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Which of the following is NOT true? Suppose we fit the least-squares regression

ID: 3394946 • Letter: W

Question

Which of the following is NOT true?

Suppose we fit the least-squares regression line to a set of data. Points with unusually large values of the residuals are called outliers.

The least-squares regression line is the line that makes the sum of the squares of the vertical distances of the data points from the line as small as possible.

The square of the correlation coefficient r is the proportion of the data lying on the least-squares regression line.

The mean of the residuals from least-squares regression is 0.

Explanation / Answer

Suppose we fit the least-squares regression line to a set of data. we call any individual points with unusually large values of the residuals as 'outliers'
  
The least squares regression line of y on x is the line that makes the sum of the squares of the vertical distances of the data points from the line as small as possible
  
The mean of the residuals from least squares regression is alwasy zero.
  

[ANSWER]
The square of the correlation coefficient r is the proportion of the data lying on the least-squares regression line. IS NOT TRUE
  

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