The two regression lines are 3X + 2Y = 26 and 6X + 3Y = 31. Find the correlation coefficient.

A survey was conducted to study the relationship between expenditure on accommodation (X) and expenditure on Food and Entertainment (Y) and the following results were obtained:

Details	Mean	SD
Expenditure on Accommodation (Rs)	Rs. 178	63.15
Expenditure on Food and Entertainment (Rs)	Rs 47.8	22.98
Coefficient of Correlation	0.43

Write down the regression equation and estimate the expenditure on Food and Entertainment, if the expenditure on accommodation is Rs. 200.

Find the coefficient of correlation for the following data:

X	35	40	60	79	83	95
Y	17	28	30	32	38	49

X and Y are a pair of correlated variables. Ten observations of their values (X, Y) have the following results. ΣX = 55, ΣXY = 350, ΣX² = 385, ΣY = 55, Predict the value of Y when the value of X is 6.

The following information is given

Details	X(in Rs.)	Y(in Rs.)
Arithmetic Mean	6	8
Standard Deviation	5	\(\frac{40}{3}\)

Coefficient of correlation between X and Y is \(\frac{8}{15}\) . Find (i) The regression Coefficient of Y on X (ii) The most likely value of Y when X = Rs.100.