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
xy338443547647747xy464045

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 slope b.

n = 5
b =
2.Easy
xy25496108161016xy51051015

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. 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 = 97Σx² = 55Σy² = 1931Σxy = 272
r =
4.Medium
xy3505647739821195xy5106080100

The table gives 5 paired observations of x = hours studied and y = exam score. Find Pearson's correlation coefficient r.

n = 5
r =
5.Hard
xy14841684181002011522125xy1520100120ŷ = 107

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 = 107?

n = 5ŷ = 107
x =
6.Hard
xy17952011623138261562917732199xy202530100150200ŷ = 188

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 = 188?

n = 6ŷ = 188
x =

Answer key

  1. 1. b = 2.2
  2. 2. b = 1.45
  3. 3. r = −0.8566
  4. 4. r = 0.9964
  5. 5. x = 18.96
  6. 6. x = 30.5

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