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
xy3445507579621170xy510506070

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. Find the intercept a.

n = 5
a =
2.Easy
xy24496118161016xy51051015

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 =
3.Medium
xy2514606698871010012105xy5106080100

The table gives 6 paired observations of x = hours studied and y = exam score. Find Pearson's correlation coefficient r.

n = 6
r =
4.Medium
xy363462576677787891xy46860708090

The table gives 6 paired observations of x = hours studied and y = exam score. Find the coefficient of determination r² of the least-squares line.

n = 6
r² =
5.Hard
xy123220319416516xy2420ŷ = 22

The table gives 5 paired observations of x = car age in years and y = price in k€. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 22?

n = 5ŷ = 22
x =
6.Hard
xy128236335444539xy2430354045ŷ = 32

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 = 32?

n = 5ŷ = 32
x =

Answer key

  1. 1. a = 34.2
  2. 2. a = 1.9
  3. 3. r = 0.9902
  4. 4. r² = 0.9361
  5. 5. x = 1.222
  6. 6. x = 1.533

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