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
xy2524636648701082xy51050607080

The table gives 5 paired observations of x = hours studied and y = exam score. 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 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 intercept a.

n = 6
a =
3.Medium
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The table gives 6 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 = 6Σx = 21Σy = 117Σx² = 91Σy² = 2485Σxy = 351
r =
4.Medium
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The table gives 6 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 36Σy = 470Σx² = 286Σy² = 38642Σxy = 3172
r =
5.Hard
xy125223324418519xy242025ŷ = 19

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. For which value x does the line predict ŷ = 19?

n = 5ŷ = 19
x =
6.Hard
xy34555976496811821386xy5106080ŷ = 51

The table gives 6 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 = 51?

n = 6ŷ = 51
x =

Answer key

  1. 1. a = 46.1
  2. 2. a = 26.13
  3. 3. r = −0.9803
  4. 4. r = 0.9847
  5. 5. x = 4.647
  6. 6. x = 3.887

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