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
xy34355376097211881394xy510406080100

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 intercept a.

n = 6
a =
2.Easy
xy342444554654758xy46455055

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 slope b.

n = 5
b =
3.Medium
xy1473585657679751188xy5106080

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
xy121222317415512611xy2461520

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 =
5.Hard
xy348451552653753864xy46850556065ŷ = 58

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. For which value x does the line predict ŷ = 58?

n = 6ŷ = 58
x =
6.Hard
xy120218319415515xy24161820ŷ = 16

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 = 16?

n = 5ŷ = 16
x =

Answer key

  1. 1. a = 25.82
  2. 2. b = 4.2
  3. 3. r = 0.9804
  4. 4. r² = 0.9296
  5. 5. x = 7.31
  6. 6. x = 4.077

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