Back to Fit a function to data — Problem 3 · Task Set 6

Exercises: Fit a Function to Data

Work through each section in order. When choosing a model family, justify
from BOTH the scatter plot's form and the context's mechanism. When using a
fitted function, substitute or solve carefully and state every answer with
units. Remember: a fitted model captures the overall trend — it need not pass
through every point — and predictions far outside the data range
(extrapolation) are not as trustworthy as predictions inside it.

Grade 10·23 problems·~35 min·Common Core Math - HS Statistics and Probability·standard·hss-id-b-6a
Work through problems with immediate feedback
A

Fluency Practice: Choosing the Model Family

For each scatter plot, decide which model family fits its form.

A scatter plot whose points stay low at first then curve steeply upward to the right.
1.

The scatter plot below shows a bacteria count versus hours: the points stay low at first, then curve steeply upward, roughly multiplying each hour. Which model family best fits this data?