Question

If two regression coefficient byx = 0.16 and bxy = 4 then coefficient of correlation is
0.8
0.08
-0.8
0.64​

Answer 1

Answer:

coefficient byx= 0.16

coefficient byx= 4

coefficient of correlation=√byx.bxy

√(0.16)(4)=

√0.64=

0.8

Answer 2

Answer:

The coefficient of correlation is 0.8.

Option(a) is correct.

Step-by-step explanation:

Regression coefficient:

• For the purpose of describing the relationship between a predictor variable and the corresponding response, regression coefficients can be thought of as estimates of some unknown parameters. Regression coefficients.
• In other words, are used to estimate the value of an unknown variable from a known variable. By figuring out the equation of the best-fitted straight line, linear regression may quantify how a change of one unit in an independent variable affects the dependent variable. Regression analysis is the process in question.

Correlation coefficient:

• A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.

Given two regression coefficient are

         byx = 0.16 and byx = 4

 The coefficient correlation is  $\sqrt{(byx)(bxy)}$

         coefficient correlation = √(0.16)(4)

                                               = √0.64

                                               = 0.8  

  Hence, the coefficient of correlation is 0.8.

Know more about Variance:

https://brainly.in/question/8403667?referrer=searchResults

Know more about Standard deviation:

https://brainly.in/question/19941659?referrer=searchResults