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Statistics MCQ

TIME SERIES · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 22 questions.

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22 questions · timed · auto-graded

MCQ 11 Mark
Which of the following fluctuations is the effect of seasonal component ?
  • A
    Increase in the migration to cities from rural areas
  • B
    Increase number of vehicles on roads in a city
  • ✓
    Increase in the number of tourists during school vacation
  • D
    Increased death rate during a certain epidemic.
Answer
Correct option: C.
Increase in the number of tourists during school vacation
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MCQ 21 Mark
The trend equation obtained from a time series from January $2016$ to December $2016$ is $y = 30.1 + 1.5t.$ Find the value of trend for April $2016.$
  • A
    $30.1$
  • B
    $34.6$
  • ✓
    $36.1$
  • D
    $3.1$
Answer
Correct option: C.
$36.1$
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MCQ 31 Mark
Which of the following variations are due to cyclical component ?
  • A
    Rise in demand during winter
  • ✓
    Decrease in the share prices due to recession in share market.
  • C
    Decrease in the agricultural produce due to excessive rains
  • D
    Continuously decreasing death rate
Answer
Correct option: B.
Decrease in the share prices due to recession in share market.
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MCQ 41 Mark
Which component of the time series is impossible to predict ?
  • ✓
    Random component
  • B
    Trend
  • C
    Seasonal component
  • D
    Cyclical component
Answer
Correct option: A.
Random component
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MCQ 61 Mark
How do you show the additive model of the time series ?
  • A
    $y_t=T_t+S_t+C_t-R_t$
  • ✓
    $y_t=T_t+S_t+C_t+R_t$
  • C
    $y _{ t }= T _{ t } \times S _{ t }+ C _{ t } \times R _{ t }$
  • D
    $y_t=S_t+C_t+R_t$
Answer
Correct option: B.
$y_t=T_t+S_t+C_t+R_t$
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MCQ 71 Mark
Name the method for fitting the linear equation to find linear trend.
  • A
    Graphical Method
  • ✓
    Method of least squares
  • C
    Method of moving average
  • D
    Method of partial average
Answer
Correct option: B.
Method of least squares
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MCQ 81 Mark
Which variation is shown in ‘decrease in the production of a company’ due to strike ?
  • ✓
    Random
  • B
    Trend
  • C
    Seasonal
  • D
    Cyclical
Answer
Correct option: A.
Random
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MCQ 91 Mark
Which method of finding trend is best to eliminate the effect of repetitive short-term variations ?
  • A
    Graphical Method
  • B
    Method of least squares
  • C
    Karl Pearson’s method
  • ✓
    Method of moving average
Answer
Correct option: D.
Method of moving average
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MCQ 101 Mark
Which Type of variations are produced in the time series variable due to seasonal component ?
  • A
    Long-term
  • B
    Irregular
  • ✓
    Regular
  • D
    Zero
Answer
Correct option: C.
Regular
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MCQ 111 Mark
What is the duration of oscillation for cyclical fluctuations $’1’ ?$
  • A
    $5$ to $10$ years
  • B
    $1$ to $5$ years
  • ✓
    $10$ to $15$ years
  • D
    $10$ to $20$ years
Answer
Correct option: C.
$10$ to $15$ years
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MCQ 121 Mark
Write the formula to find the cyclical fluctuation.
  • ✓
    $C_t=y_t\left(T_t+S_t+R_t\right)$
  • B
    $C_t = y_t - T_t + S_t + R_t$
  • C
    $C_t = T_t - y_t + S_t + R_t$
  • D
    $C_t = T_t – (y_t + S_t + R_t)$
Answer
Correct option: A.
$C_t=y_t\left(T_t+S_t+R_t\right)$
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MCQ 131 Mark
What is the duration of oscillation for seasonal fluctuation ?
  • A
    $1$ year
  • ✓
    Less than $1$ year
  • C
    More than $1$ year
  • D
    $2$ to $10$ year
Answer
Correct option: B.
Less than $1$ year
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MCQ 141 Mark
Which of the following is the effect of cyclical fluctuation of time series ?
  • A
    Strike
  • B
    lockout in factories
  • ✓
    Recession
  • D
    none of these
Answer
Correct option: C.
Recession
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MCQ 151 Mark
By which fluctuation of time series does occur when boom and recession in economy is there ?
  • A
    Long term fluctuation
  • ✓
    Cyclical fluctuation
  • C
    Seasonal fluctuation
  • D
    Random fluctuation
Answer
Correct option: B.
Cyclical fluctuation
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MCQ 161 Mark
Increase in the sale of ready made garment during festival, which type of fluctuations does this indicate ?
  • A
    Cyclical fluctuation
  • B
    Long-term fluctuation
  • ✓
    Seasonal fluctuation
  • D
    Irregular fluctuation
Answer
Correct option: C.
Seasonal fluctuation
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MCQ 171 Mark
By which symbol is the seasonal fluctuations denoted ?
  • ✓
    $S_t$
  • B
    $V_t$
  • C
    $C_t$
  • D
    $R_t$
Answer
Correct option: A.
$S_t$
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MCQ 181 Mark
Long term fluctuation of the time series is also known as….
  • A
    Seasonal fluctuation
  • B
    Cyclical fluctuation
  • ✓
    Trend
  • D
    Irregular fluctuation
Answer
Correct option: C.
Trend
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MCQ 191 Mark
Which is the important component of a time series ?
  • A
    Time
  • ✓
    Trend
  • C
    Variable quantity
  • D
    Irregular fluctuation
Answer
Correct option: B.
Trend
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MCQ 211 Mark
Which variation is shown in increase in the sale of umbrellas of a company due to monsoon ?
  • A
    RANDOM
  • B
    Trend
  • ✓
    Seasonal
  • D
    Cyclical
Answer
Correct option: C.
Seasonal
C
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MCQ 221 Mark
The trend equation obtained from a time series from January 2016 to December 2016, is $ \hat{y}=30.1+1.5t $. Find the value of trend for April 2016.
  • A
    30.1
  • B
    34.6
  • ✓
    36.1
  • D
    33.1
Answer
Correct option: C.
36.1
C
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