Obtain trend values for data, using 4-yearly centred moving averages Year 1971 1972 1973 1974 1975 1976 Production 1 0 1 2 3 2 Year 1977 1978 1979 1980 1981 1982 Production 4 6 5 1 4 10

Construct the following table for obtaining 4-yearly centred moving average for the data. Year t Production y_t 4-yearly moving total 4-yearly moving average 2 unit moving total 4-yearly centred moving averages trend value 1971 1 1972 0 4 1 1973 1 2.5 1.25 6 1.5 1974 2 3..5 1.75 8 2 1975 3 4.75 2.375 11 2.75 1796 2 6.5 3.25 15 3.75 1977 4 8 4 17 4.25 1978 6 8.25 4.125 16 4 1979 5 8 4 16 4 1980 1 9 4.5 20 5 1981 4 1982 10

Obtain trend values for data, using 4-yearly centred moving avera…

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Obtain trend values for data, using 4-yearly centred moving averages

Year	$1971$	$1972$	$1973$	$1974$	$1975$	$1976$
Production	$1$	$0$	$1$	$2$	$3$	$2$
Year	$1977$	$1978$	$1979$	$1980$	$1981$	$1982$
Production	$4$	$6$	$5$	$1$	$4$	$10$

COMMODITY	BASE YEAR		CURRENT YEAR
COMMODITY	PRICE p0	QUANTITY q0	PRICE p1	QUANTITY q1
X	12	35	15	25
Y	29	50	30	70

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Year $t$	Production $y_t$	4-yearly moving total	4-yearly moving average	2 unit moving total	4-yearly centred moving averages trend value
$1971$	$1$

$1972$	$0$
		$4$	$1$
$1973$	$1$			$2.5$	$1.25$
		$6$	$1.5$
$1974$	$2$			$3..5$	$1.75$
		$8$	$2$
$1975$	$3$			$4.75$	$2.375$
		$11$	$2.75$
$1796$	$2$			$6.5$	$3.25$
		$15$	$3.75$
$1977$	$4$			$8$	$4$
		$17$	$4.25$
$1978$	$6$			$8.25$	$4.125$
		$16$	$4$
$1979$	$5$			$8$	$4$
		$16$	$4$
$1980$	$1$			$9$	$4.5$
		$20$	$5$
$1981$	$4$

$1982$	$10$

Question Bank [2022] — Maths (commerce) STD 12 Commerce / Arts — Question

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