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
xy294156268301041xy51010203040

The table gives 5 paired observations of x = load in kN and y = extension in mm. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 5
a =
2.Easy
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The table gives 5 paired observations of x = car age in years and y = price 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 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 = 107Σx² = 364Σy² = 2315Σxy = 916
r =
4.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 = 96Σx² = 55Σy² = 1956Σxy = 255
r =
5.Hard
xy355570780910111111xy5106080100x = 4

The table gives 5 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 = 5x = 4
ŷ =
6.Hard
xy17911987211002310825131xy2025100120x = 22

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. A new observation (22, 106) is made. Find its residual e = y − ŷ.

n = 5(22, 106)
e =

Answer key

  1. 1. a = 0.5
  2. 2. a = 27
  3. 3. r = 0.9896
  4. 4. r = −0.9826
  5. 5. ŷ = 61.95
  6. 6. e = −2.45

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