ISYE 6414 Regression Modules 1-2
A negative value of B1 is consistent with an inverse relationship between x and y. - questions
and answers-True
A partial F-test can be used to test whether a subset of regression coefficients are all equal to
zero. - questions and answers-True
Adjuisted R2 is adjusted for what? - questions and answers-different number of predictive
variables.
An example of a multiple regression model is Analysis of Variance. (ANOVA). - questions and
answers-True
Assuming that the data are normally distributed, under the simple linear model, the estimated
variance has the following sampling distribution: - questions and answers-Chi-squared with n-2
degrees of freedom.
Before making statistical inference on regression coefficients, estimation of the variance of the
error terms is necessary. - questions and answers-True
Beta 1 is an unbiased estimator for Beta 0. - questions and answers-False
Conducting T tests on each beta parameter in a multiple regression model is the best way of
testing the overall significance of the model. - questions and answers-False
For a given predicting variable, the estimated coefficient of regression associated with it will
likely be different in a model with other predicting variables or in the model with only the
predicting variable alone. - questions and answers-True
For assessing the normality assumption of the ANOVA model, we can only use the
quantile-quantile normal plot of the residuals. - questions and answers-False
Given a qualtitative predicting variable with 7 categories in a linear regression model with
intercept, 7 dummy variables need to be included in the model. - questions and answers-False
Goodness of fit assessment is done by - questions and answers-residual analysis
If a departure from normality is detected, we transform the predicting variable to improve upon
the normality assumption. - questions and answers-False
If a departure from the independence assumption is detected, we transform the response
variable to improve upon the independence assumption. - questions and answers-False
, If one confidence interval in the pairwise comparison includes only positive values, we conclude
that the difference in means is statistically significantly positive? - questions and answers-True
If the constant variance assumption in ANOVA does not hold, the inference on the equality of
the means will not be reliable. - questions and answers-True
If we do not reject the test of equal means, we conclude that means are definitely all equal. -
questions and answers-False
If we reject the test of equal means, we conclude that all treatment means are not equal. -
questions and answers-False
If we reject the test of equal means, we conclude that at least one pair of means are different. -
questions and answers-True
In ANOVA number of degrees of freedom of the chi-square distribution for the pooled variance
estimator is N-k where k is the number of groups? - questions and answers-True
In ANOVA, the mean sum of squares divided by N-1 is - questions and answers-the sample
variance estimator assuming equal means and equal variances.
In ANOVA, the objective of residual analysis is to - questions and answers-evaluate departures
from the model assumptions.
In ANOVA, the objective of the pairwise comparison is - questions and answers-To identify the
statistically significant different means
In evaluating a simple linear model - questions and answers-there is a direct relationship
between the coefficient of determination and the correlation between the predicting and
response variables.
In MLR we study the relationship between a single response variable and several predicting
quantitative and/or qualitative variables. - questions and answers-True
In one confidence interval in the pairwise comparison does not include zero, we conclude that
the two means are plausibly equal. - questions and answers-False
In regression we are interested in one particular variable's response to one or more predictor
variables. - questions and answers-True
In regression, a response variable is a random variable. - questions and answers-True
In regression, predicting variables are random variables. - questions and answers-False
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