
Understanding Linear Interpolation
Quiz
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Daniel NKUNDABANYANGA
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is linear interpolation?
A method for calculating the average of two numbers.
A process for sorting data points in ascending order.
A technique for finding the maximum value in a dataset.
Linear interpolation is a technique for estimating values between two known data points.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Explain the concept of extrapolation.
Extrapolation is the process of finding the average of a set of values.
Extrapolation refers to the calculation of probabilities based on random sampling.
Extrapolation is the process of estimating unknown values by extending a known sequence of values or trends.
Extrapolation is used to determine the exact value of a known quantity.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is linear interpolation used in data analysis?
Linear interpolation estimates unknown values between known data points by using a straight line.
Linear interpolation predicts future values based on past trends.
Linear interpolation only applies to categorical data.
Linear interpolation requires complex mathematical models to function.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for linear interpolation?
y = y0 + (y1 - y0) * ((x - x0) / (x1 - x0))
y = y1 - (y1 - y0) * ((x - x0) / (x1 - x0))
y = y0 * (x1 - x) + y1 * (x - x0)
y = (y1 + y0) / 2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Provide an example of linear interpolation between two points.
For points (2, 3) and (4, 5), the interpolated value at x = 3 is y = 4.
For points (0, 1) and (2, 3), the interpolated value at x = 1 is y = 2.
For points (1, 2) and (3, 4), the interpolated value at x = 2 is y = 3.
For points (1, 1) and (2, 2), the interpolated value at x = 1.5 is y = 1.5.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the limitations of linear interpolation?
Always provides accurate results beyond known data points
Can be used for any type of data
Assumes constant values between points
Limitations of linear interpolation include assumptions of linearity, inability to extrapolate, and lack of error consideration.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does linear extrapolation differ from interpolation?
Linear extrapolation uses a curve to estimate values.
Linear extrapolation estimates values outside known data, while interpolation estimates values within known data.
Interpolation can only be used for discrete data points.
Extrapolation is always more accurate than interpolation.
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