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Correlation and Regression Test – Algebra 1 Math (Printable PDF)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Algebra 1 Math Tests – Mathbot, the Math Made Easy robot coach, with free printable tests for Algebra 1
Looking for a correlation and regression test? Then this Algebra 1 test on Reading Two-Way Tables and Scatter Plots checks the whole chapter, with points for each question. This test has 8 questions worth 20 points. Allow 45 minutes and work without notes. A calculator is allowed. Show each step and write answers in context so that partial credit can be given.

Standards: S-ID.B.5, S-ID.B.6, S-ID.C.7, S-ID.C.8, S-ID.C.9 · Level: Grade 9 Algebra 1

Time: 45 minutes · 8 questions · Total: 20 points · Calculator: as allowed by your teacher

Question 1 Two-Way Table (3 points)

The table shows club choices of 120 students.

Drama Robotics Total
Grade 11 33 27 60
Grade 12 21 39 60
Total 54 66 120
  1. Find the joint relative frequency of Grade 12 students in robotics. (1 point)
  2. Find the marginal relative frequency of students in drama. (1 point)
  3. Find the conditional relative frequency of robotics among Grade 11 students. (1 point)

Question 2 Heart Rate and Workouts (3 points)

The scatter plot shows weekly hours of workout x and resting heart rate y in beats per minute. The line of best fit is ŷ = −1.9x + 78.3.

012345678955606570758085hours per weekheart rate
Resting heart rate and workouts.
  1. Describe the direction and strength of the association. (1 point)
  2. Interpret the slope in context. (1 point)
  3. Predict the heart rate for 5 hours of workout. (1 point)

Question 3 Find Residuals (2 points)

A model is ŷ = 2.5x + 10.

  1. At x = 6 the actual value is 28. Find the residual. (1 point)
  2. At x = 10 the actual value is 31. Find the residual. (1 point)

Question 4 Interpret a Correlation Coefficient (2 points)

A data set has r = −0.92.

  1. Describe the direction and strength of the relationship. (1 point)
  2. A student says that x causes y to decrease. Respond to the student. (1 point)

Question 5 Line Through Two Points (3 points)

A caterer’s cost follows a linear trend. The cost for 2 guests is $14 and the cost for 8 guests is $50.

  1. Find the slope and say what it means. (1 point)
  2. Write an equation for the cost y of x guests. (1 point)
  3. Predict the cost for 12 guests. (1 point)

Question 6 Residual Plot (2 points)

A residual plot for a linear model is shown.

0123456789-3-2-1123xresidual
Residual plot of a linear model.
  1. Is a linear model appropriate? (1 point)
  2. Justify your answer. (1 point)

Question 7 Correlation and Causation (3 points)

A school study finds r = 0.45 between eating breakfast and test scores.

  1. Interpret r. (1 point)
  2. Can we conclude that breakfast causes higher scores? Explain. (1 point)
  3. Name a possible lurking variable. (1 point)

Question 8 Compare Two Models (2 points)

Two lines are fitted to the same four points. Model A has residuals 4, −1, 2, −3. Model B has residuals 1, 2, −1, −2. Which model fits better? Show the calculation.

View the Correlation And Regression test answer key with scoring

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