b. Find two lines of regression from the following data
Age of Husband (x) | 25 | 22 | 28 | 26 | 35 | 20 | 22 | 40 | 20 | 18 |
Age of wife (y) | 18 | 15 | 20 | 17 | 22 | 14 | 16 | 21 | 15 | 14 |
Estimate (i) the age of husband when the age of wife is 19 and (ii) the age of wife when
the age of the husband is 30
Team Answered question May 9, 2024
Steps :
- assume mean
- dx=x-(assumed mean of x) , dy= y – (assumed mean of y )
- prepare an table and calculate summations of
x , y , dx , dy , dx^2 , dy^2 , dxdy - Now calculate mean of x and y
x mean = Σx/n and y mean = Σy/n - Now find regression coefficients bxy , byx
- Calculate regression lines
y on x
y – ymean= byx(x- xmean)
x on y
x- xmean = bxy(y-ymean) - Now solve the question by putting in the equation
Team Answered question May 9, 2024
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