Multiple linear regression/Quiz

Multiple linear regression practice quiz



1 Multiple linear regression (MLR) is a __________ type of statistical analysis.


2 The following types of data can be used in MLR (choose all that apply)

Interval or higher dependent variable (DV)
Interval or higher independent variables (IVs)
Dichotomous IVs

3 A linear regression (LR) analysis produces the equation Y = 0.4X + 3. 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

4 A LR analysis produces the equation Y = -3.2X + 7. This indicates that:

A 1 unit increase in X results in a 3.2 unit decrease in Y.
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.
An X value of 0 would would increase Y by 7.

5 The main purpose(s) of (LR) is/are (choose all that apply):

Predicting one variable on the basis of another
Explaining one variable in terms of another
Describing the relationship between one variable and another
Exploring the relationship between one variable and another

6 When writing regression formulae, which of the following refers to the predicted value on the dependent variable (DV)?

Y (hat)
X (hat)

7 The major conceptual limitation of all regression techniques is that one can only ascertain relationships, but never be sure about underlying causal mechanism.


8 In MLR, the square of the multiple correlation coefficient or R2 is called the

Coefficient of determination
Big R



1 In MLR, a residual is the difference between the predicted Y and actual Y values.


2 Shared and unique variance among multiple variables can be represented by a diagram that includes overlapping circles. This is referred to as a:

Homogeneity diagram
3-way scatterplot
Venn diagram (2 circles) or Ballantine diagram (3 or more circles)
Pie chart
Path diagram

3 In an MLR, the r between the two IVs is 1. Therefore, R will equal the r between one of the IVs and the DV. (Hint: Draw a Venn Diagram.)


4 In a MLR, if the two IVs are correlated with the DV and the two IVs are correlated with one another, the rps (partial correlations) will be _______ in magnitude than the rs (Hint: Draw a Venn Diagram.)

Impossible to tell

5 In MLR, the unique variance in the DV explained by a particular IV is estimated by its:

Zero-order correlation squared (r2)
Multiple correlation coefficient squared (R2)
Semi-partial correlation squared (sr2)

6 Interaction effects can be tested in MLR by using IVs that represent:

Cross-products between the IVs and DV
Cross-products of IVs
Semi-partial correlations squared (sr2)

7 A researcher wants to assess the extent to which social support from group members can explain changes in participants' mental health (MH) which is measured at the beginning and end of an intervention program. What MLR design could be used?

Hierarchical with pre-MH in Step 1
Hierarchical with cross-products of IVs in Step 2