Select the FALSE statement about the correlation coefficient (r).

a. The value of the correlation coefficient lies between-1 and 1.
b. The sign of the correlation coefficient tells us if the pair of variables is positively or negatively associated.
c. The correlation coefficient r = 0 shows that two variables are strongly correlated.
d. The correlation coefficient quantifies the strength of the linear relationship between two variables.

Answers

Answer 1

Answer:

C.

Step-by-step explanation:

Scatterplots with weak correlation coefficients are values near zero

Answer 2

The false statement about the correlation coefficient is r = 0 shows that two variables are strongly correlated.

What is Correlation?

A statistical metric known as correlation illustrates how closely two variables are connected and how they tend to move in tandem. When two variables are positively correlated, they move in the same direction, and when they are negatively correlated, they move in the opposite way. To determine the degree and direction of the association between two variables, a correlation coefficient is utilized.

A correlation coefficient of -1 indicates a perfect negative correlation, a correlation coefficient of 1 indicates a perfect positive correlation, and a correlation coefficient of 0 indicates no correlation between the two variables.

Given data ,

The FALSE statement is:

c. The correlation coefficient r = 0 shows that two variables are strongly correlated.

A correlation coefficient of 0 means that there is no linear relationship between the two variables. It does not indicate the strength of the relationship.

A value of r = 0 indicates that there is no association between the two variables, whereas a value of r = 1 or r = -1 indicates a perfect positive or negative association, respectively.

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Related Questions

(3, 5), (4, 6), (3, 8), (2, 4), (1, 3), as a mapping

Answers

Answer:

Graph copy is needed..

Step-by-step explanation:

Photo cannot be pinned*

2x-8=6 do addition or subtraction first. then rewrite the new equation and solve.

Answers

Answer:

x = 7

Step-by-step explanation:

2x - 8 = 6              (Given)

2x - 8 + 8 = 6 + 8  (Add 8 on both sides)

2x = 14                  (Simplify)

2x/2 = 14/2           (Divide 2 on both sides)

x = 7                      (Simplify)

Let C be the positively oriented square with vertices (0,0), (3,0), (3,3), (0,3). Use Green's Theorem to evaluate the line integral
∫C 8y^2 x dx + 6x^2 y dy

Answers

Let D denote the region whose boundary is C. By Green's theorem,

[tex]\displaystyle \int_C 8y^2x\,\mathrm dx + 6x^2y\,\mathrm dy = \iint_D \frac{\partial(6x^2y)}{\partial x} - \frac{\partial(8y^2x)}{\partial y} \,\mathrm dx\,\mathrm dy \\\\ = \int_0^3 \int_0^3 (12xy-16yx)\,\mathrm dx\,\mathrm dy \\\\ = -4 \int_0^3 \int_0^3 xy\,\mathrm dx\,\mathrm dy = \boxed{-81}[/tex]


11. Which of the following is an example of a rational number?

Answers

not sure loll…………………..
we need more info to answer this

Keisha bought these supplies for school:



4 packs of pencils that cost $0.85 each
6 packs of pens for $1.25 each


5. What was the total cost of the pencils and pens, including a 6% tax?



A
$13.35
B
$10.90
C
$11.55
D
$2.23
.

Answers

Answer:

C. $11.55

Step-by-step explanation:

First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!

A trip to Lauren’s grandfathers house is 3,074 miles round trip. If the family visits him 4times each year, how many miles do they travel to see him one year ?

Answers

Answer:

12,296

Step-by-step explanation:

The total miles they travel to see him one year is 12,296 miles.

Given that;

A trip to Lauren’s grandfather's house is 3,074 miles round trip.

And, the family visits him 4 times each year.

Used the concept of multiplication which gives,

The total miles they travel to see him one year is.

3,074 × 4

= 12,296 miles

Therefore, the total length of travel to see him in one year is 12,296 miles.

