Question

Test the following data table to see whether the data are quadratic. x12345 y1391933 Calculate the...

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    

0 0
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Answer #1

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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