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
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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 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 slope b.

n = 6
b =
3.Medium
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The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 27Σy = 227Σx² = 139Σy² = 8659Σxy = 1055
r =
4.Medium
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The table gives 5 paired observations of x = load in kN and y = extension in mm. Find Pearson's correlation coefficient r.

n = 5
r =
5.Hard
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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 (9, 57) is made. Find its residual e = y − ŷ.

n = 6(9, 57)
e =
6.Hard
xy15337558471019114xy56080100120ŷ = 108

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 108?

n = 5ŷ = 108
x =

Answer key

  1. 1. b = 1.329
  2. 2. b = 4.2
  3. 3. r = 0.9515
  4. 4. r = 0.9982
  5. 5. e = −3.986
  6. 6. x = 8.054

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