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

Last week, Laura volunteered at the community clean-up event and earned 2 patches for her scout uniform. She spent 4 minutes sewing the patches onto her uniform. This week, Laura spent the week at the scout camp and earned another 6 patches.
If Laura sews at the same rate, how many minutes will she spend sewing her new patches onto her uniform?

Answers

Answer:

12

Step-by-step explanation:

let's say number of patches is x, and amount of time is y. the time per patch is k.

k * x = y

2 * k = 4

k = 2

2 * x = y

2 * 6 = 12

I need help asap I’m confused

Answers

what’s the question?

what is 5 quarts converted to liters

Answers

Answer:

1 quart = 0.95 liters. with this said, we can conclude that 5 quarts equals 4.73 liters

Answer:

4.73176

Step-by-step explanation:

okay so this is the exact decimal but you can just write you answer as 4.73

hope this helps

Write the equation of the line graphed below. ​

Answers

Answer:

Because the line has no slope, we can define this line very simply as:

y = 3

I will give a brainliest for if you give me answers

Answers

Answer: When graphing start at (0,6). (1, 8) (3,12) (5,16) The total cost for 7 rides is $20.

Step-by-step explanation:

Answer:

the total cost for 7 rides is $14 plus how much it is to get in the fair is $6 so the total cost to get in and do 7 rides is $20 but the total cost for 7 rides is $14

Step-by-step explanation:

Answer is $14 for 7 rides

PLZ GIVE BRAINLIEST

Determine if true. select all that apply

Answers

Answer



1: top one
2:second one

Harry borrows $2,500 to purchase furniture for his new
apartment. If he pays $202.00 per month for 1 year
and 3 months, how much total interest will he pay?
a. $202
b. $530 c. $3,030 d. $5,530

Answers

Answer:

The answer is C

Step-by-step explanation:

5.5.19
Factor out the greatest common factor from the following polynomial.
6x(z + 14)+(z + 14)
Select the correct choice below and, if necessary, fill in the answer box to complete your cho
6x(z + 14)+(z+14) = _______ Type your answer in factored form.)
The polynomial has no common factor other than 1.

Answers

Answer:

The greatest common factor of 6x(z + 14)+(z + 14) is 1

and if you want it in factored form it is (z + 14)(6x + 1)

Adela, Tony, Pang, and Ruben are all in 6th grade. Their average age is 11 years old. The list shows the difference from average for each.

Age Difference

Adela: 0.75 year

Tony: 11
10
years

Pang: –0.8 year

Ruben: -1
2
year

Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
❌Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang

Answers

Answer:

Pang, Ruben, Adela, Tony

Step-by-step explanation:

So the Answer would be c. I hope this helped and have a good day.

Answer:

c

Step-by-step explanation:

What is an equation of the line that passes through the points (3, 0) and (6, -1)

Answers

Y= -1/3x + 1

Please mark BRAINLEST!!

Answer:

(Note: This is assuming that the answer can be in any format.)

[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]

Step-by-step explanation:

When given at least two points, you can find write an equation using the point-slope formula: [tex]y - y_1 = m (x - x_1)[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values from one point that need to be substituted in to make an equation, as well as the [tex]m[/tex] which represents the slope.

Find the slope by using the slope formula [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] and the two points given:

[tex]\frac{-1-0}{6-3}[/tex]

[tex]\frac{-1}{3}[/tex]

So, the slope is [tex]-\frac{1}{3}[/tex].

Next, choose a point (in this case, I chose (3,0)) and substitute its x and y values into [tex]x_1[/tex] and [tex]y_1[/tex] respectively, and also substitute  [tex]-\frac{1}{3}[/tex] for m. This forms an equation of a line in point-slope formula:

[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]

Convert to centimeters: 43 meters

Answers

4300
One meter is 100 centimeters

Blue Street passes through the points (-2,6) and (3,-4) find the slope using the slope formula and then find the equation of the line using any method. Show your work.​

Answers

Answer:

Christianity

May god Bless you

Step-by-step explanation:

A selfie ring light is originally priced at $55 is marked down 25%. What is the sale price?

Answers

Answer:

41.25

Step-by-step explanation:25% of 55 is 13.75

F(x)=1/2x+4 and g(x)=−8f(x). What equation shows the correct rule for the function g? A. g(x)=−8x−32. B. g(x)=−4x+4. C. g(x)=−4x−32

Answers

Answer:

f(x)=1/2x+4.

Step-by-step explanation:

A sales person makes $200 each week plus an additional $24 per sale. This sales person wants their weekly paycheck to be at least $500.Which inequality could be used to solve for how many sales () the sales person will have to make to reach or exceed their goal?

Answers

Answer: a.200 + 24x= 500
b. 12.5 sales but since you can’t make half a sale the answer will be 13

2h+y/9h^2-y^2 - 4h^2/3h+y what is the least common denominator in this expression

Answers

Answer: It is 9

Step-by-step explanation:

Find the percent increase from 15 to 18

Answers

Answer:

The percentage increase would be 20%

Step-by-step explanation:

worked it out

The percent increase from 15 to 18 is 20%.

To find the percent increase from 15 to 18, we can use the following formula Subtract the initial value from the final value, then divide the result by the absolute value of the initial value.

