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
xy12022031541351269xy246101520

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 slope b.

n = 6
b =
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 slope b.

n = 6
b =
3.Medium
xy12322032041451169xy246101520

The table gives 6 paired observations of x = car age in years and y = price in k€. Find the coefficient of determination r² of the least-squares line.

n = 6
r² =
4.Medium
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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 = 20Σy = 311Σx² = 90Σy² = 19477Σxy = 1274
r =
5.Hard
xy23496981510161217xy51051015x = 3

The table gives 6 paired observations of x = load in kN and y = extension in mm. Use the least-squares line ŷ = a + b·x. Predict ŷ for x = 3.

n = 6x = 3
ŷ =
6.Hard
xy36257878199411109xy5106080100x = 8

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. A new observation (8, 92) is made. Find its residual e = y − ŷ.

n = 5(8, 92)
e =

Answer key

  1. 1. b = −2.314
  2. 2. b = 4.486
  3. 3. r² = 0.9542
  4. 4. r = 0.8232
  5. 5. ŷ = 5.957
  6. 6. e = 1.7

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