Predicting Values Through Interpolation and Extrapolation Techniques

Predicting Values Through Interpolation and Extrapolation Techniques

Assessment

Interactive Video

Mathematics, Science, Other

9th - 12th Grade

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains the concepts of interpolation and extrapolation in data analysis. It begins by introducing the idea of making predictions using a line of best fit and differentiates between interpolation and extrapolation. Interpolation involves making predictions within the range of known data points, while extrapolation extends beyond this range. The video highlights the importance of identifying key points on a graph, known as the lower and upper poles, to understand these concepts. It also discusses the accuracy of interpolation compared to extrapolation, noting that interpolation is generally more reliable as it is based on existing data trends.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of the video tutorial?

The history of data analysis

The use of graphs in presentations

The difference between interpolation and extrapolation

How to draw a line of best fit

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When predicting a y value from an x value using a line of best fit, what is the process?

Go down and then across

Go across and then up

Go up and then across

Go across and then down

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Can interpolation and extrapolation be applied to non-linear graphs?

Only for quadratic graphs

Only for exponential graphs

Yes, they can be applied to any graph model

No, they are only for linear graphs

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two key points on a graph needed to differentiate interpolation from extrapolation?

The leftmost and rightmost points

The starting and ending points

The midpoint and endpoint

The highest and lowest points

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the term for making predictions between the lower and upper poles?

Extrapolation

Interpolation

Estimation

Approximation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is interpolation generally considered more accurate than extrapolation?

Because it uses more data points

Because it fits the data within known boundaries

Because it assumes trends will change

Because it is easier to calculate

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What assumption does extrapolation make about data trends?

That trends will reverse

That trends are unpredictable

That trends will continue in the same way

That trends will change

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