For the given lines of regression 3X – 2Y = 5 and X – 4Y = 7. Find
(i) Regression coefficients
(ii) Coefficient of correlation

The heights ( in cm.) of a group of fathers and sons are given below

Heights of fathers:	158	166	163	165	167	170	167	172	177	181
Heights of Sons:	163	158	167	170	160	180	170	175	172	175

Find the lines of regression and estimate the height of son when the height of the father is 164 cm.

The following data relate to advertisement expenditure(in lakh of rupees) and their corresponding sales( in crores of rupees)

Advertisement expenditure	40	50	38	60	65	50	35
Sales	38	60	55	70	60	48	30

Estimate the sales corresponding to advertising expenditure of Rs. 30 lakh.

For 5 observations of pairs of (X, Y) of variables X and Y the following results are obtained. ΣX = 15, ΣY = 25, ΣX² = 55, ΣY² = 135, ΣXY = 83. Find the equation of the lines of regression and estimate the values of X and Y if Y = 8; X = 12.

A random sample of recent repair jobs was selected and estimated cost, actual cost were recorded.

Estimated cost	30	45	80	25	50	97	47	40
Actual cost	27	48	73	29	63	87	39	45

Calculate the value of spearman’s correlation.