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
Verdich [7]
3 years ago
9

Please consider the following values for the variables X and Y. Treat each row as a pair of scores for the variables X and Y (wi

th the first row providing the labels "X" and "Y"). X Y 2 4 4 3 6 5 7 7 11 6 Please calculate Pearson's correlation coefficient (r) for these data and report your answer below. When reporting your answer, please provide three decimal places (if relevant).

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

The Pearson's coefficient of correlation between the is 0.700.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

The formula to compute covariance is:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

The formula to compute the variances are:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}

Consider the table attached below.

Compute the covariance as follows:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

                 =(5\times 165)-(30\times 25)\\=75

Thus, the covariance is 75.

Compute the variance of X and Y as follows:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\=(5\times 226)-(30)^{2}\\=230\\\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}\\=(5\times 135)-(25)^{2}\\=50

Compute the correlation coefficient as follows:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

            =\frac{75}{\sqrt{230\times 50}}

            =0.69937\\\approx0.70

Thus, the Pearson's coefficient of correlation between the is 0.700.

You might be interested in
Identify GCF polynomial factor <br> 2x+6=
11Alexandr11 [23.1K]
The GCF polynomial factor is 2 (2(x+3))
3 0
3 years ago
7+2 Officalbrotherz Tik Tok
iVinArrow [24]

Answer:

9

Step-by-step explanation:

7+2=9

4 0
3 years ago
Read 2 more answers
Please answer 100 points<br> Divide. 6 from 3/5 <br> 10<br> 30<br> 20<br> 15
almond37 [142]

Answer:

Step-by-step explanation:

What is 6 divided by 3/56 ÷ 3 5. The trick to working out 6 divided by 3/5 is similar to the method we use to work out dividing a fraction by a whole number. ... 6 x 5 3 = 30 3. So, the answer to the question "what is 6 divided by 3/5?" ... 30 3. ... 10 1. ... 10 1 = 10.

5 0
1 year ago
Read 2 more answers
Please help ! Will mark brainliest!
kow [346]

1/2^3 would be the answer!

Hope this helps!

3 0
3 years ago
What is 4, 4.9, 4 3/4, 4.329 in order from greatest to least
Sphinxa [80]
4, 4.329, 4 3/4, 4.9
5 0
3 years ago
Read 2 more answers
Other questions:
  • Slope= -7\6 y-intercept= -1
    13·2 answers
  • What is the slope-intercept equation of the line shown below? (4,3) (-4,-1)
    11·1 answer
  • A bank offers a four year cd with an interest rate of 2.75%. The penalty for early withdrawal from the CD is nine months of simp
    13·1 answer
  • Please could I have some help :)
    9·1 answer
  • What is 15,472 rounded to the nearest thousand
    11·2 answers
  • A ship captain needs to contact a diver. The communication system has a maximum range of 60 meters. Will the captain be able to
    6·1 answer
  • HELPPPPPPP PLZZZZZZZZZZZZ
    7·1 answer
  • The Marcos Family is going to a football game. Tickets cost 55 for adults and $2 for students.
    14·2 answers
  • Do the equations = −5 over 4 + 2 and 10 +8 = 16 define the same line?
    14·1 answer
  • I NEED HELP!! WITH NUMBER 4 BOTH ANSWERS
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!