The strength of the linear relationship between two quantitative variables is determined by the value of correlation coefficient ([tex]r[/tex]).
The correlation coefficient ([tex]r[/tex]) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.
correlation( [tex]r[/tex]) is calculated using the formula
[tex]r=\frac{1}{n-1} \sum_{i=1}^{n}(\frac{x_i-x}{s_x})(\frac{y_i-(y\bar)}{s_y})[/tex]
Linear relationship is a statistical term used to describe a straight line relationship between two variables. Linear relationship can be expressed either in graphical format and mathematical format.
Mathematically, a linear relation is one which satisfies the equation:
[tex]y=mx+b[/tex]
where,
"m" is the slope.
"b" is the value of [tex]y[/tex] when [tex]x=0[/tex]
The strength of the linear relationship between two quantitative variables is determined by the value of correlation coefficient([tex]r[/tex]).
To learn more about the correlation coefficient here
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