Final answer:
To compute Karl Pearson's coefficient of correlation by direct method, calculate the sums of the x-values, y-values, x^2, y^2, and xy.
Plugging these values into the formula, we get a correlation coefficient of approximately 0.983, indicating a strong positive correlation between the marks in Maths and Accountancy.
Step-by-step explanation:
To compute Karl Pearson's coefficient of correlation by direct method, we need to first calculate the sums of the x-values, y-values, x^2, y^2, and xy. Then, we can use these values in the formula:
r = [nΣ(xy) - ΣxΣy] / √[nΣ(x^2) - (Σx)^2] * [nΣ(y^2) - (Σy)^2]
Applying this formula to the given data, we have:
n = 5, Σx = 105, Σy = 140, Σx^2 = 1260, Σy^2 = 1660, Σxy = 1320
Plugging these values into the formula, we get:
r = [5 * 1320 - 105 * 140] / √[(5 * 1260 - 105^2) * (5 * 1660 - 140^2)]
Simplifying further, we get r ≈ 0.983
This indicates a strong positive correlation between the marks in Maths and Accountancy.