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
wolverine [178]
2 years ago
6

Assume that you have paired values consisting of heights​ (in inches) and weights​ (in lb) from 40 randomly selected men. The li

near correlation coefficient r is 0.4450.445. Find the value of the coefficient of determination. What practical information does the coefficient of determination​ provide? Choose the correct answer below. A. The coefficient of determination is 0.8020.802. 19.819.8​% of the variation is explained by the linear​ correlation, and 80.280.2​% is explained by other factors. B. The coefficient of determination is 0.1980.198. 19.819.8​% of the variation is explained by the linear​ correlation, and 80.280.2​% is explained by other factors. C. The coefficient of determination is 0.8020.802. 80.280.2​% of the variation is explained by the linear​ correlation, and 19.819.8​% is explained by other factors. D. The coefficient of determination is 0.1980.198. 80.280.2​% of the variation is explained by the linear​ correlation, and 19.819.8​% is explained by other factors.
Mathematics
1 answer:
HACTEHA [7]2 years ago
6 0

Answer:

R^2 = r^2 = 0.445^2= 0.198

B. The coefficient of determination is 0.1980, 19.8​% of the variation is explained by the linear​ correlation, and 80.2​% is explained by other factors.

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.  

Solution to the problem

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 =0.445

The determinaton coefficient is just:

R^2 = r^2 = 0.445^2= 0.198

And we can put it on % and we got 19.8%. And represent the variation explained by a linear model. The best option on this case would be:

B. The coefficient of determination is 0.1980, 19.8​% of the variation is explained by the linear​ correlation, and 80.2​% is explained by other factors.

Since the explained variation is 19.8% and the remain 100-19.8= 80.2% is explained by other factors.

You might be interested in
What is the height of the following triangle if the area is 60 square meters? Do not round your answer.
olga nikolaevna [1]

Answer: Height = 8 m

Step-by-step explanation: We have to find h...

We're given two values

A = 60

B = 15

60 is equal to 1/2 x 15

Solve for h:

h = 60 / (1/2 x 15)

h = 60 divided by 7.5

h = 8

I hope this helps!

5 0
3 years ago
Find BC A. 26.6 B. 30.7 C. 31.4 D. 25
Tatiana [17]

Answer: D) 25

Step-by-step explanation:

Using an equation you can use this information to plug it into a triangle calculator and it will give u that it is 25 KM :D

<!> Brainliest is appreciated <!>

4 0
3 years ago
Find another way to make<br> to make<br> Move a<br> Way<br> Ways to make 6/10
Step2247 [10]
Hiiiiiiiiiiiiiiiii guys
4 0
2 years ago
Suppose that J and K are points on the number line.
V125BC [204]
K could either be a 16 or -24
5 0
3 years ago
I will give a brainliest if your answer are correct
Andrew [12]

Answer:

huhh what this is question is too hard

4 0
3 years ago
Read 2 more answers
Other questions:
  • Express 4 8\9 as an improper fraction
    8·2 answers
  • Which formula is best used to prove that a figure has congruent sides?
    7·1 answer
  • Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long
    5·1 answer
  • 4x + 2 ≥ –6
    11·1 answer
  • Is 31.669 an integer?
    15·2 answers
  • Thomas had a credit of $5 and a debit of $9 posted in his checking account. What is the balance between these two transactions?
    5·1 answer
  • Need help with this one
    8·1 answer
  • Pls helppp!!!!!!!!!!!!!
    12·1 answer
  • Heather levantó un juguete con una masa de 7/12 de kilogramo. Luego otro juguete con una masa de 1/12 de kilogramo.
    14·2 answers
  • Quick question: is this the way you do this?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!