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
masha68 [24]
3 years ago
7

Find the Correlation of the following two variables X: 2, 3, 5, 6 Y: 1, 2, 4, 5

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Answer:

The correlation of X and Y is 1.006

Step-by-step explanation:

Given

X: 2, 3, 5, 6

Y: 1, 2, 4, 5

n = 4

Required

Determine the correlation of x and y

Start by calculating the mean of x and y

<em>For x</em>

M_x = \frac{\sum x}{n}

M_x = \frac{2 + 3+5+6}{4}

M_x = \frac{16}{4}

M_x = 4

<em>For y</em>

M_y = \frac{\sum y}{n}

M_y = \frac{1+2+4+5}{4}

M_y = \frac{12}{4}

M_y = 3

Next, we determine the standard deviation of both

S = \sqrt{\frac{\sum (x - Mean)^2}{n - 1}}

For x

S_x = \sqrt{\frac{\sum (x_i - Mx)^2}{n -1}}

S_x = \sqrt{\frac{(2-4)^2 + (3-4)^2 + (5-4)^2 + (6-4)^2}{4 - 1}}

S_x = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}

S_x = \sqrt{\frac{4 + 1 + 1 + 4}{3}}

S_x = \sqrt{\frac{10}{3}}

S_x = \sqrt{3.33}

S_x = 1.82

For y

S_y = \sqrt{\frac{\sum (y_i - My)^2}{n - 1}}

S_y = \sqrt{\frac{(1-3)^2 + (2-3)^2 + (4-3)^2 + (5-3)^2}{4 - 1}}

S_y = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}

S_y = \sqrt{\frac{4 + 1 + 1 + 4}{3}}

S_y = \sqrt{\frac{10}{3}}

S_y = \sqrt{3.33}

S_y = 1.82

Find the N pairs as (x-M_x)*(y-M_y)

(2 - 4)(1 - 3) = (-2)(-2) = 4

(3 - 4)(2 - 3) = (-1)(-1) = 1

(5 - 4)(4 - 3) = (1)(1) = 1

(6-4)(5-3) = (2)(2) = 4

Add up these results;

N = 4 + 1 + 1 + 4

N = 10

Next; Evaluate the following

\frac{N}{S_x * S_y} * \frac{1}{n-1}

\frac{10}{1.82* 1.82} * \frac{1}{4-1}

\frac{10}{3.3124} * \frac{1}{3}

\frac{10}{9.9372}

1.006

<em>Hence, The correlation of X and Y is 1.006</em>

You might be interested in
Using the same spinner and die from the problem above, what is the probability of not spinning a blue, and then not rolling a fi
MatroZZZ [7]
This is the answer to your question

4 0
3 years ago
Blake is paid $8.75 an hour. He worked 6 hours and spent of his
yarga [219]

Answer :

$52.50 - x

Step-by-step explanation:

8.75*6 = 52.5

Price of the book = x

$52.50 - x

5 0
3 years ago
How much will a 20% tip be if the subtotal for a meal is $99.25?
fiasKO [112]

Answer:

$19.85 tip

Step-by-step explanation:

To find the % of something simply turn 20% to a decimal (.2) then times it by the number you want .2 * 99.25 = 19.85

7 0
3 years ago
Nathan took his car in for service and repairs. He had a coupon for 10% off.
igor_vitrenko [27]

Answer:

$594.21

Step-by-step explanation:

Because 254.58 + 333.90+ 64.42= $622.87

and 10 off of $622.87 = $560.58

and 6% sales tax to $560.58 = $594.21

5 0
3 years ago
The price of a stock decrease by 60 cents one week , decreased 10 cents the next week , and decreased another 20 cents the follo
r-ruslan [8.4K]
-60 + -10 + -20 = -90 / 3 = -30
7 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer this question only if you know the answer!! 14 points and brainliest!
    12·1 answer
  • What is the wavelength for radio waves with frequency 3 × 10^9?
    12·1 answer
  • How many minutes are in 18 years
    15·2 answers
  • The sum of 14 and a number is equali to 17
    8·1 answer
  • A rectangular vegetable garden will have a width that is 4 feet less than the length and an area of 140 square feet if x represe
    11·1 answer
  • Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.
    9·2 answers
  • 5. Based on its table of values, which graph has the greatest slope?
    5·1 answer
  • Help me its easy lol
    11·1 answer
  • Someone help me plz I need some help I’m gonna fail
    10·1 answer
  • Please help with this qn :)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!