Question

Compare and contrast interpolations and extrapolations based on a scatterplot.

Answer 1

`Google definition of interpolations - Interpolation, in mathematics, the determination or estimation of the value of f(x), or a function of x, from certain known values of the function. If x0 < … ... If x < x0 or x > xn, the estimated value of f(x) is said to be an extrapolation. `
I got that from \(\href{https://www.google.com/search?ei=afXtX7b4M8Pt5gLui4eQBw&q=interpolation+definition+math&oq=interpolations&gs_lcp=CgZwc3ktYWIQARgAMgQIABBHMgQIABBHMgQIABBHMgQIABBHMgQIABBHMgQIABBHMgQIABBHMgQIABBHUABYAGCiU2gAcAR4AIABAIgBAJIBAJgBAKoBB2d3cy13aXrIAQjAAQE&sclient=psy-ab}{here}\)
Another Google definition| ` extrapolations - In mathematics, extrapolation is a type of estimation, beyond the original observation range, of the value of a variable on the basis of its relationship with another variable.`
Got it from \(\href{https://www.google.com/search?ei=SfbtX_VvzvbmAtjJm4AC&q=extrapolation+math+definition&oq=extrapolations+definition+&gs_lcp=CgZwc3ktYWIQARgCMgkIABDJAxAWEB4yBggAEBYQHjIICAAQFhAKEB46BAgAEEdQjwFYjwFgsgxoAHACeACAAV-IAV-SAQExmAEAoAEBqgEHZ3dzLXdpesgBCMABAQ&sclient=psy-ab}{here}\)