Calculate the correlation coefficient, r, for the data below.

Answers

Answer 1

This question is incomplete, the complete question is;

Calculate the correlation coefficient, r, for the data below.

X = -10  -8  -1  -4  -6  -7  -5  -3  -2  -9

Y = -15  -13  4  -4  -7  -11  -6  -2  1  -13

Answer: the correlation coefficient, r, for the data is 0.9896

Step-by-step explanation:

Given the data in the question;

correlation coefficient r = ?

we know that, C_Coeff is;

r = [ (Zn(∑xy) - (∑x)(∑y) ] / [ √[( n∑x² - (∑x)²) ( n∑y² - (∑y)²)] ]

so ;

       X        Y        X²        Y²        XY

     -10     -15       100      225      150

     -8      -13        64       169       104

     -1         4          1        16           -4

     -4       -4         16       16           16

     -6       -7         36      49          42

     -7       -11         49      121         77

     -5       -6         25      36         30

     -3       -2          9         4            6

     -2       1            4         1            -2

     -9      -13         81       169         117

∑   -55     -66      385     806        536

now we substitute our values into the formula

r = [ (10×536 - (-55)(-66) ] / [ √[( 10×385 - (-55)²) ( 10×806 - (-66)²)] ]

r = 1730 / √( 825 × 3704 )

r = 1730 / √3055800

r = 1730 / 1748.0846

r = 0.9896

Therefore the correlation coefficient, r, for the data is 0.9896


Related Questions

andrea rents a bike for 8 hours and pays $42 for the rental tomorrow she wants the same bike but only needs it for 6 hours what equation can she use to figure out how much she will need to pay

Answers

Answer:

8x=42 where x is hourly cost

so x = 21/4

6*x = 63/2 $

Step-by-step explanation:

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

Answers

Answer:

Total fine paid by Amelia =  £1.44

Step-by-step explanation:

Given that:

Number of days = 27 November to 12 December

Number of days = 16 days

Per day fine = 9p

Total fine = Per day fine * Number of days

Total fine = 9 * 16

Total fine = 144p

1£ = 100p

144p = [tex]\frac{144}{100}[/tex]

144p = £1.44

Hence,

Total fine paid by Amelia =  £1.44

The figure shows a line graph and two shaded triangles that are similar:

Which statement about the slope of the line is true? (1 point)

The slope from point O to point A is fraction 1 over 5 times the slope of the line from point A to point B.
The slope from point O to point A is five times the slope of the line from point A to point B.
It is fraction 1 over 5 throughout the line.
It is 5 throughout the line.

Answers

Answer:    The correct answer is B, the slope is -1/2.

Step-by-step explanation: I hope you have a blessed day. ;)

An increase divided by the run equals the slope: The rise and run of a line can be used to figure out its slope out of its graph, its value is [tex]\frac{1}{2}[/tex].

The slope of the line:

Given points:

Point A(4,2)

Point B(6,3)

calculate the slope value:

slope formula:

     [tex]=\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{2-3}{4-6}\\\\=\frac{-1}{-2}\\\\=\frac{1}{2}[/tex]

Since all three aspects are all on the same line, their slopes will be the same. so, the slope value [tex]\frac{1}{2}[/tex].

Find out more about the slope here:

brainly.com/question/949226

which expression is equivalent to 18x + 9y - 6?

answers:
A. 9(2x - y + 3)
B. 3(6x + 3y -2)
C. 2(9x + 3y - 2)

Answers

B . the answer is B!!

Solve the equation by graphing. - x2 = 8x + 20

Answers

Answer: No real solutions.

Step-by-step explanation: −x2=8x+20

Step 1: Subtract8x+20  from both sides.

−x2−(8x+20)=8x+20−(8x+20)

−x2−8x−20=0

For this equation: a=-1, b=-8, c=-20

−1x2+−8x+−20=0

Step 2: Use quadratic formula with a=-1, b=-8, c=-20

What is the area of this trapezoid enter your answer in the box

Answers

9514 1404 393

Answer:

  336 cm^2

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...

  A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2

Plzzzz help you are in a sailboat race. the course is triangular,racing A-B-C- finish. by what angle do the sailboats need to change so that they can make it to the finish line.

Answers

It depends they are at the time your asking the question

Answer:

I'm going with the first one

Step-by-step explanation:

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Answers

Your answer would be x=-2

If you still have trouble solving these questions, use the website or app called Math-way!!

x-3=–5

answer:

subracting 3 from both sides (by rule ll)

= 3-(-5)=-2

now ,x=-2 (ans)

For questions 13 - 14, determine which mappings are functions. please help, will give brainliest

Answers

Answer:

24

Step-by-step explanation:

Find the midpoint of points A(-8, 2) and B(-5, 10)

Answers

Answer:

-40×20

= -40/20

= -2

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

aerbygrsyhbrsvd

8. Cory drove 7 miles South on Kings Drive. He then turned East and went another 24 miles down Hwy 66. At this point he turned on a diagonal and took Main Street back home. How far did Cory drive? show work​

Answers

Answer:

Cory drove 56 miles.

