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 = advertising spend in k€ and y = sales in k€. 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 = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 33Σy = 429Σx² = 199Σy² = 31189Σxy = 2449
r =
4.Medium
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The table gives 6 paired observations of x = hours studied and y = exam score. Find Pearson's correlation coefficient r.

n = 6
r =
5.Hard
xy23944566587210811296xy510406080100ŷ = 78

The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 78?

n = 6ŷ = 78
x =
6.Hard
xy15721893211112413327148xy152025100150ŷ = 121

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 = 121?

n = 5ŷ = 121
x =

Answer key

  1. 1. a = 30.53
  2. 2. a = 11.6
  3. 3. r = 0.9423
  4. 4. r = 0.9766
  5. 5. x = 9.042
  6. 6. x = 22.5

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