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
xy231340442551655765xy2464060

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 =
2.Easy
xy3525597669741192xy5106080

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 intercept a.

n = 5
a =
3.Medium
xy123222320419517xy24182022

The table gives 5 paired observations of x = car age in years and y = price in k€. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
4.Medium
xy2104186248341043xy5102040

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 = 129Σx² = 220Σy² = 4005Σxy = 938
r =
5.Hard
xy248349451562663773xy246506070x = 4.5

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. A new observation (4.5, 56) is made. Find its residual e = y − ŷ.

n = 6(4.5, 56)
e =
6.Hard
xy123223322419518613xy2461520ŷ = 24

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. For which value x does the line predict ŷ = 24?

n = 6ŷ = 24
x =

Answer key

  1. 1. b = 6.4
  2. 2. a = 35.35
  3. 3. r² = 0.9868
  4. 4. r = 0.9967
  5. 5. e = −1.667
  6. 6. x = 1.27

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