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
xy274116198211029xy510102030

The table gives 5 paired observations of x = load in kN and y = extension in mm. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 5
a =
2.Easy
xy18532160247027813084xy202530607080

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. Find the slope b.

n = 5
b =
3.Medium
xy12221931541451269xy246101520

The table gives 6 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 = 6
r² =
4.Medium
xy165519682278258528100xy20256080100

The table gives 5 paired observations of x = temperature in °C and y = ice creams sold. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 110Σy = 386Σx² = 2510Σy² = 30958Σxy = 8813
r =
5.Hard
xy1892209922106241292612728147xy2025100120140x = 25

The table gives 6 paired observations of x = temperature in °C and y = ice creams sold. Use the least-squares line ŷ = a + b·x. A new observation (25, 124) is made. Find its residual e = y − ŷ.

n = 6(25, 124)
e =
6.Hard
xy2641562082610301238xy51010203040ŷ = 10

The table gives 6 paired observations of x = load in kN and y = extension in mm. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 10?

n = 6ŷ = 10
x =

Answer key

  1. 1. a = 1.2
  2. 2. b = 2.767
  3. 3. r² = 0.9756
  4. 4. r = 0.994
  5. 5. e = −3.581
  6. 6. x = 2.853

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