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
xy241351457561666765xy246405060

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 intercept a.

n = 6
a =
2.Easy
xy14601773208323982611529141xy15202530100150

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
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The table gives 5 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 25Σy = 317Σx² = 135Σy² = 20243Σxy = 1617
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
xy149364573793999xy56080100ŷ = 56

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 = 56?

n = 5ŷ = 56
x =
6.Hard
xy1443565637649741185xy5106080ŷ = 72

The table gives 6 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 = 72?

n = 6ŷ = 72
x =

Answer key

  1. 1. a = 35.1
  2. 2. b = 5.2
  3. 3. r = 0.8398
  4. 4. r² = 0.6815
  5. 5. x = 1.961
  6. 6. x = 8.064

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