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20 questions
Simple linear regression (SLR) is a __________ type of statistical analysis.
Univariate
Bivariate
Multivariate
The following types of data can be used in MLR (choose all that apply)
Interval or ratio dependent variable (DV)
Interval or ratio independent variables (IVs)
Dichotomous IVs
A linear regression (LR) analysis produces the equation Y = 3 + 0.4X. This indicates that:
When Y = 0.4, X = 3
When Y = 0, X = 3
When X = 3, Y = 0.4
When X = 0, Y = 3
Linear regression analysis produces an equation of Y = 7 - 3.2X. This indicates that:
An X value of 0 would would increase Y by 7.
A 1 unit decrease in X results in a 3.2 unit decrease in Y.
A 1 unit increase in X results in a 3.2 unit increase in Y.
A 1 unit increase in X results in a 3.2 unit decrease in Y.
The main purpose(s) of (LR) is/are (choose all that apply):
Exploring the relationship between one variable and another
Describing the relationship between one variable and another
Predicting one variable on the basis of another
Explaining one variable in terms of another
When writing regression formulae, which of the following refers to the predicted value on the dependent variable (DV)?
Y
Y (hat)
X
X (hat)
a
The major conceptual limitation of all regression techniques is that one can only ascertain prediction, but never be sure about underlying causal mechanism.
True
False
In MLR, the square of the multiple correlation coefficient or R2 is called the __________.
Variance
Covariance
Coefficient of determination
Big R
In linear regression, the residual refers to the difference between the predicted Y and actual Y values.
True
False
A regression model in which more than one independent variable is used to predict the dependent variable is called as _________.
a simple linear regression model
a multiple regression model
an independent model
A term used to describe the case when the independent variables in a multiple regression model are correlated is __________.
independence of residual
linearity of residual
multicollinearity
homocedasticity
A multiple regression model has the form: y = 8 - 3 X1 + 4 X2 .As X1 increases by 1 unit (holding X2 constant), y will _________.
decrease by 4 units
increase by 4 units
decrease by 3 units
increase by 3 units
A measure of goodness of fit for the estimated regression equation is the ______________
Which of the following is a TRUE description of adjusted R2? (Choose all that apply)
Adjusted R2 is less useful measure of how well a multiple regression equation fits the sample data than R2
Adjusted R2 increases only whenever your add any new independent variables that do increase the variances explained even due to chance factor.
Adjusted R2 always takes on a value between 0 and 1
The closer adjusted R2 is to 1, the better the estimated regression equation fits or explains the relationship between X and Y
The multiple coefficient of determination is computed by ________.
For a multiple regression model, SST = 200 and SSE = 50. The multiple coefficient of determination is ____________.
The ratio of MSR/MSE yields _________.
the t statistic
the f statistic
SST
SSR
SSE
Which of the following shows the BEST result of independence of residual?
2.09
2.89
1.89
2.01
Which is the strongest significant predictor in the study?
Math score
Female
Social studies score
Reading score
Stepwise regression method allows researchers to create the most parsimonious model.
Yes
No
Somewhat true
Somewhat false
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