Step-by-step explanation:

In order to solve the present problem, the Pythagorean theorem must be used, as the displacements towards the south and east operate as legs and the diagonal return as hypotenuse, forming a right triangle:

7 ^ 2 + 24 ^ 2 = X ^ 2

49 + 576 = X ^ 2

2√625 = X

25 = X

Thus, since he traveled 7 miles south, 24 miles east, and then 25 miles diagonally toward his house, in total he traveled 56 miles (7 + 24 + 25).

the probability of an impossible event​

Answers

Answer:

what

Step-by-step explanation:

whhhhhaaattt

Answer:

the probability of an impossible event is always 0

At a grocery store, Guadalupe bought a bag of apples that weighed 27.4 ounc
• Apples cost $1.60 per pound.
• There are 16 ounces in a pound.
How much did Guadalupe's apples cost?

Answers

Answer:

$2.74

Step-by-step explanation:

27.4 / 16 = 1.7125

1.7125 * 1.6 = 2.74

Answer:

$2.74

Step-by-step explanation:

12.6 cm
6.4 cm
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Answers

Answer:

80.64 is the area of the rectangle

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Answers

Answer:

The answer is C

Step-by-step explanation:

If two fifths of the class is 42 just do 42 + 42 + 21 = 105 to find how many seniors there is.

If f(x)=3x^2-x+3, then what is the remainder f(x) is divided by x+7?

Answers

Answer:

Remainder is 157

Step-by-step explanation:

-7 | 3 -1    3

____-21_154

     3 -22 | 157

Answer is 3x-22 R157

Natalia cut a pie into eighths. She ate 3/4 of the whole pie. What fraction of the pie
did she eat?

Answers

the answer would be 6/8
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Solve using Substitution Method. 5x-y=-6 10x+3y=-32

Answers

Answer:

x= -2

y= -4

Step-by-step explanation:

1) solve for y in 5x-y= -6

   which would be y= 5x+6

2) substitute that in for y in the second equation

    which would be 10x+3(5x+6)= -32

3) solve that new equation

    which would be x= -2

4) plug x= -2 into either equation (the shorter equation is the one i chose)

    which would be 5(-2) - y = -6

5) solve that new equation

  which would be y= -4

Find the measure of angle Din the quadrilateral below.
A 85°
B 95°
C 120°
D?

Answers

Answer:

60 I

Step-by-step explanation:

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Answers

Answer:

The bubble on the left should be 0.01.  The bubbles on the right should be: (top to bottom) 7, 0.1, 0.07, 0.004.

Step-by-step explanation:

You're just supposed to break the decimal into parts.  It like breaking 178 into hundreds, tens, and ones (100 + 70 + 8)


A fitness center charges a $20 fee for monthly membership and $1.50 per visit for each visit over 30 per month. If x > 30, which function represents the cost of a one-month
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Answers

Answer:

1.50 x 30

Step-by-step explanation:

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Answer:

-5,1

Step-by-step explanation:

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Enter answer as a fraction.

Answers

Answer:

12 1/3

Step-by-step exp

First, you need to add up 11/4 and

6 1/2

11/ 4 + 6 1/2 = 11/4 + 13/2 = 37 / 4

To find how many 3/4 we have in 37/4, we simply dividw 37/4 by 3/4

37/4 ÷ 3/4

= 37/4 × 4/3 (4 will cancel out 4)

= 37/3

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Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?

On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30.

Point R is at (−40, 30), a distance of 60 units from point Q
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Answers

Answer:

Point R is at (−40, −10), a distance of 20 units from point Q

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

(-40,30)

Elizabeth bought 0.75 pound of sliced turkey for $3.45 and 1.5 pounds of sliced ham for $6.60. How much more was the turkey per pound?​

Answers

Answer:

$0.20

Step-by-step explanation:

To find the difference per pound, we need to find how much each item costs per pound first.

Sliced turkey:

0.75 pound --- $3.45

1 pound ---  × $3.45 = $4.60

Sliced Ham:

1.5 pounds --- $6.60

1 pound ---  × $6.60 = $4.40

Difference:

$4.60 - $4.40 = $0.20

Answer:

$0.20

Step-by-step explanation:

Convert each angle in degrees to radians. -270°​

Answers

Answer:

-4.71239 rad

Step-by-step explanation:

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Answers

Answer:

Sorry I am not sure but when I figure it out..... I prolly won't

Step-by-step explanation:

Answer:

 

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

Step-by-step explanation:

A line passes through the point (0,2) and has a slope of -1/4. What is the equation of the line

Answers

Answer:

Step-by-step explanation:

use point-slope formula [y-y1 = m(x-x1) ] with the given info

P=(x1,y1) = (0,2)  and slope m = -1/4

y-2=-1/4(x-0)

y-2= -1/4x

now try to move things till you get the slope-intercept form [y=mx+b]

y= -1/4x+2

good all done :)

how many times can 200 go into 4879

Answers

Answer:

24

Step-by-step explanation:

24.395 times. Or 24 times if it’s to the nearest whole number.
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