Consider the Four Points (20,20), (30,50), (40,30),and (50,60)

question 17

Multiple Choice

Consider the four points (20,20) , (30,50) , (40,30) ,and (50,60) .The least squares line is
= 5 + 50x.Explain what "least squares" means using these data as a specific example.

• A)The line = 5 + 50x minimizes the sum of the vertical distances from the points to the line.
• B)The line = 5 + 50x minimizes the sum of the squared vertical distances from the points to the line.
• C)The line = 5 + 50x minimizes the sum of the squared horizontal distances from the points to the line.
• D)The line = 5 + 50x minimizes the square of the standard deviation.
• E)The line = 5 + 50x minimizes the sum of the squared difference between the x and y values.

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