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f(x)=6x^2-1/x^2

1.f(5)=
2.f(-5)=
3.f(-x)=

Answers

Step-by-step explanation:

1. 6(5)^2-1/(5)^2 = 149/25

2. 6(-5)^2-1/25 = -150/25

3. 6x^2-2/x^2

Answer:

[tex]1) \huge\boxed{ \sf f(5) = 5 \frac{24}{25} }[/tex]

[tex]2) \huge\boxed{ \sf f(-5) = 5\frac{24}{25} }[/tex]

[tex]3) \huge\boxed{\sf f(-x) = \frac{6x^2-1}{x^2} }[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x) = \frac{6x^2-1}{x^2}[/tex]

For f(5):

Put x = 5

[tex]\displaystyle f(5) = \frac{6(5)^2-1}{(5)^2} \\\\f(5) = \frac{6(25)-1}{25} \\\\f(5) = \frac{150-1}{25} \\\\f(5) = \frac{149}{25} \\\\f(5) = 5 \frac{24}{25}[/tex]

For f(-5):

Put x = -5

[tex]\displaystyle f(-5) = \frac{6(-5)^2-1}{(-5)^2} \\\\f(-5) = \frac{6(25)-1}{25} \\\\f(-5) = \frac{150-1}{25} \\\\f(-5) = \frac{149}{25} \\\\f(-5) = 5\frac{24}{25}[/tex]

For f(-x):

Put x = -x

[tex]\displaystyle f(-x) =\frac{6(-x)^2-1}{(-x)^2} \\\\f(-x) = \frac{6x^2-1}{x^2} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

What is the area of a circle with a diameter of 8 meters? Use 3.14 for pi, nothing else. Express in pi term and number term.

Answers

The two answers you are looking for are 16π m² and 50.24 m².

Solution:

Finding the area of the circle,

First, knowing what the area of a circle formula is:

A=πr²

Since knowing that the radius is half the length of the diameter,

If the diameter is 8, then the radius must be 4.

A=π(4)²

A=16π m²

Now, you have the first answer. If you want to express it differently,

Using 3.14 as pi,

So, therefore,

A=16(3.14)

A=50.24 m²

So, now, we can conclude that the two answers you are looking for for the area of this circle are 16π m² and/or 50.24 m².

Answer:

16pi and 50.24 m squared

Step-by-step explanation:

Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.​

Answers

Answer:

707.7, or 707

Step-by-step explanation:

0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413

PLEASE HELP

X+11/8 = -3

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]

maaf jika salah

Answer:

x=-35

Step-by-step explanation:

x+11=-3*8

x+11=-24

x=-24-11

x=-35

52% of 1000 registered voters intend to vote for Steven Collins for mayor. What is the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins?


A. (50.1%, 53.9%)

B. (48%, 56%)

C. (49.9%, 54.1%)

D. (48.9%, 55.1%)

Answers

Using the z-distribution, the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins is:

D. (48.9%, 55.1%)

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\pi = 0.52, n = 1000[/tex]

Hence the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]

As a percentage, option D is correct.

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The unit circle with center at the origin is a relation but not a function Find the two functions which are semicircles of the unit circle and determine their domains and ranges?​

Answers

Answer:

Step-by-step explanation:

The relation is x²+y²=r² with r being the radius

[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]

which property is illustrated by the following ?
if 2 (x+y) = z , then 2x +2y = z​

Answers

Step-by-step explanation:

Distributive Property

Convert a lot size of 2/9 acre to square feet given the conversion factor: 1 acre = 43,560 ft2

Answers

Answer:

9680 ft^2

Step-by-step explanation:

1 acre = 43,560 ft^2

(2/9) acre = (2/9)*43,560 ft^2

(2/9) acre = 9680 ft^2

Que costaría más comprar una vaca o comprar hamburguesas de 1€ hasta igualar a una vaca.

Answers

Answer:

haha pues cuesta mas las hamburgesas porque toca ir al doctor despues

Step-by-step explanation:

Choose the equation of the the ellipse shown in the graph.

Answers

Answer: A

Hello,

Step-by-step explanation:

center =(-3,1)

a=2

b=7

[tex]\dfrac{(x+3)^2}{4} +\dfrac{(y-1)^2}{49} =1\\\\or\\\\49*(x+3)^2+4(y-1)^2=14^2\\\\Answer\ A\\[/tex]

Help!
Find the value of x for which ABCD must be a parallelogram.

Answers

3
In a parallelogram, the diagonals (the lines inside from corner to corner) bisect each other. That means the two halves of the diagonal are equal to each other.
So
-9-6x=x-30
-9-6x+6x=x-30+6x
-9=7x-30
21=7x
x=3

this is a for real question i need some help

Answers

Answer:

5/12

Step-by-step explanation:

Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].

hope this helps!

