Data & Modeling Practice

DOK 2 Practice

Apply linear models, residuals, correlation, and two-way table reasoning in context.

This set asks students to make predictions, compare conditional percentages, and decide whether predictions are reasonable.

How to use this set

For every context, keep units attached to the variables. A complete answer explains what the number means.

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Set Focus

Applied data interpretation

DOK 2 questions usually require switching between graph, table, equation, and context.

Predictions

Use a fitted model to interpolate or extrapolate values.

Residuals

Measure how far actual values are from predicted values.

Correlation

Use r to describe direction and strength of a linear relationship.

Categorical data

Compare conditional percentages in two-way tables.

Practice Questions

Applications and Representation Switching

Check your answer first, then reveal the explanation when you want the model.

Question 1

Scatterplot interpretation

The scatterplot shows hours of practice and free throw percentage. Which statement best describes the relationship?

Practice hours and free throw percentage

Question 2

Line of best fit

A line of best fit for a data set is y=6x+20. What is the predicted value when x=9?

Question 3

Interpolation

A data set includes x-values from 2 to 12. Using its model to predict the value at x=8 is an example of what?

Question 4

Extrapolation

A data set includes x-values from 2 to 12. Using its model to predict the value at x=20 is an example of what?

Question 5

Residual calculation

A model predicts that a plant will be 31 cm tall. The actual height is 28 cm. What is the residual?

Question 6

Two-way table

The table shows survey results. What percent of students who chose online review passed?

Review method and EOC result

Review method	Passed	Did not pass	Total
Online	36	9	45
Paper packet	24	16	40
Total	60	25	85

Question 7

Association in categorical data

Using the table, which statement is best supported?

Review method and EOC result

Review method	Passed	Did not pass	Total
Online	36	9	45
Paper packet	24	16	40
Total	60	25	85

Question 8

Correlation coefficient

A data set has correlation coefficient r=-0.86. Which interpretation is best?

Question 9

Slope interpretation

A line of best fit for temperature y, in degrees, after x hours is y=-2x+72. What does the slope mean?

Question 10

Appropriate prediction

A line of best fit models car value for cars from 0 to 10 years old. Which prediction is least reliable?

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