1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svet_ta [14]
3 years ago
10

Which is the best estimate of the correlation coefficient for the scatter plot?

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

The best estimate of the correlation coefficient is 0.9 from the given data.

Step-by-step explanation:

From the scatter plot, the line of best fit will have a positive slope.

So, the correlation coefficient , \rho is greater than 0.

so, \rho ≠ - 0.9

Also, there is a deviation from absolute linearity.

So, \rho ≠ 1

Again from the scatter plot it is closer to linearity than further.

Hence, \rho ≠ 0.3 .

So \rho = 0.9

You might be interested in
Please help. A trapezoid has base measures of 10 and 14 inches and a height of 6 inches. What is the area?
yaroslaw [1]

Answer:

84 in^2

Step-by-step explanation:

Find the area by first finding the average of 10 and 14 (it is 12) and then multiplying this result (12) by 6:  area of trapezoid = 84 in^2.



6 0
3 years ago
You have 500 ft of fencing all rolled up and you want to make a rectangular playground area for your son. What are the dimension
alex41 [277]
The largest area would be a square with 125 ft of fencing on each side.

Hope this helps
6 0
3 years ago
Read 2 more answers
A 11 inch by 8 inch piece of cardboard squares cut out of the corners and is folded up to make up an open-top-box. If the volume
Arada [10]
<h3>Answer:  b. either 2.5 inches or about .716 inches</h3>

=====================================================

Work Shown:

I have attached two images below. The first shows figures 1 through 4. The second image shows figure 5.

Start with figure 1. Work your way left to right, top to bottom til you get to figure 4. This is the basic process to turn a flat piece of cardboard into a 3D folded box.

The dashed lines in figure 1 are x inches long.

Figure 2 is the result of cutting out the dashed lines you see in figure 1.

When you fold along the dashed lines in figure 2, you'll end up with something similar to figure 3.

Figure 4 is the completed open-top-box. In other words, this box does not have a lid.

The green portions in figures 3 and 4 indicate where the flaps used to be in reference to figure 2.

-------------------

Since those dashed lines in figure 1 were x inches long, this means that the distance from A to B is 11-x-x = 11-2x inches long.

This makes segment BD to be 8-2x inches long. We are subtracting off 2 copies of x each time for each dimension.

------------------

length = AB = 11-2x

width = BD = 8-2x

Since we want the length to be positive, this means 11-2x > 0 which solves to x < 5.5

Since we want the width to be positive, this means 8-2x > 0 which solves to x < 4

Overall, we must make x < 4 to make both inequalities 11-2x > 0 and 8-2x > 0 to be true at the same time.

Furthermore, x is some length itself, so it cannot be negative either. Therefore x > 0 or 0 < x

Combine 0 < x and x < 4 to get 0 < x < 4

The restriction 0 < x < 4 will be used later.

------------------

For now, let's compute the volume.

Volume = Length*Width*Height

Volume = (AB)*(BD)*x

Volume = (11-2x)*(8-2x)*x

Volume = (88-22x-16x+4x^2)*x

Volume = (88-38x+4x^2)*x

Volume = 88x-38x^2+4x^3

This is the algebraic way of representing the volume in terms of the cut length x

We want this volume to be 45 cubic inches. We set  88x-38x^2+4x^3 equal to 45 and solve for x

88x-38x^2+4x^3 = 45

4x^3-38x^2+88x-45 = 0

At this point we try to factor by grouping or we turn to a calculator. Cubics are often very difficult to solve by hand, so I recommend using a calculator (unless you can quickly spot how to factor by grouping, but I don't see a quick way of doing that). Note: based on the answer choices that aren't whole numbers (assuming choice C is a non-answer), this heavily implies we do not have rational roots, and therefore factoring over the rationals will be impossible. In other words, the answer choices tell us to immediately use a graphing calculator to find the roots.

Using geogebra (see figure 5), I find the three approximate roots to be

x = 0.716 (shown as point A)

x = 2.5 (point B)

x = 6.284 (point C)

Recall that earlier we made 0 < x < 4. The first two roots satisfy this inequality, but x = 6.284 is outside this range. So we ignore it. It looks like your teacher put 6.284 as a trick answer in choice A.

5 0
3 years ago
Please help! algebra 1 math! whoever gets right is Brainliest! (10 points)
leva [86]

multiply the 2/3 x the 1/6 to get 1/9

 so the original equation can be rewritten as 3^1/9

 this can be rewritten as the 2nd choice 9cubed3

8 0
3 years ago
For what value of c is the relation a function?
nydimaria [60]

Answer:

{ c  ∣  c ≠  2 , 12, -1, 0, c ∈ R }

Step-by-step explanation:

Considering the set

\left\{\left(2,\:8\right),\left(12,\:3\right),\:\left(c,\:4\right),\:\left(-1,\:8\right),\:\left(0,\:3\right)\right\}

As we know that

  • A function is said to be a relation if every x-value has one and only one y-value.

So, the value of c must not be equal to 2, 12, -1, 0 i.e. c ≠ 2, 12, -1, 0

Therefore,

                   { c  ∣  c ≠  2 , 12, -1, 0, c ∈ R }

7 0
3 years ago
Other questions:
  • A rug in the shape of a regular quadrilateral has a side length of 20 ft. What is the perimeter of the rug? a.4 b.5 c.40 d.80
    14·1 answer
  • An apple farmer has planted 0.3 of his orchard with cherry trees. The orchard is 8.59 acres in size. How many acres are planted
    14·1 answer
  • Tate scored 5 points higher on his midterm and 13 points higher on his final than he did his first exam. If his mean score was 9
    6·1 answer
  • PLEASE HELP! WILL UPVOTE!
    14·1 answer
  • Write two expressions that are equivalent to 2(x+4)
    11·2 answers
  • What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents
    13·1 answer
  • At the beginning of spring, Arianna planted a small sunflower in her backyard. When
    5·1 answer
  • Does this graph show a constant or variable rate of change?
    13·1 answer
  • I really need help please!
    15·1 answer
  • Convert the decimal below to a fraction in simplest form.0.645
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!