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
xy244961281610201225xy5101020

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. Find the slope b.

n = 6
b =
2.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 slope b.

n = 5
b =
3.Medium
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The table gives 5 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 = 5Σx = 15Σy = 106Σx² = 55Σy² = 2284Σxy = 301
r =
4.Medium
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The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Find Pearson's correlation coefficient r.

n = 6
r =
5.Hard
xy1672198422102251112813331144xy15202530100150ŷ = 122

The table gives 6 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 = 122?

n = 6ŷ = 122
x =
6.Hard
xy15541755196221762382xy1520607080x = 22

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. Predict ŷ for x = 22.

n = 5x = 22
ŷ =

Answer key

  1. 1. b = 2.029
  2. 2. b = 6.5
  3. 3. r = −0.8862
  4. 4. r = 0.9685
  5. 5. x = 26.42
  6. 6. ŷ = 77.35

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