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 = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Find the slope b.

n = 5
b =
2.Easy
xy274126178231026xy5101020

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 =
3.Medium
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The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 48Σy = 333Σx² = 454Σy² = 18723Σxy = 2785
r =
4.Medium
xy1443455557709821182xy5106080

The table gives 6 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 36Σy = 378Σx² = 286Σy² = 25334Σxy = 2584
r =
5.Hard
xy175420642368268229833288xy2025306080ŷ = 80

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. For which value x does the line predict ŷ = 80?

n = 6ŷ = 80
x =
6.Hard
xy139340553762964xy5405060x = 6

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. Predict ŷ for x = 6.

n = 5x = 6
ŷ =

Answer key

  1. 1. b = 6
  2. 2. b = 2.45
  3. 3. r = 0.9306
  4. 4. r = 0.9688
  5. 5. x = 27.48
  6. 6. ŷ = 55.2

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