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
xy2104136248271034xy510102030

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 =
2.Easy
xy127225324419516618xy2462025

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 intercept a.

n = 6
a =
3.Medium
xy2464606678711088xy5106080

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

n = 5
r =
4.Medium
xy168619113221332515328168xy2025100150

The table gives 5 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 = 5Σx = 110Σy = 653Σx² = 2510Σy² = 89487Σxy = 14978
r =
5.Hard
xy133237335439537xy24343638x = 1.5

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. A new observation (1.5, 40) is made. Find its residual e = y − ŷ.

n = 5(1.5, 40)
e =
6.Hard
xy139245346448561664xy246405060x = 1.5

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. Predict ŷ for x = 1.5.

n = 6x = 1.5
ŷ =

Answer key

  1. 1. b = 3.1
  2. 2. a = 29.2
  3. 3. r = 0.9772
  4. 4. r = 0.9948
  5. 5. e = 5.3
  6. 6. ŷ = 40.5

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