Math  /  Data & Statistics

QuestionIf you wanted a more accurate way to fit the trend line to the data, a method called least squares could be used. This method finds the largest distance between the data points and the trend line.
Select one: a. TRUE b. FALSE

Studdy Solution

STEP 1

1. The problem involves understanding the least squares method.
2. The least squares method is used for fitting a trend line to data.
3. The statement claims that least squares finds the largest distance between data points and the trend line.

STEP 2

1. Understand the purpose of the least squares method.
2. Evaluate the statement based on the understanding of the least squares method.

STEP 3

The least squares method is a mathematical approach used to find the best-fitting line through a set of data points by minimizing the sum of the squares of the vertical distances (residuals) of the points from the line.

STEP 4

Evaluate the statement: The statement claims that the least squares method finds the largest distance between the data points and the trend line. However, the least squares method actually minimizes the sum of the squares of the distances, not finds the largest distance.
The correct answer is:
b. FALSE \boxed{\text{b. FALSE}}

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