Problem-Solving and Data Analysis
Lines of best fit, residuals, and correlation, plus choosing a linear or exponential model for data in a table.
A model only describes the data it came from. Predicting far outside that range, or treating a predicted value as an actual one, leads to the wrong choice.
Full skill name: Two-variable data: models and scatterplots
Pick an answer to check it and see why. Practice sets also have grid-ins, where you type the answer.
Easy
For a group of cities, the line of best fit relating a city's elevation x, in feet, to its average annual temperature y, in degrees Fahrenheit, is y = 68 − 0.004x. Based on the line of best fit, what is the predicted average annual temperature, in degrees Fahrenheit, for a city with an elevation of 2,500 feet?
Medium
A line of best fit for data collected over ages 5 to 12 predicts a child's height. Why might using this model to predict the height of a 40-year-old be unreliable?
Hard
The table shows the number of cells, in thousands, in a laboratory culture at four different times.
| Time (hours) | Number of cells (thousands) |
|---|---|
| 0 | 64 |
| 2 | 144 |
| 4 | 324 |
| 6 | 729 |
Which of the following equations best models y, the number of cells, in thousands, t hours after the first measurement?
Start a set in this skill. Every answer comes with an explanation.
47 questions in the bank: 8 Easy, 30 Medium, 9 Hard.