Calculate coefficient of correlation from the following data

X	12	9	8	10	11	13	7
Y	14	8	6	9	11	12	3

Find coefficient of correlation for the following:

Cost(Rs)	14	19	24	21	26	22	15	20	19
Sales(Rs)	31	36	48	37	50	45	33	41	39

Calculate rank correlation coefficient of the following data.

Subject 1	40	46	54	60	70	80	82	85	87	90	95
Subject 2	45	46	50	43	40	75	55	72	65	42	70

There are two series of index numbers P for price index and S for stock of the commodity. The mean and standard deviation of P are 100 and 8 and of S are 103 and 4 respectively. The correlation coefficient between the two series is 0.4. With these data obtain the regression lines of P on S and S on P.

You are given the following data:

Details	X	Y
Arithmetic Mean	36	85
Standard Deviation	11	8

If the Correlation coefficient between X and Y is 0.66, then find (i) the two regression coefficients, (ii) the most likely value of Y when X = 10