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
xy143216481854205422642469xy1520254060

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. Find the intercept a.

n = 6
a =
2.Easy
xy128224323424518616xy2462025

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 slope b.

n = 6
b =
3.Medium
xy12321631541351165xy2461020

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
xy1540185021662478279330107xy1520253050100

The table gives 6 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 = 6Σx = 135Σy = 434Σx² = 3195Σy² = 34638Σxy = 10479
r =
5.Hard
xy169418103201092212924140xy20100120140x = 17

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 = 17.

n = 5x = 17
ŷ =
6.Hard
xy1333455547639751188xy510406080x = 10

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. A new observation (10, 76) is made. Find its residual e = y − ŷ.

n = 6(10, 76)
e =

Answer key

  1. 1. a = −9.743
  2. 2. b = −2.2
  3. 3. r² = 0.9249
  4. 4. r = 0.9987
  5. 5. ŷ = 97.3
  6. 6. e = −5.038

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