I need a basic javascript [ECMASCRIPT] program for quadratic spline interpolation. Here is the assigment: Define the data points like this: p = [[0,3.8414709848078967],[0.6931471805599453,6.6818861490654635],[1.0986122886681098,7.5355691627323065],[1.3862943611198906,7.788374949171635],[1.6094379124341003,8.478827375073264],[1.791759469228055,9.887622378713294],[1.9459101490553132,11.440627194940042],[2.0794415416798357,12.307124413342725]] Using these points,build the quadratic spline interpolation piecewise continuous and differentiable set of quadratic polynomials that go through those points and evaluate the function at x=1.5. Connect the first two points with a straight line. Then use the ending point and slope together with the following point to build the quadratic equation using the attached Cramer's Rule function. Keep repeating this until your last interval includes the value x. Use that quadratic function to calculate the value of y.

Cramer's rule function:

{ y = -5x² -2x -6 } is (0,-6),-2,(1,-13) is { y = -5x² -2x -6 }

{ y = -5x² -2x -3 } is (0,-3),-2,(1,-10) is { y = -5x² -2x -3 }

{ y = -5x² -2x } is (0,0),-2,(1,-7) is { y = -5x² -2x }

{ y = -5x² -2x +3 } is (0,3),-2,(1,-4) is { y = -5x² -2x +3 }

{ y = -5x² -6 } is (0,-6),0,(1,-11) is { y = -5x² -6 }

{ y = -5x² -3 } is (0,-3),0,(1,-8) is { y = -5x² -3 }

{ y = -5x² } is (0,0),0,(1,-5) is { y = -5x² }

{ y = -5x² +3 } is (0,3),0,(1,-2) is { y = -5x² +3 }

{ y = -5x² +2x -6 } is (0,-6),2,(1,-9) is { y = -5x² +2x -6 }

{ y = -5x² +2x -3 } is (0,-3),2,(1,-6) is { y = -5x² +2x -3 }

{ y = -5x² +2x } is (0,0),2,(1,-3) is { y = -5x² +2x }

{ y = -5x² +2x +3 } is (0,3),2,(1,0) is { y = -5x² +2x +3 }

{ y = -2x -6 } is (0,-6),-2,(1,-8) is { y = -2x -6 }

{ y = -2x -3 } is (0,-3),-2,(1,-5) is { y = -2x -3 }

{ y = -2x } is (0,0),-2,(1,-2) is { y = -2x }

{ y = -2x +3 } is (0,3),-2,(1,1) is { y = -2x +3 }

{ y = -6 } is (0,-6),0,(1,-6) is { y = -6 }

{ y = -3 } is (0,-3),0,(1,-3) is { y = -3 }

{ y = 0 } is (0,0),0,(1,0) is { y = 0 }

{ y = 3 } is (0,3),0,(1,3) is { y = 3 }

{ y = 2x -6 } is (0,-6),2,(1,-4) is { y = 2x -6 }

{ y = 2x -3 } is (0,-3),2,(1,-1) is { y = 2x -3 }

{ y = 2x } is (0,0),2,(1,2) is { y = 2x }

{ y = 2x +3 } is (0,3),2,(1,5) is { y = 2x +3 }

{ y = 5x² -2x -6 } is (0,-6),-2,(1,-3) is { y = 5x² -2x -6 }

{ y = 5x² -2x -3 } is (0,-3),-2,(1,0) is { y = 5x² -2x -3 }

{ y = 5x² -2x } is (0,0),-2,(1,3) is { y = 5x² -2x }

{ y = 5x² -2x +3 } is (0,3),-2,(1,6) is { y = 5x² -2x +3 }

{ y = 5x² -6 } is (0,-6),0,(1,-1) is { y = 5x² -6 }

{ y = 5x² -3 } is (0,-3),0,(1,2) is { y = 5x² -3 }

{ y = 5x² } is (0,0),0,(1,5) is { y = 5x² }

{ y = 5x² +3 } is (0,3),0,(1,8) is { y = 5x² +3 }

{ y = 5x² +2x -6 } is (0,-6),2,(1,1) is { y = 5x² +2x -6 }

{ y = 5x² +2x -3 } is (0,-3),2,(1,4) is { y = 5x² +2x -3 }

{ y = 5x² +2x } is (0,0),2,(1,7) is { y = 5x² +2x }

{ y = 5x² +2x +3 } is (0,3),2,(1,10) is { y = 5x² +2x +3 }

{ y = 4.9375x² -20x } : (-4, 159) (-3, 104.4375) (-2, 59.75) (-1, 24.9375) (0, 0) (1, -15.0625) (2, -20.25) (3, -15.5625) (4, -1) (5, 23.4375) (6, 57.75) (7, 101.9375)