Percent Increase = (New Value - Old Value) / Old Value * 100

Using this formula, let's calculate the percent increase:

Percent Increase = (18 - 15) / 15 * 100

Percent Increase = 3 / 15 * 100

Percent Increase = 0.2 * 100

Percent Increase = 20

Therefore, the percent increase from 15 to 18 is 20%.

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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
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q

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)

lines DE and AB intersect at point C.
What is the value of X?

12
25
38
52

ignore the answer i marked, i was guessing around. ​

Answers

Answer:

B

Step-by-step explanation:

∠ACE and ∠ECB form a straight angle whose sum = 180°, hence

2x + 2 + 5x + 3 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25 → C

When are two lines perpendicular?

A. when the slopes are opposites
B. when the slopes are reciprocal
C. when the slopes are negative
D. when the slopes are opposite and reciprocal​

Answers

Answer: C I think

Step-by-step explanation:

y = -3x + 3
-3x - y = -6

Answers

Answer:

let it be equation 1 and 2

Step-by-step explanation:

-3x -(-3x+3) =-6

-3x +3x -3= -6

0x = -3

x = 0

y = -3(0) +3

y = 3

Given that ABC~LMN
What is the length of AC?

Answers

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

[tex] \frac{AB}{LM} = \frac{AC}{LN} [/tex]

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

[tex] \frac{5}{10} = \frac{x + 5}{3x + 3} [/tex]

Cross multiply

[tex] 5(3x + 3) = 10(x + 5) [/tex]

[tex] 15x + 15 = 10x + 50 [/tex] (distributive property)

Collect like terms

[tex] 15x - 10x = -15 + 50 [/tex]

[tex] 5x = 35 [/tex]

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

find slope of the line that passes through the two points (3,11) and (9,16)​

Answers

Answer:

5 over 6

Step-by-step explanation:

y2-y1 over x2-x1 is the equation you need. Y2 in this case is 16, Y1 is 11 and X2 is 9 and X1 is 3 so then you just plug it is. 16 - 11 is 5 and 9 - 3 is 6

A group of physicians conducts a study to find the success
rate of different treatments for an illness. They select one
hospital at random and obtain a list of patients who have
received each treatment. They select every fifth patient on
the list and contact that patient.
What is the sample in this study?
A. Patients who have been diagnosed with the illness
B. The patients from the list who are contacted by the physicians
C. Patients who received one of the treatments at the selected
hospital
D. The patients on the list that the hospital provided to the doctors

Answers

Your answer is B :)

Happy to help!

Answer: B

Step-by-step explanation:

I took the quiz and  got this right, Happy to help!!

Need help pls will put u brainliest

Answers

which one do yu need help on?

Write an algebraic expression for each verbal description. a number
!!please help me my assignment is due today at 9!!!

Thirty percent of the green house flowers are added to 25 ferns for the
school garden.

Answers

I believe it may be written like this:
.3g+25f

The algebraic expression is 0.3G+25F

What are algebraic expression?

An algebraic expression is a sentence with a minimum of two numbers or variables and at least one mathematical operation.  

First, we can use G to represent green house flowers and F to represent ferns.

Then thirty percent of the green house flower can be represented by 0.3G.

25 ferns can be written as 25F.

The algebraic expression for the given verbal description is 0.3G+25F.

To learn more about algebraic expressions, use the below link:

https://brainly.com/question/953809

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The length, width and height of a rectangular prism is given as 15 cm, 10
cm and 5 cm respectively. What is the volume of the prism? *

A) 30cm3
B)150cm3
C)750cm3
D)750

Answers

Answer:

Its option C

Step-by-step explanation:

to find the volume you multiply the length, width and height together.

C is the correct answer.

Why?

Volume is calculated by multiplying a, b and c
V = a x b x c
V= 15 cm x 10 cm x 5 cm
V= 750cm^3

Do note that since we are finding the volume, the proper measurement would be cm^3

what is the distance, in units, between the y-intercept of f(x) = x^2 +7x - 18 and the y-intercept of the linear function that passes through the points shown on the table below
x g(x)
-5 2
10 11
25 20
60 41

Answers

Answer:

13

Step-by-step explanation:

f(x) = x² +7x - 18

y interception: x=0  y = -18    (0 , -18)

line g(x):  --- the data of (60,47) to make a linear function

y = mx + b

m = (11-2) / (10 - -5) = 9/15 = 0.6

b = mx - y = 0.6 * (-5) - 2 = - 5  ... y intercept: (0 , -5)

distance between 2 y intercept: 18-5 = 13

y = 0.6x - 5

Answer:

23

Step-by-step explanation:

f(x) (y intercept ) = -18

g(x) (y intercept) = 5

difference so f(x)-g(x)

-18-5 = -23

the answer cannot be negative

Solve 3b – 8 + 6 = 2(b + 6)

Answers

Answer:

b=14

Step-by-step explanation:

3b-2=2b+12

b-2=12

b=14

The Mountain Spring Water Company is moving their backup supply of drinking water to a different site. Each tank weighs according the table shown here. Determine if the function is linear or not.

both
neither
linear
nonlinear

Answers

Linear, because the X is increasing by one!
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