In a Simple Linear Regression Problem, Suppose the Sum of Squares

question 154

Multiple Choice

In a simple linear regression problem, suppose the sum of squares for regression (SSR) is 90. Which of the following must be true?

• A) The correlation coefficient is 0.9.
• B) The coefficient of determination is 0.81.
• C) The total sum of squares (Total SS) is at least 90.
• D) The sum of squares for error (SSE) is at most 90.
• E) The coefficient of determination is 90.

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Definitions:

Y-intercept

The point where a line or curve intersects the y-axis of a graph, corresponding to the value of the dependent variable when all independent variables are zero.

Least Squares Line

A line of best fit determined by minimizing the sum of squares of the differences between observed values and the values predicted by the line.

Sample Regression Line

A line of best fit through a scatterplot of sample data points in regression analysis, used to estimate the relationship between variables.

Correlation Coefficient

A statistical measure that quantifies the degree to which two variables vary together.