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
xy1665186620752291249226106xy202580100

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 =
2.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 =
3.Medium
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The table gives 6 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 = 6Σx = 129Σy = 543Σx² = 2931Σy² = 54051Σxy = 12552
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 Pearson's correlation coefficient r.

n = 6
r =
5.Hard
xy130227334438535xy243035ŷ = 34

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 = 34?

n = 5ŷ = 34
x =
6.Hard
xy1859217224922710030107xy2025306080100x = 28.5

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. A new observation (28.5, 108) is made. Find its residual e = y − ŷ.

n = 5(28.5, 108)
e =

Answer key

  1. 1. b = 4.271
  2. 2. a = 5.133
  3. 3. r = 0.9979
  4. 4. r = −0.9797
  5. 5. x = 3.571
  6. 6. e = 3.4

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