Question

Q11. If coefficient of correlation is zero, the two lines of regression are
(a) Perpendicular
(b) Same line
(C) Parallel
(d) None of these
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Answer 1

Answer

b) Same line

this answer written.

Answer 2

If the coefficient of correlation is zero, the two lines of regression are (c)parallel.

• The lines of regression will be if the correlation coefficient is zero. Regression line of y on x,

                                         (Y - Y bar) = 0,

         and x on y equals,

                                        (X - X bar) = 0.

• Regression lines, therefore, run parallel to axes.

• In correlation analysis, the correlation coefficient is the particular measurement that quantifies how strongly two variables have a linear relationship with one another.
• In correlation analysis, the coefficient is represented by the letter r.
• The relationship between distributed data points in every set is shown by a regression line.
• When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.
• While regression depicts the relationship as an equation, correlation measures the strength of the linear link between two variables.