Test the following data table to see whether the data are quadratic.
x12345
y1391933
Calculate the first-order and second-order
differences.
x12345
y1391933
First-order difference
Second-order difference
Are the data quadratic?
Yes No
Given Data Table

To FIND First Order Difference you subtract consecutive y values

For example in this data table find
y2 - y1
y3 - y2
y4 - y3
y5 - y4
IF all these values are same than it can be said data is linear IF not then find Second Order Differnece

CLearly data is not same
So we find Second order Differnece
Let previous values be x1, x2, x3, x4

To find we find consecutive difference again

Since all the values are same we can say that data is quadratic
So In one table data looks something like this

Please comment for any further assitance
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