The equations of two regression lines are given as follows:
4x – 5y + 30 = 0
20x−9y – 107 = 0
Calculate

(i) regression coefficients, byx and bxy;

(ii) correlation coefficient r(x, y);

(iii) Mean of X and Y; and

(iv) the value of σ_y if σ_x = 3

(i) Regression coefficients, bxy and byx:

To find the regression coefficients, we'll first find the slope of the two lines.

The equation for line 1 can be written as y = -4/5x + 6 The equation for line 2 can be written as y = 20/9x - 11.89

So, the slopes of the two lines are -4/5 and 20/9 respectively.

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