Questions

2 Marks Each

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12 questions · timed · auto-graded

Question 12 Marks
If $n=8, b=3.05$ and $a=23.56$ for a time series, find the estimated value of variable $y$ for $t=9$.
Answer
For $t=9, \hat{y}=51.01$
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Question 32 Marks
If $\bar{t}=3, \Sigma y=615$ and $\Sigma t y=1910$ for a time series, find the linear equation for trend.
Answer
$\hat{y}=103.5+6.5 t$
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Question 42 Marks
The linear equation for the trend of a time series is $\hat{y}=71.78-5.08 t$. State the values of $a$ and $b$. Also find the trend values for $t=6$ and $t=7$.
Answer
$a=71.78, b=-5.08$, For $t=6, \hat{y}=41.3$, For $t=7, \hat{y}=36.22$
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Question 52 Marks
The trend line for a time series of the production of sugar $($in quintals$)$ is $\hat{y}=55.9+6.7 t$. Find the trend value for $t=3$ and $t=5$.
Answer
For $t=3, \hat{y}=76$ quintal, For $t=5, \hat{y}=89.4$ quintal
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2 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip