If All the Points of a Scatter Diagram Lie on the Least

question 17

Multiple Choice

If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on these data is

• A)0
• B)1
• C)either 1 or -1, depending upon whether the relationship is positive or negative
• D)could be any value between -1 and 1

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Definitions:

True Statements

Assertions or claims that accurately reflect reality or are in accordance with facts.

Tautology

A redundant or repetitive statement in which the conclusion is identical to its premise in meaning.

Logic of Statements

The branch of logic that deals with the relationships between statements, including their validity and truth values.

Disjunction

A logical operation that combines two or more statements in such a way that the resulting statement is true if at least one of the original statements is true.