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
xy362572781910211107xy5106080100

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
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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 =
3.Medium
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The table gives 5 paired observations of x = temperature in °C and y = ice creams sold. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 110Σy = 515Σx² = 2460Σy² = 54249Σxy = 11540
r =
4.Medium
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The table gives 6 paired observations of x = temperature in °C and y = ice creams sold. Find the coefficient of determination r² of the least-squares line.

n = 6
r² =
5.Hard
xy21042062983410431253xy5102040x = 5

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. A new observation (5, 27) is made. Find its residual e = y − ŷ.

n = 6(5, 27)
e =
6.Hard
xy347558772983119013106xy5106080100ŷ = 65

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. For which value x does the line predict ŷ = 65?

n = 6ŷ = 65
x =

Answer key

  1. 1. b = 6
  2. 2. a = 49.2
  3. 3. r = 0.9569
  4. 4. r² = 0.9846
  5. 5. e = 3.757
  6. 6. x = 6.085

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