\"\"

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The equation of least squares regression line is \"\".

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The system of equations are

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\"\"                                         (Equation 1)

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\"\"                         (Equation 2)

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Observe the graph, the 6 points \"\"

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\"\" are lie on the line graph, so n = 6.

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\"\"

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\"\"                           (Expand of \"\")

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\"\"                             (Substitute values of x - coordinates) \"\"                              (Expand of \"\")

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\"\"     (Substitute values of y - coordinates)\"\" 

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\"\"                 (Expand of \"\")

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\"\"                       (Substitute values of square of x - coordinates)

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\"\"   (Expand of \"\")

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\"\" (Substitute values of xi yi) \"\"

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\"\"                           (Write equation 1)

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\"\"                                        (Substitute \"\")

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\"\"          (Write equation 2)

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\"\"                                      (Substitute \"\")\"\"

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Elimination Method: Change the system of equations are

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\"\"                                        (Write equation 3)

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\"\"                                      (Write equation 4)

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Neither variable has a common coefficient.The coefficient  of the b - variables are 6 and 15 and their least common multiply is 30, so multiply each equation by the values 5 and 2 that will make the b - coefficient 30.\"\"

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Subtract the equations to eliminate b - variable.

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Write the equations in column form and add the corresponding columns.

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\"\"

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The result value is \"\".\"\"

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Now, find the b value by substitute \"\" in either equations.

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\"\"                                         (Write equation 3)

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\"\"                             (Substitute \"\")

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\"\"                                            (Add 8.74 from each side)

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\"\"                                                       (Divide each side by 6)

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So, the equation of least squares regression line is \"\".\"\"

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The equation of least squares regression line is \"\".