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Answer the following on regression and correlation.
A school runs two training modules for sports competition. The data for a sample of 6 batches is…
A school runs two training modules for sports competition. The data for a sample of 6 batches is given below.
$X$: Average number of hours of extra training per batch
$Y$: Average improvement in scores per batch
$\sum x = 30$, $\sum y = 42$, $\sum xy = 199$, $\sum x^2 = 184$, $\sum y^2 = 318$
Using the above data, find:
(i)[2.0]
The regression coefficient of $Y$ on $X$ and $X$ on $Y$.
(ii)[2.0]
Calculate the average improvement in scores if the average training hours are 10.
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From ISC 2026 Improvement Mathematics Paper 1, question 21.
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.