BSc Statistics SEM II 2021 2022 2022 DESCRIPTIVE STATS II Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt the following. 50 marks
   • 1) If r = 0.32, Cov(x, 15)
   • 2) Let x = 2y + 4 and y = kx + 6 are regression lines x on y and y the value of k
   • 3)The regression lines y on x and x on y are Sy-x=21 and 64x-45y= 31. Variance of x is
   • 4) The normal equations for a straight line y = ax + b are:
   • a) Ly = + nb and 2xy = + b2x b) Zxy = + nb and = +
   • c) Zy = + nb and = d) Ly = and = +
   • 5) If the values of two variables move in the opposite direction then
   • a) The correlation is said to be linear b) The correlation is said to be non - linear
   • c) The correlation is said to be positive d) The correlation is said to be negative
   • 6) The value of simple correlation coefficient lies in the
   • 7) The coefficient of correlation between two variables x and y is 0.48. The covariance is 36 and variance of x is 16. The S.D. of y is
   • 8) If the sum of squares of different of ranks of 6 candidates in 2 criteria is 21, the
   • 9) If Ly*=9, then coefficient of
   • 10) Index numbers are expressed in 7 11) Index Numbers may be categorized in terms of
   • 12) Price relatives are a percentage ratio of current year price and:
   • 13) Aggregative method is further divided into__ many types
   • 14) Laspeyre's index = 100, Paasche's index = 121, then Fisher's index =
   • 15) Most commonly used index number is number
   • 16) Price Index Numbers measures the changes in
   • a) relative changes in prices of commodities between two periods b) single variable
   • c) Physical quantity of goods of the Above
   • 17) Consumer price index numbers are obtained by formula
   • 18) In moving average method, we cannot find the trend values of some
   • a) Middle periods b) End periods Starting periods d) Between extreme period
   • 19) An orderly set of data arranged in accordance with their time of occurrence is called
   • 21) The method of moving average is used to find the ; a straight line equation Y = a + bX; b is the
   • 23) If years from 1998 to 2001, the sales are 200, 100, 300,400 respect. Then the 3 yearly trend
   • 24) The secular trend is measured by the method of semi-averages when:
   • a) Time series based yearly values Time series consists of even number of values
   • c) Trend is linear d) Time series depending on regression
   • 25)Increase in the number of patients in the hospital due to heat stroke is:
2. Q2 Attempt the following. Solve any Three. 15 marks
   • 1.Define scatter diagram. Also define Strong positive, weak negative and perfect positive correlation with the help of scatter diagram
   • 3. Find the regression coefficient and equation of regression lines from the following data. Also obtain y when x=10 and x when y=15
   • S.D. 04 03 Correlation Coefficient is 0.5
   • 4. Find the spearman's rank correlation from the following data
   • 5) Find the point of intersection from the following equation of regression lines
3. Q3 Attempt the following. Solve any Three, Define Time-series. Discuss its main components 15 marks
   • 2. Write note on measurement of seasonal variation
   • 3. Calculate 4 yearly moving average for the following data:
   • 4.The given table shows trend free figures of quarterly sales (in crs) made by a mega mall. Find the
   • 5.Find a linear trend by the method of least squares to the following data and estimate the trend value
4. Q4 Attempt the following. Solve any Three. 15 MARKS] Explain briefly various steps involved in construction of Index number
   • 2. What are the uses of Index number
   • 3. The cost of living index number for industrial workers is 215. Obtain group index for the group D
   • 4. For the following data, calculate price index number using (i) Dorbish-Bowly method, (ii)
   • 5. Calculate Chain base indices for the following data QS. Attempt the following. Solve any One. [05 MARKS] the correlation coefficient for the following data
   • 2. Calculate 3 yearly moving average for the following data
   • 3.For the following data index number calculated by weighted aggregative method

Read from the scan above, so a character or two may differ. The scan is the original.