The Pearson Correlation Between X₁ and Y Is R =

question 12

Multiple Choice

The Pearson correlation between X₁ and Y is r = 0.50 and the correlation between X₂ and Y is r = 0.20.How much variance for the Y scores is predicted by using both X₁ and X₂ as predictor variables in a multiple regression equation?​

• A)​0.25 or 25%
• B)​0.29 or 29%
• C)​0.70 or 70%
• D)​It cannot be determined from the information given.

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Definitions:

Linear Model

A type of statistical model that assumes a linear relationship between one or more independent variables and a dependent variable, represented by a straight line in a two-dimensional plane.

Regression Analysis

A statistical technique used to examine the relationship between a dependent variable and one or more independent variables.

Y-Intercept

The point at which a line crosses the y-axis on a graph, representing the value of y when x equals zero.

Regression Analysis

A statistical approach used to analyze the connection between a dependent variable and one or more independent variables.