Solution
[tex]y=-2.5x-1.5[/tex]Let us test each of the coordinates points
at ( 2, 4 )
at x=2
[tex]\begin{gathered} y=-2.5(2)-1.5 \\ y=-6.5 \end{gathered}[/tex]No agreement with the y-coordinate
Let us test the second coordinate point ( 4 , 7 )
at x = 4
[tex]\begin{gathered} y=-2.5(4)-1.5 \\ y=-11.5 \end{gathered}[/tex]No agreement with the y-coordinate
Let us test the third coordinate point (5, 12 )
at x= 5
[tex]\begin{gathered} y=-2.5(5)-1.5 \\ y=-14 \end{gathered}[/tex]No agrement with the y-coordinate
Based on the information you have provided in the question , y= - 2.5x - 1.5 is not a correct regression equation for the line .
