PRC-2 · Chapter 10 · Question 55 of 60
Which specific mathematical criterion does the 'Method of Least Squares' utilize to determine the optimal line of best fit?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) It strictly minimizes the sum of the squared vertical deviations (residuals) between the actual data points and the regression line.
Explanation
The least squares regression line is mathematically derived by strictly minimizing the total sum of the squares of the vertical errors (the physical difference between the observed Y values and the regression's predicted Y values).
More Correlation and Regression MCQs
- Q57If you calculate the regression line of Y on X, and then subsequently calculate the regression line of X on Y, under what strict…
- Q58What is the primary statistical function and inherent risk of utilizing a 'scatter diagram'?
- Q59If a set of data yields a flat regression equation of Y = 25 + 0X, what must be the mathematical value of the correlation coefficient (r)?
- Q60If the slope 'b' in a calculated regression equation is a negative number, what must inherently be true about the correlation coefficient…
- Q1What is the primary function of a scatter diagram in statistical analysis?
