The statement "The slope of the linear regression line can be calculated using any two points in the data." is always true for any two points.
What is regression line?
Linear regression shows the relationship between two variables by fitting a linear equation to observed data. One variable is considered to be an explanatory variable, and the other is considered to be a dependent variable.
A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.
Firstly, as per difinition the equation of linear regression line is
y= a + bx, where b is the slope of the line and a is intercept .
The formula to calculate the slope of the line be,
[tex]b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^{2}) - (\sum x)^2 }[/tex]
here n represent the number of data given in a question, x and y are the two points.
If we look at the formula with point x and y the slope can't be calculated.
Also, the equation of linear regression line , y= a+ bx also contain two points (x, y).
As per the discussion it is not possible to calculate the slope of linear regression line without two points.
Learn more about Linear regression line here:
https://brainly.com/question/17236116
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