The regression line is the straight line that best represents the relationship between two variables on a scatter diagram.
It is used to estimate the value of y when the value of x is known.
The best line is the one that makes the sum of the squared differences between the actual values of y and the values predicted by the line as small as possible.
This method is called the method of least squares.
The regression equation of y on x is written as:
ŷ = a + bx
where b is the slope, meaning the expected change in y when x increases by one unit, and a is the value of y when x = 0.
Regression differs from correlation.
Correlation measures the strength and direction of a relationship without treating one variable as the cause of the other.
Regression assumes that y depends on x, and it gives an equation that can be used for prediction.
Regression · 1 / 7
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