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
Orlov [11]
3 years ago
13

The Correlation Coefficient for a relationship is - 0.95. What percentage of the dependent variable in the correlation is due pu

rely to chance? (Answer with a percent rounded to the hundredths decimal place. Include the % sign.)
Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:

The unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance

Step-by-step explanation:

Previous concepts

Pearson correlation coefficient(r), "measures a linear dependence between two variables (x and y). Its a parametric correlation test because it depends to the distribution of the data. And other assumption is that the variables x and y needs to follow a normal distribution".

In order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

On this case we got that r =-0.95

In order to find the % of variance explained by the model we need to calculate the determination coefficient given by:

R^2 = (-0.95)^2 = 0.9025

And that means this : "90.25% of the variation of y is explained by the variation in x"

So then the unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance

You might be interested in
the difference between 2 whole numbers is 66. the ratio of the 2 numbers is 2:5, what are the 2 numbers​
shtirl [24]

Answer:

44 and 110

Step-by-step explanation:

The ratio of the 2 numbers = 2 : 5 = 2x : 5x ( x is a multiplier ) , thus

difference = 5x - 2x = 3x , then

3x = 66 ( divide both sides by 3 )

x = 22

Thus

2x = 2 × 22 = 44

5x = 5 × 22 = 110

The 2 numbers are 44 and 110

8 0
3 years ago
Which best explains how you know that P(2, 7) is on the same line as Q(7, 4) and R(12, 1)?
Helen [10]

Answer:

See explanation below

Step-by-step explanation:

The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change:  - 3/5, which is in fact the slope of the line the three points belong to.

4 0
3 years ago
What is the answer to F(x)=6+3x
masha68 [24]

(F)=6+3F

We move all terms to the left:

(F)-(6+3F)=0

We add all the numbers together, and all the variables

F-(3F+6)=0

We get rid of parentheses

F-3F-6=0

We add all the numbers together, and all the variables

-2F-6=0

We move all terms containing F to the left, all other terms to the right

-2F=6

F=6/-2

F=-3

I don’t know if it is right but I hope this helps :)
4 0
2 years ago
Marking brainliest.What is the probability that the outcome of rolling a standard number cube will NOT be 3?
olganol [36]

Answer:

5/6

Step-by-step explanation:

5 0
3 years ago
If m = 28 and n = 4, what is the value of the following expression?
Serggg [28]

Answer:

d.4

Step-by-step explanation:

28−(5)(4)−4

=28−20−4

=8−4

=4

8 0
3 years ago
Read 2 more answers
Other questions:
  • Add the two expressions.<br><br> −4x+3 and 2x−6<br><br> Enter your answer in the box.
    6·2 answers
  • Solve: 103=<br> I kinda need help so someone quickly help me!!!
    11·1 answer
  • The relationship between men’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length i
    10·1 answer
  • How do you solve for x in the equation 4x-2(x-2)=-9+5x-8
    13·1 answer
  • If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof
    14·1 answer
  • If y=10 when x=15 find x when y=35
    11·1 answer
  • A sporting goods store is offering a 6% discount on the sale of football jerseys the price of each football jersey is 39.90 befo
    7·1 answer
  • The weight of one serving of trail mix is 2.5 ounces. How many servings are their in 22.5ounces of trail mix
    6·1 answer
  • A Community theater sold 63 tickets to the afternon fora total of 444 birr, an adult ticket Cost 8 birr achild ticket cost 4 bir
    13·1 answer
  • Use the following information to write an equation in terms of x. Then solve the equation and find RS and RT .
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!