Answer in Statistics and Probability for kapil kumar #204908
October 24th, 2022
co-efficients of correlation, and The two regression equations from the following informationN= 10, ∑X= 350, ∑Y= 310, ∑(X-35)2 = 162, ∑(Y-31)2 = 222, ∑(X-35)(Y-31)= 92
“u2211(xu221235)^2=162=u2211dx^2=162”
“u2211(yu221231)^2=222=u2211dy^2=222”
“u2211(xu221235(yu221231)=92=u2211dxdy=92”
Regression equation “X- Xu00af = b_{xy} Y-Yu00af”
“u200b”
“b_{xy} =frac {Nu2211XY – u2211Xu2211Y}{Nu2211Y^2 -(u2211Y)^2}”
= “=frac{ 10 (108500) -108500}{10(96100) -96100}”
“=frac{ 976500}{864900}”
“b_{xy}= 1.13”
“xu00af= u221a162”
“= 12.73”
“Yu00af=u221a222”
“= 14.9”
Regression equation of X on Y
“X – 12.73 = 1.13(Y -14.9)”
“X =1.13Y -2.17”
Regression equation of Y on X
“Y – Yu00af= b_{xy} (X-Xu00af)”
“= Y – 14.9 = 1.13(X -12.73)”“Y = 1.13X + 2.17”
