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
xy2741662383310401249xy5102040

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 = temperature in °C and y = ice creams sold. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 6
a =
3.Medium
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The table gives 6 paired observations of x = load in kN and y = extension in mm. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 42Σy = 154Σx² = 364Σy² = 4848Σxy = 1328
r =
4.Medium
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The table gives 5 paired observations of x = advertising spend in k€ and y = sales in k€. Find Pearson's correlation coefficient r.

n = 5
r =
5.Hard
xy12121731641451267xy246101520x = 3.5

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. A new observation (3.5, 20) is made. Find its residual e = y − ŷ.

n = 6(3.5, 20)
e =
6.Hard
xy17611978218623882596xy20256080100ŷ = 94

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. For which value x does the line predict ŷ = 94?

n = 5ŷ = 94
x =

Answer key

  1. 1. b = 4.171
  2. 2. a = −3.429
  3. 3. r = 0.9986
  4. 4. r = 0.9934
  5. 5. e = 5.5
  6. 6. x = 24.05

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