Question

If we use the equation of the trend line, y = 12 x + 133, to estimate the number of calories in a fast food item that has 15 grams of fat, we find that there are approximately 313 calories in an item having 15 grams of fat. This is an example of _____ the data.

correlating
extrapolating
interpolating

Answer 1

I believe the answer to this is interpolating

A trendline is a line that gives the approximate relationship between the variables in the problem. It doesn't give exact values, only estimations. So when we found that 313 calories goes with 15 grams of fat, we found an estimation of the data.

So i believe interpolating should be your answer.

Hope this helped :)
Have a great day

Answer 2

This is an example of interpolating the data.

Explanation:

Interpolation means estimating any value within two known values in a given set of data. This is also used for simplifying functions by sampling data points.

A trend line is used to represent the behavior of a data set to check if there is a certain pattern.

Here in the given question, it is found that there are approximately 313 calories in an item having 15 grams of fat, means a pattern is estimated here. So, this tells that it is an example of interpolation of the data.