The least-squares regression line is: a. the line that passes through the most data points. b. the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible. c. the line such that half of the data points fall above the line and half fall below the line. d. All of the answer options are correct.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A political party sends a mail survey to 1500 randomly selected registered voters in a community. The survey asks respondents to give an opinion about the job performance of the current president. Of the 1500 surveys sent out, 480 are returned, and of these, only 120 show that the respondent is satisfied with the president's job performance. This is an example of:
  a.
a survey with little bias, because an individual will know for certain whether he or she approves of the president's job performance.
  b.
a survey with little bias, because 1500 voters represent an important part of the president's district.
  c.
a survey with no bias.
  d.
None of the answer options is correct.

 

The least-squares regression line is:
  a.
the line that passes through the most data points.
  b.
the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.
  c.
the line such that half of the data points fall above the line and half fall below the line.
  d.
All of the answer options are correct.
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