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 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 = hours studied and y = exam score. 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 5 paired observations of x = temperature in °C and y = ice creams sold. Find Pearson's correlation coefficient r.

n = 5
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 = 414Σx² = 286Σy² = 30306Σxy = 2830
r =
5.Hard
xy156359571788997xy56080100x = 6

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 = 6.

n = 5x = 6
ŷ =
6.Hard
xy1452177520782310626108xy1520256080100ŷ = 105

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 = 105?

n = 5ŷ = 105
x =

Answer key

  1. 1. a = 48.3
  2. 2. a = 45.78
  3. 3. r = 0.9413
  4. 4. r = 0.9914
  5. 5. ŷ = 79.75
  6. 6. x = 24.45

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