Statistical Inference and Regression Models MCQ part-6

Que.Which of the following tool is used for estimating standard errors and the bias of estimators?
a. knitr
b. jackknife
c. ggplot2
d. all of the mentioned
Que.Power is the probability of rejecting the null hypothesis when it is true.
a. True
b. False
c. May be True or False
d. Can’t say
Que.Point out the correct statement.
a. The mean is a measure of central tendency of the data
b. Empirical mean is related to “centering” the random variables
c. The empirical standard deviation is a measure of spread
d. All of the mentioned
Que.Which of the following implies no relationship with respect to correlation?
a. Cor(X, Y) = 1
b. Cor(X, Y) = 0
c. Cor(X, Y) = 2
d. All of the mentioned
Que.Normalized data are centered at ___ and have units equal to standard deviations of the original data.
a. 0
b. 5
c. 1
d. 10
Que.Point out the wrong statement.
a. Regression through the origin yields an equivalent slope if you center the data first
b. Normalizing variables results in the slope being the correlation
c. Least squares is not an estimation tool
d. None of the mentioned
Que.Which of the following is correct with respect to residuals?
a. Positive residuals are above the line, negative residuals are below
b. Positive residuals are below the line, negative residuals are above
c. Positive residuals and negative residuals are below the line
d. All of the mentioned
Que.Minimizing the likelihood is the same as maximizing -2 log likelihood.
a. True
b. False
c. May be True or False
d. Can’t say
Que.Which of the following refers to the circumstance in which the variability of a variable is unequal across the range of values of a second variable that predicts it?
a. Heterogeneity
b. Heteroskedasticity
c. Heteroelasticty
d. None of the mentioned
Que.Residuals are useful for investigating best model fit.
a. True
b. False
c. May be True or False
d. Can’t say

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