Question

If The correlation between X and Y is 0.3, what is the correlation between 2x+3

5

and 4Y+7

11

?

Answer 1

Answer:

To discover the relationship between two unused factors made from the initial factors, we have to utilize the relationship coefficient equation.

Step-by-step explanation:

To begin with, we have to discover the cruel and standard deviation of the modern variable. For 2X+3, the cruel is twice the cruel of X additionally 3, and the standard deviation is twice the standard deviation of X. For 4Y+7, the mean is 4 times the cruel of Y furthermore 7, with 4 times the standard deviation. Standard deviation of Y.

Once you've got the cruel and standard deviation of your modern variable, you'll be able utilize the relationship coefficient equation to discover the relationship between the two modern factors. The equation for the relationship coefficient is:

r = (covariance of X and Y) / (standard deviation of X * standard deviation of Y)

Utilizing this equation, given the relationship coefficient between X and Y, it is able to discover the relationship coefficient between 2X+3 and 4Y+7.

r = (covariance of 2X+3 and 4Y+7) / (standard deviation of 2X+3 * standard deviation of 4Y+7)

You'll rearrange this equation utilizing the unused variable cruel and standard deviation equations.

r = (2 * covariance of X and Y) / (2 * standard deviation of X * 4 * standard deviation of Y)

r = (covariance of X and Y) / (2 * standard deviation of X * standard deviation of Y)

Embeddings the given esteem will result in:

r = 0.3 / (2 * 5 * 11)

r = 0.0036

So, the relationship between 2X+3 and 4Y+7 is 0.0036, exceptionally near to zero. This demonstrates that there is a small relationship between the two unused factors.

To learn more about unused factors, click on the given link

https://brainly.in/question/237810

To learn more about coefficients, click on the given link.

https://brainly.in/question/54874651

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