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]
3 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]3 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
A line graph does NOT:
Vanyuwa [196]
<span>Use percentages to display data



Hope this helps.
</span>
8 0
3 years ago
- A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of
sp2606 [1]
I would say 15 inches
7 0
3 years ago
Y = 230X + 100<br><br> What is the constant rate
Ad libitum [116K]

Answer: y 12 6 4 3. - 2 Y x 1 | 2 | 3 | 4 |. | y | 7 | 5| 3 1. 3.

Step-by-step explanation:

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Ctext%7BQuestion%7D%7D%20%3A%20" id="TexFormula1" title=" \underline{ \
Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

V_{C}=(10)^3=1000\text{ cm}^3

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

V_R=h(25)(20)=500h\text{ cm}^3

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

500h=1000

Therefore:

h=2

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

A_{R_M}=20(25)(10)=5000 \text{ cm}^3

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

(5000-1000)\text{ cm}^3=4000\text{ cm}^3

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

3 0
3 years ago
Read 2 more answers
The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in
Kitty [74]

Answer:

The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Which statement best reflects the solution(s) of the equation? 1/x+1/x−3=x−2/x−3
    12·2 answers
  • in a school the ratio of boys to girls 6/5. what is the probability of choosing a girl from a class of 22?
    10·1 answer
  • Probablity of getting a number greater than 4 when a die is rolled one time
    6·2 answers
  • Write one inequality statement to show the relationship among the following shoe sizes: 10 1/2, 8, and 9.
    13·1 answer
  • Find the smallest positive integer k such that 3240/k is a square number
    13·1 answer
  • User: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for e
    13·1 answer
  • Given a set of data, what steps would you take to identify whether the data showed linear or exponential growth?
    5·2 answers
  • Carla wants to create a garden in her backyard. She wants the width of the garden to be 9 meters and the area to be 162 meters.
    13·1 answer
  • 2x - 3y = 16 5x - 3y = 13
    9·1 answer
  • -8y-(4x-3)-y+9x distribute and combine
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!