1 a List the characteristics of a multinomial experiment b S

1) a) List the characteristics of a multinomial experiment

b) State the assumptions necessary for linear regression

c)What assumption(s) must hold true to use the normal distribution to construct a confidence interval for the unknown population proportion?

d) Explain the meaning of independent and dependent samples, giving one example of each.

e) Explain the meaning of the term \"coefficient of determination\" in the context of linear regression.

Solution

1)a)The characteristics of multinomial experiment is:

the experiment is consist of n trials (repeated).

each of the n trials are discrete numbers.

each trial is independent and unaffected by the other trials.

on each trial the probability of a particular outcome always remain constant.

b)The assumptions f linear regression is:

linear relationship between the two variables

all variables should be multivariate normal.

there should be little or no multicollinearity.

there should be no auto correlation

c)The random sample should be an SRS.

The population must be normal.

d)If the values of one sample affects the values of the other sample then the samples are dependent.Sample blood pressure of a group is measured at two different pointof time.

If the values of both the samples are independent of each other then the samples are independent.SAT scores of freshmen in two different colleges.

e)Coefficient of determination is the percentage of the response variable variation that is explained by a linear model.