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
maw [93]
3 years ago
8

Calculate the value of the sample correlation coefficient. Based on this value, how would you describe the nature of the relatio

nship between the two variables
Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer:

Explained below.

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 coefficient is:

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

           =\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{[n\cdot\sum X^{2}-(\sum X)^{2}][n\cdot\sum Y^{2}-(\sum Y)^{2}]}}

Positive correlation is an association amid two variables in which both variables change in the same direction.  

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.

You might be interested in
Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate
kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality x^{2}-5x+4\leq 0. To do that, factorize, then we have that (x-4)(x-1)\leq 0. This implies that

x-1\leq 0\, \text{and}\, x-4\geq 0

or

x-1 \geq 0\, \text{and}\, x-4\leq 0

In the first case the solution is the empty set \emptyset. In the second case the solution is the interval 1\leq x \leq 4. Now we have that

A=[1,4]

B=(3,5)

C=(3,4].

To show that A\cap B\subseteq C consider x\in A\cap B. Then 1\leq x \leq 4\, \text{and}\, 1, this implies that 3, then x\in C. Now, to show that C\subseteq A\cap B consider x\in C, then 3, then 1\leq x \leq 4\, \text{and}\, 3, then x\in [1,4] \, \text{and}\, x\in (3,5), this implies that x\in A\cap B.

Observe the image below.

7 0
3 years ago
**Interest Rate** ¥1,000,864 balance, 5% monthly rate, over a 10 year span, What is the final balance?
lora16 [44]
Find 5% x 12 x 10 then add the number you got to the ¥1,000,864
3 0
3 years ago
Need help pls asap ​
Olin [163]

Answer:

D

Step-by-step explanation:

3x+5=2x+5

3 0
2 years ago
It takes 46 minutes for 10 people to paint 3 walls. how many minutes does it take 444 people to paint 666 walls?
mrs_skeptik [129]
It takes 92 minutes for 10 people to paint 6 walls.
7 0
2 years ago
Read 2 more answers
Sin75degree=Cos____degree
tigry1 [53]

Answer: 15

Step-by-step explanation:

We know that sin 75 degrees = 0.90659...

Now, to find cos: cos-1 (0.90659) = 15

So the answer is 15.

7 0
2 years ago
Other questions:
  • The function A(t)=525(1+0.05)^t represents the amount of money in the account after t years. How much more money did Taber origi
    15·1 answer
  • (Free points)<br><br>Factorise x³ + 216y³ + 8z³ - 36xyz​
    15·2 answers
  • What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =
    11·1 answer
  • PLEASE HELP PLEASE PLEASE The graph below plots a function f(x):
    14·1 answer
  • What is the first step to solve the absolute value equation 2|x+5|=16 for x?
    5·2 answers
  • T &lt; 0 expresses t is positive in symbols?
    5·2 answers
  • Add.<br> (-x^3+26x^2-7-13)+(6x^4-x^3+8x+27)<br> express the answer in standard form.
    5·1 answer
  • Please explain your work, thank you!!
    10·2 answers
  • Question is in the pic
    12·1 answer
  • How are algebraic expressions used to represent and solve problem
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!