Data & Modeling Practice

DOK 1 Practice

Build fluency with scatterplots, association, linear model language, and residual basics.

These questions keep the data moves direct so students can identify trends, interpret model parts, and calculate simple residuals.

How to use this set

Ask: What are the variables? Is the trend positive, negative, or unclear? What does the model predict?

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Set Focus

Foundational data and modeling skills

DOK 1 questions reward accurate vocabulary, substitution, and reading the structure of a model.

Scatterplots

Describe positive, negative, and no association from the overall pattern.

Linear models

Use y = mx + b to identify slope, y-intercept, and predictions.

Residuals

Calculate residual = actual - predicted and interpret the sign.

Two-way tables

Read counts that combine two categorical variables.

Practice Questions

Data and Modeling Foundations

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

Question 1

Correlation direction

A scatterplot shows that as the number of hours studied increases, test scores tend to increase. What type of association is shown?

Question 2

Correlation direction

A scatterplot shows that as the age of a phone increases, its resale value tends to decrease. What type of association is shown?

Question 3

No association

Which description best matches a scatterplot with no association?

Question 4

Slope in context

A line of best fit for total cost y, in dollars, after x tickets is y=12x+5. What does the slope mean?

Question 5

Y-intercept in context

A line of best fit for a delivery cost is y=3x+8, where x is miles and y is dollars. What does the y-intercept mean?

Question 6

Prediction

Use the model y=4x+10 to predict y when x=6.

Question 7

Residual

For one data point, the actual value is 42 and the predicted value is 38. What is the residual?

Question 8

Residual sign

If a residual is negative, what does that tell you about the actual value?

Question 9

Two-way table

In a two-way table, what does a cell in the middle of the table usually represent?

Question 10

Model choice

A scatterplot has points clustered closely around a straight line. Which model is most appropriate?

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