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
xy248353455564663769xy246506070

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 =
3.Medium
xy15431740195421542368xy152040506070

The table gives 5 paired observations of x = temperature in °C and y = ice creams sold. Find Pearson's correlation coefficient r.

n = 5
r =
4.Medium
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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 = 132Σy = 583Σx² = 2974Σy² = 57951Σxy = 13123
r =
5.Hard
xy264136188271033xy510102030x = 5

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. Predict ŷ for x = 5.

n = 5x = 5
ŷ =
6.Hard
xy24545065485910691273xy510506070x = 9

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 = 9.

n = 6x = 9
ŷ =

Answer key

  1. 1. b = −1
  2. 2. b = 4.114
  3. 3. r = 0.9154
  4. 4. r = 0.9835
  5. 5. ŷ = 16
  6. 6. ŷ = 64.1

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