Question

Multiple regression analysis involves _____ independent variable(s) and ______ dependent variable(s).

a. one; one
b. one; more than one
c. more than one; one
d. more than one; more than one
e. no; no

Answer 1

Multiple regression analysis involves the use of more than one independent variable to predict the outcome of a single dependent variable. The correct answer to the question is (c) more than one; one.

Step-by-step explanation:

Multiple regression analysis involves the exploration of the relationship between multiple independent variables and one dependent variable. In the case of this question, the correct option that describes the configuration of multiple regression analysis is (c) more than one; one. It is designed to assess how several independent variables contribute to the outcome of a single dependent variable.

Example Analysis with Multiple Regression

1. Determine the independent and dependent variables (e.g., age as independent and insurance premium as dependent).
2. Create a scatter plot to visualize the data points.
3. Utilize regression techniques to find the line of best fit and compute the correlation coefficient.
4. Interpret the correlation coefficient to understand the strength and direction of the relationship.
5. Evaluate if there is a linear relationship between the chosen variables.

With multiple regression, analyses can reveal complex relationships, such as how age and number of family members may both influence a dependent variable like grocery bill. This method is invaluable for making predictions based on multiple factors and for understanding the relative importance of each factor.