The following data pertain to the amount of hydrogen present, \(y\), in parts per million in core drillings made at 1 -foot intervals along the length of a vacuum-cast ingot, \(x\), core location in feet from base:

(a) Draw a scatter plot to check whether it is reasonable to fit a parabola to the given data.

(b) Fit a parabola by the method of least squares.

(c) Use the equation obtained in part

(b) to estimate the amount of hydrogen present at \(x=7.5\).

Transcribed Image Text:

4 5 6 7 8 9 10 x 1 2 3 y 1.28 1.53 1.03 0.81 0.74 0.65 0.87 0.81 1.10 1.03