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
xy1212193164145868xy246101520

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. Find the slope b.

n = 6
b =
2.Easy
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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 =
3.Medium
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The table gives 6 paired observations of x = temperature in °C and y = ice creams sold. Find the coefficient of determination r² of the least-squares line.

n = 6
r² =
4.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 = 81Σx² = 364Σy² = 1317Σxy = 688
r =
5.Hard
xy2941462483010391249xy5102040x = 11

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. A new observation (11, 47) is made. Find its residual e = y − ŷ.

n = 6(11, 47)
e =
6.Hard
xy241340448548657xy2464050x = 2.5

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. A new observation (2.5, 46) is made. Find its residual e = y − ŷ.

n = 5(2.5, 46)
e =

Answer key

  1. 1. b = −2.857
  2. 2. a = 0.6
  3. 3. r² = 0.9869
  4. 4. r = 0.9674
  5. 5. e = 3.443
  6. 6. e = 5.2

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