Examine the Scatterplot and Identify Characteristics of the data that are ignored by the regression line.

x 10 8 13 9 11 14 6 4 12 7 5
y 7.46 6.77 12.74 7.11 7.81 8.84 6.08 5.39 8.5 6.42 5.73

Answers

Answer 1

The regression equation is y =  3.002 + 0.5x and the scatterplot is illustrated.

What is a scatterplot?

It should be noted that a scatterplot simply means a type of data that shows the relationship between two numerical variables.

From the information, summation is X is 99, summation Y is 82.5, summation XY is 797.47, and summation X² is 1001.

Now the value of a will be:

= 82.5 - 1001 - 99 - 797.47/(11.1001 - 99²)

= 3.002

b = (11 × 797.47 - 99 × 82.5)/11.1001 - 99²

= 0.5

The regression equation will be:

y = a + bx.

y = 3.002 + 0.5x

There's positive linear correlation between x and y.

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Examine The Scatterplot And Identify Characteristics Of The Data That Are Ignored By The Regression Line.x

Related Questions

Geometry problem above^^^ In the figure at the right FGH ~ KLJ....

Answers

Answer:

x = 12

y = 4.5

Step-by-step explanation:

Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:

[tex] \frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ} [/tex]

[tex] \frac{9}{y} = \frac{x}{6} = \frac{6}{3} [/tex]

✔️Let's solve for x using:

[tex] \frac{x}{6} = \frac{6}{3} [/tex]

Multiply both sides by 6

[tex] \frac{x}{6}*6 = \frac{6}{3}*6 [/tex]

[tex] x = \frac{6*6}{3} [/tex]

[tex] x = 12 [/tex]

✔️Solve for y using:

[tex] \frac{9}{y} = \frac{6}{3} [/tex]

Cross multiply

[tex] y*6 = 3*9 [/tex]

6y = 27

y = 27/6

y = 4.5

Vitamin D is important for the metabolism of calcium and exposure to sunshine is an important source of vitamin D. A researcher wanted to determine whether osteoperosis was associated with a lack of exposure to sunshine. He selected a sample of 250 women with osteoperosis and an equal number of women without osteoperosis. The two groups were matched - in other words they were similar in terms of age, diet, occupation, and exercise levels. Histories on exposure to sunshine over the previous twenty years were obtained for all women. The total number of hours that each woman had been exposed to sunshine in the previous twenty years was estimated. The amount of exposure to sunshine was compared for the two groups.

Required:
a. Determine whether this is a controlled experiment or an observational study.
b. Identify the treatment variable.

Answers

Answer:

Vitamin D and Osteoporosis

a. This is an observational study.  The researcher is trying to observe the two groups of women who suffer from osteoporosis.  She did not apply any treatment on any group, as is the case with experimental researches.

b. The treatment variable is the amount of exposure to sunshine.

Step-by-step explanation:

This study is an observational research because the researcher lacks the control over the variables, especially the amount of exposure to sunshine.  She is merely observing what has occurred previously.  On the other hand, an experimental study will involve the application of some treatments to one group of women and then the recording of the effects.  But in this case, the researcher merely recorded the effects that had occurred without applying any treatment to any group.

Which of the expressions below is greater than 100? Select all that apply.

A) 41.588 + 48.112
B) 25.768 + 77.312
C) 93.546 + 7.015
D) 297.354 – 195.81
E) 112.457 – 11.982

Answers

Answer:

The answer is b, c, d and e

Noah bought 3 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting his house, he divided the additive equally among the 3 cans of paint. How much additive did he put in each can?

Answers

Step-by-step explanation:

Amount of additive in each can

= Total amount of additive / Number of cans

= (1/2 of a pint) / (3)

= 1/6 of a pint.

Noah put 1/6 of a pint of additive in each can.

[tex]3(x+2)^2-6=21[/tex]

Answers

Oh that’s simple you subtract 6 and 3 and 2 from 21 making 10 so 10 is your ancer

Theresa has $708 in her account and wishes to throw a party. She plans to include the following:

Purchase
Cost ($)
Decorations
76.92
Catering
150.66
Musicians
242.15
Refreshments
123.36
Venue
260.47

When Theresa makes the calculations, she finds that she cannot afford everything that she would like to have. What is the cheapest aspect of the party that she can eliminate to keep from overdrawing her account?

Answers

Answer:

Get rid of catering with everything u are in debt by 145.56 so get rid of catering and u r good

Step-by-step explanation:

Question 5 of 5 0 3 4 5 6 7 8 9 10 Which of the following could be the number shown on the number line? O A A. V20 OB. √24 C. 27 D. 26​

Answers

Answer:

hi may u send a pic?

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

With every number starting with 2 count the number line up it doesn't past 5 or on 5 so it's not 5. It's past 4 so whats your answer?

