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QuizMultiple Choice

Calculating the Least-Squares Regression Line — Quiz

Question 1 • Statistical Reasoning

The equation hat y is equal to negative 7 point 6 1 plus 0 point 1 9 x is called the least-squares regression line because it

Answer
A
passes through each data point.
B
minimizes the sum of the squared residuals.
C
maximizes the sum of the squared residuals.
D
is least able to make accurate predictions for the data.

Explanation

A least-squares regression line is chosen to make the sum of the squared residuals as small as possible. A residual is the difference between an observed y-value and the value predicted by the line. Therefore, the equation is called the least-squares regression line because it minimizes the sum of the squared residuals.

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