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Answer the following on regression and correlation.
The correlation coefficient between and is . If the variance of is , the variance of is , mean of…
The correlation coefficient between $x$ and $y$ is $0.6$. If the variance of $x$ is $225$, the variance of $y$ is $400$, mean of $x$ is $10$ and mean of $y$ is $20$, find:
(i)[2.0]
the equations of two regression lines.
(ii)[2.0]
the expected value of $y$ when $x = 2$.
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From ISC 2020 Mathematics Paper 1, question 20(a).
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.