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
kumpel [21]
3 years ago
15

Consider a population list x, with a CV= 10%. A second population list, y, has a CV= 20%. The linear regression of y on x is y =

10x. What is the correlation between y and x? (Assume linearity, homoscedasticity, no outliers and normality)
Mathematics
1 answer:
ch4aika [34]3 years ago
6 0

Answer:

The correlation coefficient 0.5 depicts that there is moderate positive correlation between y and x.

Step-by-step explanation:

The linear regression equation is

y= a+bx

The given linear equation is

y= 10x

Here, slope=b=10 and intercept=a=0.

From above equation,

ybar=10xbar

We are given that CVx=0.1 and CVy=0.2

where CV=(standard deviation/mean)*100

We know that

b=r(Sy/Sx)

Multiplying by xbar/ybar on both sides

(xbar/ybar)b=r(Sy/Sx)(xbar/ybar)

(xbar/ybar)b=r[(Sy/ybar)/(Sx/xbar))]

(xbar/ybar)b=r[CVy/CVx]

As CVy/CVx=(Sy/ybar)*100/(Sx/xbar)*100=(Sy/ybar)/(Sx/xbar).

By putting ybar=10xbar, b=10, CVx=0.1 and CVy=0.2.

(xbar/10xbar)10=r(0.2/0.1)

1=r(0.2/0.1)

1=r(2)

r=0.5

There is moderate positive correlation between y and x.

You might be interested in
Please help! Tell me the numbers that I have to add to demostrate the answer
Zielflug [23.3K]
There u go n can cnjanckzkjzm de keel disc

8 0
3 years ago
Read 2 more answers
1. The distance of a doorknob from the floor is about 1 what?
madam [21]

Answer:

It's about 3 feet

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
there is 1,000 cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough al
enyata [817]

Answer:

The answer is C

Step-by-step explanation: I hope this help you

3 0
3 years ago
Read 2 more answers
1. Explain why n root a^n= |a| when n is even, but not when n is odd.
kogti [31]

Step-by-step explanation:

In the expression a^n, for integer values of n greater than 1, there are n factors. For example, a^2 = a * 2 (2 factors), a^3 = a * a * a (3 factors), etc.

For a non-negative value of a, a^n is non-negative for all values of n.

If a is negative, and n is even, then a^n is non-negative.

If a is negative, and n is odd, then a^n is negative.

|a| is non-negative for all values of a.

sqrt_n(a^n) is negative for negative a and odd n, but |a| is always non-negative, so sqrtn(a^n) cannot equal |a| for odd n.

8 0
3 years ago
Which statement is equivalent to the inequality 14x-14>7x+7
topjm [15]
14x-14>7x+7

14x - 7x > 7 + 14

7x > 21

x > 21/7

x > 3

8 0
3 years ago
Other questions:
  • What is the volume of the solid figure (with congruent, parallel bases) that has a height of 11 feet and the following base? is
    7·1 answer
  • 1kg costs £1.28. what is the cost of 250g
    5·1 answer
  • Find x. Assume that segments that appear tangent are tangent.
    8·1 answer
  • Two congruent circles centered at points A and B each pass through the other circle's
    10·1 answer
  • Use the Distributive Property to solve the equation.<br> 3=3/4​(b-8)<br> ​Im so confused
    14·2 answers
  • Find the absolute value of the difference of the solutions of x^2-5x+5=0.
    6·2 answers
  • Solve for x.<br> 8<br> 6<br> X<br> A<br> 100<br> В<br> 10<br> С<br> 5.3<br> D<br> 14
    12·1 answer
  • Max found a jacket on sale for 35% off its original price. What per cent of the actual cost will Max pay for the coat?
    6·1 answer
  • How many tons are equal to 32,000 pounds?
    10·2 answers
  • What is the y-intercept of this quadratic function f(I)=-i2+10i-22
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!