Estimating Values from Graphs Using Interpolation and Extrapolation

Mr. Barnes explains how to estimate values from graphs using interpolation and extrapolation. He provides examples of both methods, demonstrating interpolation by estimating between known data points and extrapolation by extending the graph beyond available data. The video concludes with a real-world application involving a jogging scenario, illustrating how these techniques can be applied practically.

What are the two main methods discussed for estimating values from graphs?

• Integration and differentiation

• Addition and subtraction

• Extrapolation and interpolation

• Multiplication and division

When estimating a value for x = 5.1, which method is used?

• Differentiation

• Interpolation

• Integration

• Extrapolation

In the interpolation example, what is the estimated value of y when x is 5.1?

• 4.0

• 3.6

• 3.0

• 5.0

What is the process of estimating values beyond the known data points called?

• Interpolation

• Approximation

• Extrapolation

• Integration

In the extrapolation example, what is the estimated value of y when x is 9.3?

• 5.7

• 6.0

• 5.0

• 4.5

In Jeff's jogging example, how far did Jeff jog in two minutes?

• 350 meters

• 360 meters

• 380 meters

• 370 meters

What method is used to estimate Jeff's jogging distance in two minutes?

• Interpolation

• Extrapolation

• Approximation

• Integration

If Jeff continues at the same pace, how long will it take him to jog 1000 meters?

• 6 minutes

• 5 minutes and 30 seconds

• 5 minutes

• 5 minutes and 45 seconds

What method is used to estimate the time taken for Jeff to jog 1000 meters?

• Approximation

• Interpolation

• Extrapolation

• Integration

What is the key difference between interpolation and extrapolation?

• Interpolation estimates outside the data range, extrapolation estimates within.

• Interpolation is more accurate than extrapolation.

• Interpolation uses addition, extrapolation uses subtraction.

• Interpolation estimates within the data range, extrapolation estimates outside.