Solve each proportion 2/r=12/18

Answers

Answer:

r = 3

Step-by-step explanation:

starting with

2 / r = 12 / 18. we cross multiply

18 * 2 = 12 * r

36 = 12 * r

and divide by 12 to isolate "r"

36 / 12 = r

Then r = 3

i was going to answer but so

The graphs below have the same shape. What is the equation of the blue graph? 

Answers

Answer:

c

Step-by-step explanation:

The first equation of a system of equations is y = -3x + 2. The graph of the system has no solution. Write a possible second equation for the system.

Answers

Answer:

see below.

Step-by-step explanation:

For a system of equation to not have a solution, the pair of lines will never intersect. For two lines to never intersect, their slopes will be parallel.

The second equation can be as simple as y = -3x.

The only equation it cannot be with a slope of -3 is y = -3x + 2. This is because that is the same equation and will therefore have an infinite number of solutions.

√ 3 x + 4 = √ 3 x + 4 3 x + 4 = 3 x + 4

Answers

¥£ß ¥œü fæbúłøûß pęršœñ

Answer

Step-by-step explanation: =/

Select all expressions that are equivalent to 64^2/3

Answers

Answer:

16

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Select the correct answer. What is the solution to the equation?
square root of x-3 + 1 = 6
64
46
28
22​

Answers

Answer:

Correct answer is 28

Step-by-step explanation:

The solution to the equation is 8.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

x - 3 + 1 = 6

Solve for x.

x - 2 = 6

x = 6 + 2

x = 8

We can cross-check.

x - 3 + 1 = 6

8 - 3 + 1 = 6

9 - 3 = 6

6 = 6

True

Thus,

The solution is 8

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Suppose you want to study the relationship between smoking and cancer. You assume that smoking is a cause of cancer. Studies have shown that there are many factors affecting this relationship, such as the number of cigarettes or the amount of tobacco smoked every day; the duration of smoking; the age of the smoker; dietary habits; and the amount of exercise undertaken by the individual. All of these factors may affect the extent to which smoking might cause cancer. These variables may either increase or decrease the magnitude of the relationship. Which statement is false?

a. In the above example cancer is the dependent variable.
b. In the above example cancer is an independent variable.
c. In the above example the extent of smoking is an independent variable.
d. In the above example all the variables that might affect the relationship between smoking and cancer, either positively or negatively, are extraneous or mediating/moderating variables.

Answers

Answer:

The correct answer is:

In the above example cancer is an independent variable. (b)

Step-by-step explanation:

In order to explain the choice made, let m first explain what independent and  dependent variables are:

Independent variable: An independent variable is a variable that is under the direct control of the experimenter, and can be changed at will. In this example, the number of cigarettes or amount of tobacco smoked is the independent variable because it can be manipulated at will, to determine the outcome of the dependent variable.

Dependent variable: A dependent variable is a variable that the experimenter sets out to study. The independent variable is not under the direct manipulation of the experimenter but has values that come about as a result of the change of the independent variable. In this example, cancer is the dependent variable, because it is the result of the manipulation of the amount of tobacco.

Therefore, it is not true to say that cancer is the independent variable as seen in option b

What number is missing from this factor tree for the prime factorization of 328?

A. 39
B. 41
C. 42
D. 82

Answers

answer B. 41

328
/ \
2 164
/ \
2 82
/ \
2 41

Answer: Your Answer Is A) 41

Step-by-step explanation:

             328

              ^

          2 x 164

              ^

          2 x 82

              ^

          2 x 41

I am having trouble on figuring out how to write this out to solve it. ​

Answers

The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign

the formula may be h^2x h squared x for expanding using sum/difference

... me no like math...

Answers

Answer:

i got 61.27

Step-by-step explanation:

quater circumference [tex]=\frac{3.14 * 22}{4}[/tex]

                                      = 17.27

20+2+2+(20-11)+11+17.27 = 61.27

find the area of the trapezium whose parallel sides 24 cm and 20 cm and the distance between them is 15 cm.​

Answers

Answer:

330

Step-by-step explanation:

A=a + b / 2 x h

a = 24, b = 20, h = 15

24 + 20 divided by 2 times 15

44 divided by 2 time 15

22 times 15 = 330

Which line is the line of reflection?

Answers

Answer:

b

Step-by-step explanation:

because those two triangles are face to face

Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.

Answers

Answer: 5

Step-by-step explanation: edge 2021

You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.

The first equation should be multiplied by the constant 5

How to choose what quantity to multiply the first equation?

