Question
The following information is obtained to study the relationship between average rainfall $($in $cm.)$ and the yield of maize $($in quintal per hectare$)$ in different taluka of Gujarat :
Particulars Rainfall $(cm)$ Yicld of Maize $($Quintal per hectare$)$
Mean $30$ $500$
variance $25$ $10,000$
Correlation coefficient $= 0.80$
Estimate the yield of maize when the rainfall is $70\ cm$.OR Obtain the regression line of $Y$ on $X$ from the following data and estimate $Y$ for $X=30 . n=10, \sum x=250, \sum y=300, \sum x y=7900, \sum x^2=6500$

Answer

$\hat{y}=185 or \hat{y}=38$

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