be 12.9 g. What is the density of the brown sugar?

Answers

Answer:

[tex]\huge\boxed{\rho=1.6125\dfrac{g}{cm^3}}[/tex]

Step-by-step explanation:

The formula of a density:

[tex]\text{density}=\dfrac{mass}{volume}\Rightarrow\rho=\dfrac{m}{V}[/tex]

We have

[tex]\text{mass}\ m=12.9g\\\\\text{volume}\ V=8cm^3[/tex]

Substitute:

[tex]\rho=\dfrac{12.9g}{8cm^3}=\dfrac{12.9\cdot10}{8\cdot10}\dfrac{g}{cm^3}=\dfrac{129}{80}\dfrac{g}{cm^3}=1.6125\dfrac{g}{cm^3}[/tex]

The the density of the brown sugar is equal to [tex]1.6125 \;g/cm^3[/tex]

Given the following data:

Volume = 8 [tex]cm^3[/tex]Mass = 12.9 grams

To find the density of the brown sugar;

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, the density of a substance is given by the formula;

[tex]Density = \frac{Mass}{Volume}[/tex]

Substituting the values into the formula, we have;

[tex]Density = \frac{12.9}{8}[/tex]

Density =  [tex]1.6125 \;g/cm^3[/tex]

Therefore, the the density of the brown sugar is equal to [tex]1.6125 \;g/cm^3[/tex]

Find more information: brainly.com/question/5995838

pls help im stuck on this

Answers

Answer: Choice C

The -2/5 means we go to the left 2/5 of a full unit. So we take 2 small little steps (going over 2 little tickmarks), then we move 4 small steps to the right due to the +4/5 portion. Ultimately, we end up at 2/5 as the answer

So -2/5 + 4/5 = 2/5

This can be thought of as -2+4 = 2, then you just stick 5 in the denominator for each term.

If 7x + 4 = -19 + 5x, then 2x – 14 equals
A-23
B 23
C-37
D-14​

Answers

Answer:

C

Step-by-step explanation:

Here we have the question,

7x+4 = -19 + 5x

Now we add 19 to both sides,

7x + 4 + 19 = -19 + 19 + 5x

7x + 23 = 5x

Now we subtract 7x from both sides,

23 = -2x

We divide -2 from both sides,

x = -23/2

Now we plug this in into 2x - 14,

2(-23/2) - 14 = -23-14 = -37

Our answer is C

Translate the figure 1 unit left and 2 units up.
Draw a vector from the origin 1 unit left and 2 units up.

I need help asap

Answers

Answer:

Hey there!

The correct answer would be a line from (0, 0) to (-1, 2)

Let me know if this helps :)

Harper deposited $110 into a savings account that earns 3.5% interest a year. The function (R)t models the amount of money Raymond has in his savings account as a function of time (t) in years. R(t)=110(1.025)^t How much more money will Harper have in his savings account than Raymond after two years? A: $2.26 B: $7.83 C: $5.57 D: $3.37

Answers

Answer:

  A.  $2.26

Step-by-step explanation:

An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...

  H(t) = 110(1.035)^t

For t = 2, the two balances will be ...

  H(2) = 110(1.035^2) = 117.83

  R(2) = 110(1.025^2) = 115.57

The difference is ...

  $117.83 -115.57 = $2.26

Harper's account will have $2.26 more.

_____

As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.

The measures of the angles of a triangle are in the ratio 2 : 3 : 4. The simplified ratio of the measures of the exterior angles of the triangle is a : b : c. Find a + b + c.

Answers

Answer:

Step-by-step explanation:

2x+3x+4x=180 degrees

9x=180 fdegrees

x=180/9

x=20

2x=40

3x=60

4x=80

Answer:

18

Step-by-step explanation:

The measures of the angles of a triangle are in the ratio 2:3:4 means we have one interior angle measuring 2x, another measuring 3x, and the last one measuring 4x. We know the sum of the measures of the interior angles of a triangle is 180 degrees.