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as  [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

Using above method for getting the needed constant

The system of equation we've got is

[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]

Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]

The resultant system of equation we will get is:

[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]

Thus,

The first equation should be multiplied by the constant 5

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The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that 51% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 47%. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

hope this helps!!                        

mark me brainlist? this took a lil bit

What is the surface area of a regular square pyramid with a slant height of 12 cm in a lateral edge of 13 cm?

Answers

Answer:

340 cm squared

Step-by-step explanation:

[tex]l=2\sqrt{13^{2} -12^{2} }=10cm[/tex]

[tex]A=l^{2} +2l*h\\10*10+2*10*12=340cm^{2}[/tex]

find the Sum and the product
of the root of the Equadration
1/3and 2/3​

Answers

Answer:

sorry do not know

Step-by-step explanation:

.

Answer:

9x² - 9x +2

Step-by-step explanation:

general formula =x²-(sum of roots)x+(product of roots)

The volume of a cone-shaped hole is 1471 ft. If the hole is 9 ft deep, what is the radius of the hole



Please don’t put random numbers i just want the answer, I’ll make you brainliest

Answers

The volume πr^2*height/3=1471

π*r^2=1471/9*3

π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)

r^2=490.33/3.14(taking 3.14 for pi)=about 156.16

r= sqrt 156.16=about 12.5

Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!

Which graph shows u + v for the given vectors u and v?

Answers

Answer:

The answer is A

Step-by-step explanation:

When you move v's tail to u's head, you see that the vectors align up.

The graph shows (u + v) for the given vectors u and v will be Graph A.

What is vector ?

A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

We have,

Four graphs and we have to tell which is the correct graph for (u + v).

So,

To add two vectors, add the corresponding components.

i.e. The sum of u and v  vector = ( u₁ + v₁, u₂ + v₂)

i.e.

Let u = (u₁, u₂)  and

v = (v₁, v₂)

Now,

(u + v) = ( u₁ + v₁, u₂ + v₂)

So,

From Graph A,

We have,

u = (1, 4) and v = (2, -2)

i.e.

u₁ = 1,

u₂ = 4,

v₁ = 2,

v₂ = -2

So,

Using the addition method of vector,

i.e.

(u + v) = ( u₁ + v₁, u₂ + v₂)

Substituting values,

(u + v) = [( 1 + 2), (4 + (-2))]

We get,

(u + v) = (3, 2)

So,

The graph A represents the correct points of (u +v).

Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.

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Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?

ANSWERS ARE:

2/3<1/2; I used 1/2 as a benchmark.
1/2=3/5; I used 1/4 as a benchmark.
2/3<9/10; I used 3/4 as a benchmark.
3/4<2/3; I used 1/2 as a benchmark.

Answers

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

Help needed with this as soon as possible

Answers

Answer:

1

Step-by-step explanation:

g(-3)=-2(-3)²+3(-3)

      =-18-9

      =-27

what is two plus eight

Answers

Answer:

2 + 8 = 10

Step-by-step explanation:

Hope it helps you!

Answer:

10 is the answer

Step-by-step explanation:

Please help, Dont guess :) will mark brainliest

Answers

Answer:

43 1/2

Step-by-step explanation:

The formula to find the area of a triangle is multiplying base times height divided by 2.

So we have 3+3+3 (which is the base) times height. Finally we have: 9 x 11, which is 99 and now we divide it by 2. So 99/2 = 49 1/2.

Now we subtract the missing rectangle, which we can find by multiplying 3 by 2, which is 6.

So now subtract 6 from 49 1/2, and you'll get 43 1/2.

Answer:

43.5

Step-by-step explanation:

(( I will be using "*" as a multiplication sign ))

Area of rectangle = length * width = 3 * 2 = 6

Area of triangle = 1/2 bh = 1/2(11*9) = 1/2 of 99 = 99 divided by 2 = 49.5

So, since we are taking away the rectangle from the triangle, we will subtract the area of the rectangle from the triangle.

49.5 - 6 = 43.5

If you have any question please message me or comment

Three years ago A's age was double of B's
age. Seven years hence, the sum of their
ages will be 83 years. Find the present
age of A?​

Answers

Answer:

present Age of " A " will be (x) = 45 years

present Age of " B " will be (y) = 24 years

Step-by-step explanation:

Age of " A " = x years

Age of " B " = y years

(Three years ago A's age was double of B's age.)

==> (x-3) = 2 * (y-3)

==> x - 2y = -6 + 3

==> x - 2y = -3 -------------(1)

(Seven years hence, the sum of their ages will be 83 years )

==> (x+7)+(y+7) = 83

==> x + y = 83 - 14

==> x + y = 69 ------------(2)

Subtract equ.(1) & equ(2)

==> -2y - y = -3 - 69

==> -3y = -72

==> y = -72/(-3)

==> y = 24

Keep value of y in equ(2)

==> x + 24 = 69

==> x = 69 - 24

==> x = 45

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