Questions: Fill in the blank. A straight line satisfies the if the sum of the squares of the residuals is the smallest sum possible. residual plot empirical rule rare event rule least-squares property

Fill in the blank. A straight line satisfies the if the sum of the squares of the residuals is the smallest sum possible.

residual plot empirical rule rare event rule least-squares property

Transcript text: Fill in the blank. A straight line satisfies the $\qquad$ if the sum of the squares of the residuals is the smallest sum possible. residual plot empirical rule rare event rule least-squares property

Solution

Solution Steps

Step 1: Understanding the Question

The question asks to fill in the blank regarding a property of a straight line in the context of minimizing the sum of the squares of the residuals. The options provided include terms related to statistical analysis.

Step 2: Identifying the Correct Term

The term that describes the property of a straight line that minimizes the sum of the squares of the residuals is known as the "least-squares property." This method is commonly used in linear regression to find the best-fitting line.

Step 3: Filling in the Blank

By substituting the correct term into the question, we arrive at the complete statement: "A straight line satisfies the least-squares property if the sum of the squares of the residuals is the smallest sum possible."

Final Answer

The answer is $\boxed{\text{least-squares property}}$.

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