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
xy2494606738781091xy5106080

The table gives 5 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 = 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 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 = 2375Σxy = 370
r =
4.Medium
xy141354566770989xy5406080

The table gives 5 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 25Σy = 320Σx² = 165Σy² = 21774Σxy = 1824
r =
5.Hard
xy128221320415514xy24152025ŷ = 18

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 = 18?

n = 5ŷ = 18
x =
6.Hard
xy127225324421520614xy246152025x = 5.5

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. Predict ŷ for x = 5.5.

n = 6x = 5.5
ŷ =

Answer key

  1. 1. a = 39.6
  2. 2. a = 50.6
  3. 3. r = −0.9765
  4. 4. r = 0.9846
  5. 5. x = 3.471
  6. 6. ŷ = 17.09

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