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Punjab (PTB) · Chapter test · Free

2nd Year Statistics Chapter 7 TestAnalysis Of Time Series

30 marks · 40 minutes · 21 questions. Covers: CHAP 16: Analysis Of Time Series .

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2nd Year Statistics Chapter 7 Test

2nd Year · Statistics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. If an annual time series consisting of an even number of years is coded, then each coded interval is equal to:

    1. One year

    2. Half year

    3. Two years

    4. None of these

  2. Increase is demand of ice in summer is an example of:

    1. Secular trend

    2. Seasonal variation

    3. Cyclical variation

    4. Random variation

  3. Repetitive movements around the trend line in one year or less is:

    1. Secular trend

    2. Seasonal variations

    3. Cyclical variations

    4. Irregular variations

  4. A second degree parabola has:

    1. Two constants

    2. Three constants

    3. 2 or 3 constants

    4. Less than 2 constants

  5. Increase use of mobile phones in Pakistan is example of ...... variation:

    1. Trend

    2. Seasonal

    3. Cyclical

    4. Irregular

  6. The recession in the business is:

    1. Secular trend

    2. Seasonal variation

    3. Cyclical movement

    4. Irregular

  7. A trend is the better fitted trend for which the sum of the squares of errors is:

    1. Maximum

    2. Minimum

    3. Least

    4. B and c but not a

  8. The differences between the actual value and trend value is called:

    1. Slope

    2. Residual

    3. Intercept

    4. Sum of residual

  9. Suppose that a particular time series should be fitted with a linear trend . What do the X's represent in this formula?

    1. Coded values of the time variable

    2. A numerical constant that is determined by a formula

    3. Estimates of the dependent variable

    4. None of these

  10. For a least squares linear trend , the  when:

    1. All the y-values lie on the line

    2. All the y-values are positive

    3. All the y-values lie above the line

    4. None of them

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Define 'signal' and 'noise'.

  2. What is forecasting?

  3. Given . Determine the value of "b".

  4. Estimate y for x = 10 form the information n = 5, .

  5. What are the various methods of measuring secular trend in a time series?

  6. What do you mean by decomposition of a time series?

  7. What is meant by linear trend and trend values?

  8. Define semi average method.

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. If the linear trend in the data for the years 1960 to 1965 both inclusive with origin at the middle of 1962 and 1963 is , the unit of x being one year, then determine the trend line with origin at 1960 and hence determine the trend values.

  2. If the second degree parabola fitted to the data for 1970 to 1979 (both inclusive) with origin at the middle of 1974 and 1975 is Y = 100. 356 + 11.333X + 1.006X2, the unit of X being half year, find the trend values corresponding to the years 1970-79.

  3. Following are the annual profits. Construct historigram.

    Year 1977 1978 1978 1980 918 1982
    Profits 88 101 105 91 113 120