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
xy2544596728901093xy5106080

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 5
a =
2.Easy
xy130226322420522617xy246202530

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
xy1646196222792510128106xy20256080100

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 = 394Σx² = 2510Σy² = 33638Σxy = 9145
r =
4.Medium
xy274116138151018xy5101015

The table gives 5 paired observations of x = load in kN and y = extension in mm. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
5.Hard
xy144216551869207522842493xy152025406080x = 21

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 (21, 78) is made. Find its residual e = y − ŷ.

n = 6(21, 78)
e =
6.Hard
xy351453556667773xy46506070ŷ = 69

The table gives 5 paired observations of x = advertising spend in k€ and y = sales in k€. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 69?

n = 5ŷ = 69
x =

Answer key

  1. 1. a = 40.9
  2. 2. a = 30.73
  3. 3. r = 0.9878
  4. 4. r² = 0.9826
  5. 5. e = −1.61
  6. 6. x = 6.552

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