Question
Obtain the trend values for the data in problem 4 using 4-yearly centered moving averages.

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Evalute : $\int \frac{5 x^2-6 x+3}{2 x-3} d x$
The equation of the two lines of regression are 3x + 2y – 26 = 0 and 6x + y – 31 = 0. Find
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(iv) var (X) if var (Y) = 36
The following data about the sales and advertisement expenditure of a firms is given below (in ₹ crores)
SALESADV.EXP.
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S.D.1015
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Verify $y =a+\frac{b}{x}$ is solution of $x \frac{d^2 y}{d x^2}+2 \frac{d y}{d x}=0$
$ y=a+\frac{b}{x}$
$\frac{d y}{d x}=\square$
$\frac{d^2 y}{d x^2}=\square $
Consider $x \frac{d^2 y}{d x^2}+2 \frac{d y}{d x}$
$ =x \square+2 \square$
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Hence $y =a+\frac{b}{x}$ is solution of $\square$
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