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 intercept a.

n = 5
a =
2.Easy
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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. Find the slope b.

n = 5
b =
3.Medium
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The table gives 5 paired observations of x = load in kN and y = extension in mm. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 30Σy = 58Σx² = 220Σy² = 906Σxy = 444
r =
4.Medium
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The table gives 6 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 = 6
r² =
5.Hard
xy150246356461572xy24506070ŷ = 48

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 48?

n = 5ŷ = 48
x =
6.Hard
xy2464466488541063xy5105060ŷ = 49

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. For which value x does the line predict ŷ = 49?

n = 5ŷ = 49
x =

Answer key

  1. 1. a = 40.15
  2. 2. b = 4.85
  3. 3. r = 0.994
  4. 4. r² = 0.9775
  5. 5. x = 1.475
  6. 6. x = 4.857

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