We need to solve the following equation to find first x, and then find the measurement of each interior angle of the triangle.

2x+3x+4x=180

(2+3+4)x=180

(9)x=180

x=180/9

x=20

So one interior angle measures 2x=2(20)=40.

Another measures 3x=3(20)=60.

The last measuring 4x=4(20)=80.

The exterior angles of this triangle therefore measure the following:

180-40=140

180-60=120

180-80=100

So the un-simplified ratio of the measures of the exterior angles is as follows:

140:120:100.

Let's simplify that.

It is easy to see each number is divisible by 10.

Let's reduce it by dividing each by 10:

14:12:10

Let's simplify more (as we want the most simplified ratio).

Each number is divisible by 2 since they are all even.

Let's reduce again but not by dividing by 2:

7:6:5

So the simplified ratio of the measures of the exterior angles of the triangle is a:b:c=7:6:5 and so a+b+c=7+6+5=18.

Answer is 18.

HELP PLEASE ASAP !!!!


-3h -6(5h/3 + 7/2) +9h = -53



Find the value for h.

Answers

Answer: h= 8

Step-by-step explanation:

-3h - 6(5h/3 + 7/2) + 9h = -53   Distribute on the left

-3h - 10h - 21 + 9h = -53   combine like terms  on the left side

-4h -21 = -53          Now add 21 to both sides

      +21    +21

-4h = -32               Divide both sides by -4

h = 8

x^2 -9 divided by x+3

Answers

Answer:

x-3

Step-by-step explanation:

x²-9÷x+3=x-3

Please Help. Will give brainlleast.

Answers

Answer:

  (-1, 0), (-1, -5)

Step-by-step explanation:

The initial translation transformation was ...

  (x, y) ⇒ (x +4, y)

Then the reflection across the line y=x added the transformation ...

  (x, y) ⇒ (y, x)

So, the result of the composition of transformations was ...

  (x, y) ⇒ (y, x+4)

Then the reverse transformation, the one that gets from the image back to the pre-image, will be ...

  (y, x+4) ⇒ (x, y)

  (x, y) ⇒ (y-4, x)

The points A", B", C", D" will be transformed back to pre-image points ...

  A"(-4, 5) ⇒ A(1, -4)

  B"(-1, 5) ⇒ B(1, -1)

  C"(0, 3) ⇒ C(-1, 0) . . . . . . matches an answer choice

  D"(-5, 3) ⇒ D(-1, -5) . . . . . matches an answer choice

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.2 per year. a. Find the probability that, in a year, there will be 5 hurricanes. b. In a 35-year period, how many years are expected to have 5 hurricanes? c. How does the result from part (b) compare to a recent period of years in which years had hurricanes? Does the Poisson distribution work well here?

Answers

Answer: Try to use socratic

Step-by-step explanation:

2564.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.

Answers

Answer:

We conclude that the board's length is equal to 2564.0 millimeters.

Step-by-step explanation:

We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.

Let [tex]\mu[/tex] = population mean length of the board.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 2564.0 millimeters    {means that the board's length is equal to 2564.0 millimeters}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 2564.0 millimeters      {means that the boards are either too long or too short}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                             T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s }{\sqrt{n}} }[/tex]  ~  [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean length of boards = 2559.5 millimeters

            s = sample standard deviation = 15.0 millimeters

             n = sample of boards = 26

So, the test statistics =  [tex]\frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }[/tex]  ~   [tex]t_2_5[/tex]

                                     =  -1.529    

The value of t-test statistics is -1.529.

Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the board's length is equal to 2564.0 millimeters.

Classify the number 0 by listing all the sets of numbers to which it belongs

Answers

Answer:

0 belongs to the set of whole number,set of rational numbers,set of real numbers and integers

Step-by-step explanation:

2-(3x2)➗6 solve this asap pls (I just need the number) ty <3

Answers

Answer:

1

Step-by-step explanation:

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