Which of the following components of time series reflect the general tendency of the data to increase or decrease during a long period of time?
Trend
The "trend" component of a time series refers to the long-term direction in the data (whether it is increasing, decreasing, or stable) over an extended period of time. It shows the general tendency of the data to either rise or fall. Hence, the correct answer is "Trend".
The ______ is an unbiased estimator of the population mean.
If xi = i / 5 + 2, where i = 1, 2,..., 5, then the mean of x1, x2, ..., x5 is:
Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the E(XY = 2) is equal to:
On fitting of a trend line Y = a + bt on a time series (with year as a unit of time), the monthly increment/decrement is given by:
If M: Mean, Md: Median, Mo: Mode, Q1: First Quartile and Q3: Third Quartile, then which of the following is an absolute measure of skewness?
For a two-way classification with p treatments, q blocks and r observations per cell, the degrees of freedom for error and total, respectively, are:
Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the distribution of Z = X + Y is:
Which of the following is NOT true about ungrouped frequency distribution?
The relative frequency of a class is:
Let \( X \) follow Poisson distribution with mean \( \lambda \). If \[P(X = 2) = \frac{1}{2} P(X = 3),\] then the value of \( \lambda \) is:
The ______ is an unbiased estimator of the population mean.
If xi = i / 5 + 2, where i = 1, 2,..., 5, then the mean of x1, x2, ..., x5 is:
Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the E(XY = 2) is equal to:
On fitting of a trend line Y = a + bt on a time series (with year as a unit of time), the monthly increment/decrement is given by:
If M: Mean, Md: Median, Mo: Mode, Q1: First Quartile and Q3: Third Quartile, then which of the following is an absolute measure of skewness?