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Answer the following on regression and correlation.
The line of regression of marks in Statistics ( ) and marks in Accountancy ( ) for a class of 50…
The line of regression of marks in Statistics ($X$) and marks in Accountancy ($Y$) for a class of 50 students is $3y - 5x + 180 = 0$. The average score in Accountancy is 44 and the variance of marks in Statistics is $\left(\frac{9}{16}\right)^{\text{th}}$ of variance of marks in Accountancy.
(a)[2.0]
Find the average score in Statistics.
(b)[2.0]
Find the coefficient of correlation between marks in Statistics and marks in Accountancy.
Answer
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From ISC 2024 Mathematics Paper 1, question 21(ii).
Check your working with the Regression lines calculator: both regression lines, b_yx, b_xy and r from data, summary sums or the two lines; with estimates.