Assertion (A): If regression coefficient of X on Y is greater than one, regression coefficient of Y on X must be less than one. Reason (R): The geometric mean between two regression coefficients is the co-efficient of correlation.
On the basis of the above, choose the appropriate answer :
Which of the following statements relating to the sampling theory are correct?
1. The values of the statistical measures based on the sampled units are called values of statistics.
2. In the simple random sampling technique, the element of the population and the unit of the sample are different.
3. Snow-ball sampling technique is a probability based sampling technique.
4. The 'law of statistical regularity' and the 'law of inertia of large numbers' are the main bases of the sample to become representative of the population.
Choose the correct answer:
Statement I: The absolute value of the difference between an unbiased estimate and the corresponding population parameter is called sampling error. Statement II: Multi-stage sampling is a restricted non-probability based sampling technique.
The following are the estimated regression equations for x and y variables.
x = 0.85y
y = 0.89x
With this information, the value of the coefficient of correlation would be
A hypothesis test is being performed for a process in which a type I error will be very costly, but a type II error will be relatively inexpensive and unimportant. Which of the following would be the best choice for alpha (α) in this test?