Question

In a nonlinear regression model, the parameters or beta coefficients are linear. Is T or F?

Sampling error depends on the size of the sample relative to the population and is inherent in any sampling process. Is T or F?

The t-distribution is a family of probability distributions with a shape similar to the standard normal distribution. Is T or F?

The complement of an event A consists of all outcomes in the sample space not in A. Is T or F?

Answer 1

Ans:

1)In a nonlinear regression model, the parameters or beta coefficients are linear.(False,as it is non linear in parmaters also,e.g. logarithmic model)

2)Sampling error depends on the size of the sample relative to the population and is inherent in any sampling process.(True)

3)The t-distribution is a family of probability distributions with a shape similar to the standard normal distribution.(False,as the sample size increases,it approaches to normal distribution)

The t-distribution is symmetric and bell-shaped, like the normal distribution, but has heavier tails, meaning that it is more prone to producing values that fall far from its mean.

4)The complement of an event A consists of all outcomes in the sample space not in A.(True)