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Answer the following on regression and correlation.
The following table shows the Mean, the Standard Deviation and the coefficient of correlation of…
The following table shows the Mean, the Standard Deviation and the coefficient of correlation of two variables $x$ and $y$.
Calculate:
| Series | $x$ | $y$ |
|---|---|---|
| Mean | 8 | 6 |
| Standard deviation | 12 | 4 |
| Coefficient of correlation | 0.6 |
(a)[2.0]
the regression coefficients $b_{xy}$ and $b_{yx}$
(b)[2.0]
the probable value of $y$ when $x = 20$
Answer
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From ISC 2023 Mathematics Paper 1, question 22(i).
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.