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Statistics MCQ

PART 1 : TIME SERIES · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 18 questions.

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18 questions · timed · auto-graded

MCQ 11 Mark
Which method of determining trend fails to give trend estimates for some period in the beginning as well as in the end ?
  • A
    Graphical method
  • B
    Least square method
  • ✓
    Moving average method
  • D
    Karl Pearson's method
Answer
Correct option: C.
Moving average method
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MCQ 21 Mark
The data about census survey in India conducted every ten years from independence till $2011$ are shown in a time series. What will be the value of $\bar{t}$ for these data?
  • A
    $2.5$
  • ✓
    $4$
  • C
    $3$
  • D
    $3.5$
Answer
Correct option: B.
$4$
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MCQ 31 Mark
If $\bar{y}=38$ and $b=3.2$ are found from a time series of five months, what should be the value of $a$ ?
  • A
    $47.6$
  • ✓
    $28.4$
  • C
    $46$
  • D
    $30$
Answer
Correct option: B.
$28.4$
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MCQ 41 Mark
If the linear equation obtained from the data of six years for a variable is $\hat{y}=-20.5-4 t$, what will be the estimate of the value for the seventh year?
  • A
    $48.5$
  • ✓
    $-48.5$
  • C
    $8.5$
  • D
    $-8.5$
Answer
Correct option: B.
$-48.5$
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MCQ 51 Mark
State the notation used for the disturbance variable of the linear model of a time series.
  • A
    $\Delta_t$
  • B
    $e_t$
  • ✓
    $u_t$
  • D
    $\hat{e}_t$
Answer
Correct option: C.
$u_t$
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MCQ 61 Mark
Which of the following variations can be said to be due to random component ?
  • A
    Rise in demand of kites in Uttarayan
  • B
    Rise in the use of mobile phones
  • C
    Increase in the number of customers of a restaurant on weekend
  • ✓
    Decrease in the national income due to war
Answer
Correct option: D.
Decrease in the national income due to war
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MCQ 71 Mark
The time series of which of the following variables shows decreasing trend ?
  • A
    The variations in death rate due to a specific epidemic
  • B
    Prices of shares during recession in stock market
  • ✓
    Continuously decreasing death rate
  • D
    The variations in the demand of an item due to new technology
Answer
Correct option: C.
Continuously decreasing death rate
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MCQ 81 Mark
Which of the following is irregular component of the time series?
  • A
    Trend
  • B
    Cyclical component
  • C
    Seasonal component
  • ✓
    Random component
Answer
Correct option: D.
Random component
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MCQ 91 Mark
What type of component is 'Trend' in a time series?
  • A
    Short term component
  • B
    Regular component
  • C
    Irregular component
  • ✓
    Long term component
Answer
Correct option: D.
Long term component
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MCQ 101 Mark
Which notation is used to represent 'Irregular component' in time series ?
  • A
    $T_f$
  • B
    $S_i$
  • ✓
    $R_t$
  • D
    $C_t$
Answer
Correct option: C.
$R_t$
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MCQ 111 Mark
Generally, what is the interval of oscillation for the seasonal variation ?
  • A
    more than one year
  • ✓
    less than one year
  • C
    $2$ to $10$ years
  • D
    $10$ to $15$ years
Answer
Correct option: B.
less than one year
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MCQ 121 Mark
Which variable is taken on $Y$-axis to draw a graph in a time series?
  • A
    $x$
  • B
    $T_t$
  • C
    $t$
  • ✓
    $y_t$
Answer
Correct option: D.
$y_t$
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MCQ 131 Mark
Which variable is taken on $X$-axis to draw a graph in a time series ?
  • A
    $y$
  • B
    $y_t$
  • ✓
    $t$
  • D
    $T_t$
Answer
Correct option: C.
$t$
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MCQ 141 Mark
Which of the following components is a long term component?
  • A
    Seasonal component
  • B
    Cyclical component
  • C
    Random component
  • ✓
    Trend
Answer
Correct option: D.
Trend
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MCQ 151 Mark
Which variation is shown in 'the number of literates in India over the last ten years' ?
  • ✓
    Trend
  • B
    Random component
  • C
    Seasonal component
  • D
    Cyclical componet
Answer
Correct option: A.
Trend
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MCQ 161 Mark
Which notation is used to represent the trend of a time series ?
  • A
    $y$
  • B
    $y_i$
  • ✓
    $T_t$
  • D
    $R_{ t }$
Answer
Correct option: C.
$T_t$
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MCQ 181 Mark
Which analysis is useful to obtain estimates of future values by statistical methods based on the data collected at specific intervals of time?
  • A
    Geometric series
  • B
    Arithmetic series
  • ✓
    Time series
  • D
    Harmonic series
Answer
Correct option: C.
Time series
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MCQ - Statistics STD 12 Commerce Questions - Vidyadip