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 = temperature in °C and y = ice creams sold. 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 = hours studied and y = exam score. 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 6 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 33Σy = 325Σx² = 199Σy² = 17921Σxy = 1856
r =
4.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 = 89Σx² = 55Σy² = 1671Σxy = 239
r =
5.Hard
xy243354464560674xy246506070x = 2.5

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Predict ŷ for x = 2.5.

n = 5x = 2.5
ŷ =
6.Hard
xy239346446553662xy246405060x = 3.5

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. A new observation (3.5, 50) is made. Find its residual e = y − ŷ.

n = 5(3.5, 50)
e =

Answer key

  1. 1. a = −17.73
  2. 2. b = 3.4
  3. 3. r = 0.9199
  4. 4. r = −0.9504
  5. 5. ŷ = 48.8
  6. 6. e = 3.45

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