Question

Using the trend line y = 8x + 8 to estimate how long it will take Yumiko to run 5 mi is an example of either interpolation, extrapolation, causation, or causation

Distance (mi): 2 2.5 3 3.5 4
Time (min): 23 28 34 34 40

Answer 1

Explanation:

Answer 2

Extrapolation

Explanation:

Given the data:

Distance (mi): 2 2.5 3 3.5 4

Time (min): 23 28 34 34 40

Line of best fit for the data:

y = 8x + 8

Making use of the best fit equation to make prediction of time is an example of extrapolation. This is because our result will be based in the fact that further prediction of the time it takes for any predicted distance will follow the same trend. Hence, it is important to note that a best fit line or regression model uses extrapolation techniques to make predictions.

Hence,

For the above ; estimate for X =5 will be ;

y = 8(5) + 8

y = 40 + 8

y = 48 minutes