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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 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.
= 5 + 50x.Explain what "least squares" means using these data as a specific example.


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

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