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.

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Name: ____________________   Date: ____________

1.Easy
xy2541161482010231225xy5101020

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. Find the slope b.

n = 6
b =
2.Easy
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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 =
3.Medium
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The table gives 5 paired observations of x = car age in years and y = price in k€. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 15Σy = 101Σx² = 55Σy² = 2149Σxy = 271
r =
4.Medium
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The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Find Pearson's correlation coefficient r.

n = 6
r =
5.Hard
xy21141962483610411252xy5102040ŷ = 14

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 = 14?

n = 6ŷ = 14
x =
6.Hard
xy126223322421517617xy2462025ŷ = 20

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. For which value x does the line predict ŷ = 20?

n = 6ŷ = 20
x =

Answer key

  1. 1. b = 2.029
  2. 2. a = 35.95
  3. 3. r = −0.9701
  4. 4. r = 0.9916
  5. 5. x = 2.919
  6. 6. x = 4.047

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