3 Marks Each

Question 13 Marks

If $\bar{t}=3.5, \Sigma y=36, \Sigma t y=134$ for a time series, find the linear equation.

Answer

$\hat{y}=4.39+0.46 t$

Question 23 Marks

The following data is available for the variable $y$ of a time series. Fit a linear equation from it.
$n=9, \Sigma y=214, \Sigma t y=1051$

Answer

$\hat{y}=25.38-0.32 t$

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Question 33 Marks

Fit a linear equation from the following data about the variable $y$ of a time series.
$n=6, \Sigma y=378, \Sigma t y=1399$

Answer

$\hat{y}=47.81+4.34 t$

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Question 43 Marks

The information about the sale $($in lakh $₹)$ of a general store during the first ten months of the year $2019$ is as follows. Obtain the trend of this time series using the graphical method.

Time $t ($month$)$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
Sale $y_{(t)} ($lakh $₹)$	$12$	$24$	$20$	$15$	$19$	$22$	$25$	$41$	$44$	$38$

Answer

self-study

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Question 53 Marks

The following data are obtained about the female-male ratio from the census surveys in India for seven decades after independence. Obtain the linear trend by graphical method.