Regression Equation: Y = a + bx

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. The slope of the line is b, and a is the intercept (the value of y when x = 0)

Where,

,             

 

           and           

Problem:

Find the Regression Equation and Line from the following data

X 1 2 4 5 7 8
Y 1 3 3 5 3 5

Solutions:

  and 

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