1. In order to complete the square on x^2 – 3x, you would…?

Answers

Answer:

(x-1.5)^2 -2.25

Step-by-step explanation:

divide 3 by 2 which is 1.5

(x-1.5)^2 -2.25

Find the solution for
2 - 3(x +4) = 8

Answers

Answer:

The answer is -6.

Step-by-step explanation:

2-3*(-6+4)=8

2−3

i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ‍♀️

Answers

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3=      1-2+3-4+5-6+7-8...

S3=       +1-2+3-4+5-6+7-8...

        ________________

2S3=    1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=

please answer my question it's urgent​

Answers

a = 16

Solution:common ratio = (-1/8)/(1/16)=-2

a1 = 1/6

n=9

an = a1 (r n-1)a9 = a1

a9 = 1/16 (-2 9-1)

a9 = 1/16 (-28)

a9 = 1/16 (256)

a9 = 16

I hope this helps :)

Brianna predicted that 16 puppies would
be sold at the pet store on Saturday.
However, only 9 were sold. What was
Brianna's percent error?

Answers

100% + 1992 = 16 there i’m so smart baka

(20 points) please help

Answers

Answer: The antonym of multiply is divide.

Answer:

Divide

Step-by-step explanation:

Antonym simply means the opposite of the given word.

So the opposite of multiplication is division thus division is the answer.

HOPE THIS HELPED

decomponha o número 52.489​

Answers

Answer:50.000+2000+400+80+9

Step-by-step explanation:

Answer:

50.000 + 2.000 + 400 + 80 + 9

Please Help!!! Will give brainliest

Answers

Answer:

e) and f) doesn't exist.

Step-by-step explanation:

Other you can see in picture.

A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number

Answers

Answer:

The number is 5

BRAINLIEST, PLEASE!

Step-by-step explanation:

8x + 2 = 2(21)

8x + 2 = 42

8x = 40

x = 5

In the expression, the value of number is 5.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We can to given that;

The algebraic expression is,

''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''

Now,

Let a number = x

Hence, We can formulate;

⇒ x × 8 + 2 = 2 × 21

⇒ 8x + 2 = 42

Subtract 2 both side,

⇒ 8x + 2 - 2 = 42 - 2

⇒ 8x = 40

Divide by 8;

⇒ x = 5

Thus, The value of number = 5

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Carlo got a pet snake as a birthday present. On his birthday, the baby snake was just 26 cm long. He has been measuring its length weekly and has noticed that it has been growing approximately 2 cm each week.

Write an equation to represent the length of the snake in weeks since Carlo's birthday use L for length and w for weeks.​

Answers

The equation to represent the length of the snake in weeks:

[tex]L=2w+26[/tex]

Given:

A snake of lenght of 26 cemtimeters grows approximately 2 centimeter long each week.

To find:

The equation to represent the length of the snake in weeks

Solution:

Let the length of the snake in' w' weeks be 'L'.

The initial length of the snake on Carlo's birthday = 26 cm

At starting very first week the length of the snake was 26 cm. And after a week the lenght of the snake becomes 28 cm and then aftertwo weeks the length becomes 30 cm and so on.

Increase in length of the snake each week = 2 cm

And increase in length of the snake in 'w' weeks = (2×w) cm

And the length of the snake in terms weeks (w) will be given by equation:

[tex]L=2\times w+ 26\\L=2w+26[/tex]

The equation to represent the length of the snake in weeks:

[tex]L=2w+26[/tex]

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Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?

Answers

Answer:

765

Step-by-step explanation:

1)4.25/100=0.0425

2)0.0425*3600=153

3)153*5=765

A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?

(Remember for trapezoids A= (b1 + b2)/2 x h

Answers

Answer:

Step-by-step explanation:

buzhou一=12212+13。8.12+13.8=25.8          25.8x9.4=?242.52242.522

The area of the trapezoid is given by A = 121.26 feet²

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the trapezoid be represented as A

Now , the equation will be

Let the height of the trapezium be H = 9.4 feet

The shorter base of the trapezium a = 12 feet

The longer base of the trapezium b = 13.8 feet

Now , Area of Trapezoid = ( ( a + b ) h ) / 2

On simplifying the equation , we get

Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2

Area of Trapezium A = 121.26 feet²

Hence , the area of trapezium is 121.26 feet²

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