Which of the following statements is false regarding the assumptions for inferences about the linear correlation coefficient?
a. The set of (x, y) ordered pairs forms a random sample.
b. The y values at each x have a normal distribution.
c. Inferences about the linear correlation coefficient use the t-distribution with (n 1) degrees of freedom.
d. None of the above.
Q. 2A Poisson process is the occurrence of a series of events of a given type in a random pattern over time or space such that (1) the number of occurrences within a specified time or space can equal any integer between zero and infinity, (2) the number of occurrences within one unit of time or space is independent of that in any other such (non-overlapping) unit, and (3) the probability of occurrences is the same in all such units.
Indicate whether the statement is true or false
Q. 3Which of the following statements is false?
a. Inferences about the linear correlation coefficient are about the pattern of behavior of the two variables involved and the usefulness of one variable in predicting the other.
b. Significance of the linear correlation coefficient means that you have established a cause-and-effect relationship.
c. The linear correlation coefficient of the population is denoted by the Greek letter .
d. None of the above.
Q. 4The Poisson random variable is the number of successes achieved when a random sample of size n is drawn without replacement from a population of size N within which M units have the characteristic that denotes success.
Indicate whether the statement is true or false
Q. 5If the covariance for a single set of bivariate data is 0.75, while the standard deviation of x is 2.5 and the standard deviation of y is 3.2, then the coefficient of linear correlation is
a. 0.234.
b. 0.300.
c. 0.094.
d. 0.265.
Q. 6The Poisson probability distribution is an example of a continuous probability distribution.
Indicate whether the statement is true or false
Q. 7If the coefficient of linear correlation and the covariance for a single set of bivariate data are 0.582 and 0.854, respectively, and the standard deviation of x is 1.625, then the standard deviation of y is
a. 0.681.
b. 0.526.
c. 1.107.
d. 0.903.
Q. 8The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.
Indicate whether the statement is true or false
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