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

n = 5
b =
3.Medium
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The table gives 6 paired observations of x = car age in years and y = price in k€. Find Pearson's correlation coefficient r.

n = 6
r =
4.Medium
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The table gives 5 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 15Σy = 273Σx² = 55Σy² = 15421Σxy = 890
r =
5.Hard
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The table gives 6 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Predict ŷ for x = 4.

n = 6x = 4
ŷ =
6.Hard
xy2841462383410401248xy5102040ŷ = 44

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 = 44?

n = 6ŷ = 44
x =

Answer key

  1. 1. b = 2.229
  2. 2. b = 3.55
  3. 3. r = −0.9319
  4. 4. r = 0.9892
  5. 5. ŷ = 78.55
  6. 6. x = 10.92

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