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
xy129226324421519xy24202530

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 intercept a.

n = 5
a =
2.Easy
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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
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The table gives 5 paired observations of x = car age in years and y = price in k€. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 15Σy = 116Σx² = 55Σy² = 2734Σxy = 330
r =
4.Medium
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The table gives 6 paired observations of x = temperature in °C and y = ice creams sold. Find Pearson's correlation coefficient r.

n = 6
r =
5.Hard
xy2941862383310371245xy5102040ŷ = 13

The table gives 6 paired observations of x = load in kN and y = extension in mm. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 13?

n = 6ŷ = 13
x =
6.Hard
xy149262365464577680xy24650607080x = 1.5

The table gives 6 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. A new observation (1.5, 57) is made. Find its residual e = y − ŷ.

n = 6(1.5, 57)
e =

Answer key

  1. 1. a = 31.3
  2. 2. b = 3.343
  3. 3. r = −0.8701
  4. 4. r = 0.9116
  5. 5. x = 2.891
  6. 6. e = 2.205

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