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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