A zero correlation coefficient between a pair of random variables means that there is no linear relationship between the random variables.
Indicate whether the statement is true or false
Q. 2Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 45 and 9, respectively. The mean and standard error of the sampling distribution of the sample mean are:
a. 45 and 9 c. 45 and 9/81
b. 45/81 and 9/81 d. 45/81 and 9/81
Q. 3The coefficient of determination is equal to the coefficient of correlation squared.
Indicate whether the statement is true or false
Q. 4The finite population correction factor should be used:
a. whenever we are sampling from an infinite population.
b. whenever we are sampling from a finite population.
c. whenever the sample size is large compared to the population size.
d. whenever the sample size is small compared to the population size.
Q. 5If the error variable is normally distributed, the test statistic for testing H0: 1 = 0 has a Student t-distribution with n - 2 degrees of freedom.
Indicate whether the statement is true or false
Q. 6A sample of size 40 is taken from an infinite population whose mean and standard deviation are 68 and 12, respectively. The probability that the sample mean is larger than 70 equals
a. P(Z > 70) c. P(Z > 0.17)
b. P(Z > 2) d. P(Z > 1.05)
Q. 7If the coefficient of determination is 0.95, this means that 95 of the y values were predicted correctly by the regression line.
Indicate whether the statement is true or false
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