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
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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
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The table gives 6 paired observations of x = temperature in °C and y = ice creams sold. Use the least-squares line ŷ = a + b·x. Find the slope b.

n = 6
b =
3.Medium
xy264106118151023xy5101020

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

n = 5
r =
4.Medium
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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 =
5.Hard
xy33554575695811661377xy510406080ŷ = 72

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 = 72?

n = 6ŷ = 72
x =
6.Hard
xy224330438538644750xy246304050x = 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, 32) is made. Find its residual e = y − ŷ.

n = 6(4.5, 32)
e =

Answer key

  1. 1. b = −2.2
  2. 2. b = 3.067
  3. 3. r = 0.9572
  4. 4. r² = 0.7812
  5. 5. x = 12.03
  6. 6. e = −5.333

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