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
xy274116178231030xy510102030

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 intercept a.

n = 5
a =
2.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 slope b.

n = 6
b =
3.Medium
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The table gives 5 paired observations of x = temperature in °C and y = ice creams sold. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
4.Medium
xy126221319413512610xy24610152025

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 = 101Σx² = 91Σy² = 1891Σxy = 297
r =
5.Hard
xy340445543653753856xy46840455055ŷ = 49

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 = 49?

n = 6ŷ = 49
x =
6.Hard
xy14371753207123782681xy152025406080ŷ = 47

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 = 47?

n = 5ŷ = 47
x =

Answer key

  1. 1. a = 0.2
  2. 2. b = 4.886
  3. 3. r² = 0.9849
  4. 4. r = −0.9777
  5. 5. x = 5.705
  6. 6. x = 15.49

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