Question
Following data is collected on two mutually dependent variables $X$ and $Y$ : $n=25, \Sigma x=125, \Sigma y=100, \Sigma x y=508, \Sigma x^{2}=650, \Sigma y^{2}=440$ obtain the regression line of $Y$ on $X$. Estimate $Y$ for $X=15$.
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| Year | $2014$ | $2015$ | $2016$ | $2017$ | $2018$ |
| Index number | $80$ | $110$ | $120$ | $105$ | $200$ |