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The line of regression of marks in Maths ( ) and marks in English ( ) for a class of students is …
The line of regression of marks in Maths ($X$) and marks in English ($Y$) for a class of $50$ students is $3Y - 5X + 180 = 0$. The average score in English is $44$ and variance of marks in Maths is $\frac{9}{16}^{\text{th}}$ of the variance of marks in English. Find the average score in Maths. Also, find out the coefficient of correlation between marks in Maths and English.
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From ISC 2023 Specimen Mathematics Paper 1, question 21.