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
xy126222320416514xy24152025

The table gives 5 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 = 5
b =
2.Easy
xy125220318419516614xy246152025

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 =
3.Medium
xy16901911522135251542817131187xy15202530100150

The table gives 6 paired observations of x = temperature in °C and y = ice creams sold. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 141Σy = 852Σx² = 3471Σy² = 127476Σxy = 21030
r =
4.Medium
xy24044666186610751285xy510406080

The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Find the coefficient of determination r² of the least-squares line.

n = 6
r² =
5.Hard
xy15381857216324672782xy152025406080ŷ = 66

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 = 66?

n = 5ŷ = 66
x =
6.Hard
xy122219318412510xy24101520x = 2.5

The table gives 5 paired observations of x = car age in years and y = price in k€. Use the least-squares line ŷ = a + b·x. A new observation (2.5, 21) is made. Find its residual e = y − ŷ.

n = 5(2.5, 21)
e =

Answer key

  1. 1. b = −3
  2. 2. b = −1.886
  3. 3. r = 0.9969
  4. 4. r² = 0.9868
  5. 5. x = 22.41
  6. 6. e = 3.25

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