Find the Least Squares Regression Line Y = Ax $\left( x _ { 1 } , y _ { 1 } \right) , \left( x _ { 2 } , y _ { 2 } \right) , \mathbf { K } , \left( x _ { n } , y _ { n } \right)$

question 48

Multiple Choice

Find the least squares regression line y = ax + b for the points $\left( x _ { 1 } , y _ { 1 } \right) , \left( x _ { 2 } , y _ { 2 } \right) , \mathbf { K } , \left( x _ { n } , y _ { n } \right)$ by solving the system for a and b. $\begin{array} { r } n b + \left( \sum _ { i = 1 } ^ { n } x _ { i } \right) a = \left( \sum _ { i = 1 } ^ { n } y _ { i } \right) \\\\\left( \sum _ { i = 1 } ^ { n } x _ { i } \right) b + \left( \sum _ { i = 1 } ^ { n } x _ { i } ^ { 2 } \right) a = \left( \sum _ { i = 1 } ^ { n } x _ { i } y _ { i } \right) \end{array}$ Points: $( 1,13 ) , ( 3,15 ) , ( 6,18 ) , ( 6,19 )$ space

• A)y = 11.81x + 1.11
• B)y = -1.09x + 11.81
• C)y = -4.30x - 7.24
• D)y = 1.11x + 11.81
• E)y = 4.01x - 7.24

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