Find the regression equation for the following paired data. (1, 2),

gamau6v

gamau6v

Answered question

2021-12-02

For the following paired data, find the regression equation.
(1, 2), (3, 7), (5, 9), (9, 15), (4, 7)

Answer & Explanation

Himin1945

Himin1945

Beginner2021-12-03Added 12 answers

Step 1 
The equation is created by making the following table:
xyxyx2y2122143721949594525819151358122547281649x=22y=40xy=231x2=132y2=408 
Step 2 
Therefore it follows: 
x=225,y=405=8 
byx=nxyxynx2(x)2 
=5(231)22×405×132(22)2 
=2516 
Step 3 
Regression line y on x is 
yy=byx(xx) 
y8=2516(x225) 
Hence the regression equation is y=1.5625x+1.125.

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