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
xy18962096221042411626132xy2025100120

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. Find the intercept a.

n = 5
a =
2.Easy
xy136349564767983xy5406080

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
xy294196268341042xy5102040

The table gives 5 paired observations of x = load in kN and y = extension in mm. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 30Σy = 130Σx² = 220Σy² = 4038Σxy = 942
r =
4.Medium
xy244356461572670781xy2466080

The table gives 6 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 27Σy = 384Σx² = 139Σy² = 25438Σxy = 1847
r =
5.Hard
xy189020105221172412326131xy2025100120ŷ = 118

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 = 118?

n = 5ŷ = 118
x =
6.Hard
xy36458079091031111113121xy5106080100120ŷ = 96

The table gives 6 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 96?

n = 6ŷ = 96
x =

Answer key

  1. 1. a = 7.6
  2. 2. b = 5.6
  3. 3. r = 0.9986
  4. 4. r = 0.9689
  5. 5. x = 22.96
  6. 6. x = 8.209

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