Question

if 4y-5x=15 is the regression line of y on x The coefficient of correlation between X and Y is 0.75 what is the value of regression coefficient of X on Y
The answer is 0.45
Please give explanation

Answer 1

Step-by-step explanation:

Given if 4y-5x=15 is the regression line of y on x The coefficient of correlation between X and Y is 0.75 what is the value of regression  coefficient of X on Y

• The answer is 0.45
• Please give explanation
• Given r = √b xy x b yx ------ 1
• Now regression line of y on x is given by
• Now given equation is 4y – 5x + 15
•                                     4y = 15 + 5x
•                                      Or y = 15 / 4 + 5/4 x
• So this is of the form of y = mx + b
•                                       Or y = 5/4 x + 15 / 4
• Therefore b yx = 5/4
• Also coefficient of correlation r = 0.75
•      Now substituting in 1 we get
•  0.75 = + - √ b xy x 5/4 x
• Squaring both sides we get
•         (0.75)^2 =  5/4 b xy
•         0.5625 = 5/4 b xy
•       Or b xy = 0.5625 x 4 / 5
•      Or b xy = 0.45

Reference link will be

https://brainly.in/question/16326401