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 = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 6
a =
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 intercept a.

n = 5
a =
3.Medium
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The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 42Σy = 294Σx² = 364Σy² = 14614Σxy = 2176
r =
4.Medium
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The table gives 5 paired observations of x = car age in years and y = price in k€. Find Pearson's correlation coefficient r.

n = 5
r =
5.Hard
xy2114156228281032xy510102030ŷ = 19

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

n = 5ŷ = 19
x =
6.Hard
xy359466568675778xy46607080ŷ = 62

The table gives 5 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 = 62?

n = 5ŷ = 62
x =

Answer key

  1. 1. a = 48.85
  2. 2. a = 8.133
  3. 3. r = 0.9779
  4. 4. r = −0.9325
  5. 5. x = 5.055
  6. 6. x = 3.468

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