Consider the following time series data :
Fitting a straight-line, is the trend value for the year 1992 is :
Let A and B be the two possible outcomes of an experiment and suppose P(A) = 0.4, P(A U B) = 0.7 and P(B) = p, for what choice of p, A and B independent?
In multiplicative model of time series: Xt= Tt x St x Ct x It, where Tt , St , Ct , It are trend, seasonal, cyclical and irregular components, what can be said about the values of It?
For four observations 1, 0, 1, 4, the measure of kurtosis equals
To remove quadratic trend from an additive time series, differencing :
For two equally likely, exhaustive and independent events A and B, P(A ∩ B) is :
In a multiplicative time series model, the seasonal indices computed by the ratiototrend method
Following histogram shows certain frequency distribution against class intervals.
Fill up the blank: The secular trend is the part of time points where more or less regular and _______ is observed showing either the tendency of growth or decline.
Demand for seats in a university is at its highest in the fall; demand also trends to grow and fall off in 25 year waves. In time service forecasting, the former demand characteristic would be called_______ and the latter would be called ___________.
A closet contains 8 pairs of shoes. If 4 shoes are chosen at random, then the probability that all the four shoes are of the same type (left or right) is :
If the equation of exponential trend with 2004 as origin is Y= 20(1.5)x , Then equation of the exponential trend with 2006 as origin is :
Moments are statistical constants from which we can find the different features of a distribution. Which one of the following is INCORRECT ?
If the trend line with 2008 as origin is Y= 20.6 + 1.68X, then the trend line with 2004 as origin is :
If A1 , A2 and A3 are three independent events with P(A1 ) = 1/3, P(A2 ) = 1/4 and P(A3 ) = 2/5, then the probability that exactly one of the events occurs is :
If the annual trend of production (Y) of a certain commodity in a factory with origin 2,000 and X unit = one year is Y= 148.8 + 7.2X Then the monthly trend equation is :
Based on results of 2 way ANOVA, the SSE was computed to be 139.4. If we ignore one of the factors and perform one way ANOVA using the same data, SSE will :
In a class, there are 25 students whose average age decreases by 3 months when one student aged 22 years is replaced by a new student. The age of the new student is :
Ratio to trend method for seasonal indices provide good results if:
If P(A ∩ B) = 1/2, P(Ac ∩ Bc ) = 1/2 and 2P(A) = P(B) = p, then the value of p is :
In ANOVA for testing the equality of group means, one conducts
Suppose two distributions have the same mean, same standard deviation and are equally skewed, but the first distribution is more peaked than the other. This feature of the frequency distributions in which they are different are called :
In the oneway analysis of variance model with k factors, let MSE denote the mean sum of squares due to error, MST denote the mean sum of squares due to factors, MTS denote the mean total sum of squares. For testing and homogeneity of the factor means, the test statistic is
Which of these statements on variation is INCORRECT?
Suppose rxy is the correlation coefficient between two variables X and Y where s.d.(X) = s.d.(Y). If θ is the angle between the two regression lines of Y on X and X on Y then :
The data taken from the publication "sankhya" will be considered as :
An ANOVA procedure is used for data obtained from five populations. Five samples were taken from the 5 populations each comprising of 20 observations. The degree of freedom associated with F is :
If a data set contains n paired values on two variables x(independent) and y(dependent), then their plot is called :
In the analysis of twoway classified data if p and q are the number of levels of the two factors then an unbiased estimator for the error variance is given by
The mean and standard deviation (s.d.) of runs scored by three batsmen A,B and C in 9 consecutive matches are given below,
Considering coefficient of variations as the measure of consistency,
which of the following is correct: