Linear regression & correlation worksheet with answers

Free printable Linear regression & correlation worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
xy229340434544640744xy24630354045

The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Use the least-squares line ŷ = a + b·x. Find the slope b.

n = 6
b =
2.Easy
xy126222322419515613xy246152025

The table gives 6 paired observations of x = car age in years and y = price in k€. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 6
a =
3.Medium
xy123220321417513xy241520

The table gives 5 paired observations of x = car age in years and y = price in k€. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
4.Medium
xy129224323424522xy2425

The table gives 5 paired observations of x = car age in years and y = price in k€. Find Pearson's correlation coefficient r.

n = 5
r =
5.Hard
xy140346558760967xy540506070x = 8

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. A new observation (8, 62) is made. Find its residual e = y − ŷ.

n = 5(8, 62)
e =
6.Hard
xy17542057236926752990xy2025306080x = 27.5

The table gives 5 paired observations of x = temperature in °C and y = ice creams sold. Use the least-squares line ŷ = a + b·x. Predict ŷ for x = 27.5.

n = 5x = 27.5
ŷ =

Answer key

  1. 1. b = 2.429
  2. 2. a = 28.4
  3. 3. r² = 0.8701
  4. 4. r = −0.8193
  5. 5. e = −2.4
  6. 6. ŷ = 82.5

Full step-by-step solutions: practise this topic on examproblems.com.