THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 162

Multiple Choice

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.
-If the coefficient of determination is 1.0 in a regression problem,the:

• A)residual sum of squares must be 0.0.
• B)error sum of squares must be 1.0.
• C)regression sum of squares must be 1.0.
• D)total sum of squares must be 0.0.

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Definitions:

Regression Equation

A mathematical formula used to predict a value of a dependent variable based on the value(s) of one or more independent variables.

Scatter Plot

A graphical representation of the relationship between two quantitative variables, where each point represents an observation.

Line of Regression

A line that best fits the data points on a scatter plot, showing the relationship between an independent and a dependent variable.

Error of the Estimate

A measure of how much the observed data deviate from the fitted values in a regression analysis, often indicating the prediction error.