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

n = 6
b =
2.Easy
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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 slope b.

n = 6
b =
3.Medium
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The table gives 5 paired observations of x = car age in years and y = price in k€. Find Pearson's correlation coefficient r.

n = 5
r =
4.Medium
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The table gives 6 paired observations of x = hours studied and y = exam score. Find Pearson's correlation coefficient r.

n = 6
r =
5.Hard
xy24144465286210721282xy510406080x = 11

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 = 11.

n = 6x = 11
ŷ =
6.Hard
xy185521642471278430843394xy2025306080ŷ = 91

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 = 91?

n = 6ŷ = 91
x =

Answer key

  1. 1. b = 4.457
  2. 2. b = −1.829
  3. 3. r = −0.9949
  4. 4. r = 0.9876
  5. 5. ŷ = 75.92
  6. 6. x = 31.64

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