# Multiple linear regression/Quiz

Multiple linear regression practice quiz

## MLR I

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

 univariate bivariate multivariate

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 Y (hat) X X (hat) a

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

 True False

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

 Coefficient of determination Variance Covariance Cross-product Big R

## MLR II

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

 True False

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.)

 True False

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.)

 Equal Smaller Larger 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