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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1.Easy
xy154817681965218323812595xy1520256080100

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 intercept a.

n = 6
a =
2.Easy
xy154517441961217023622580xy1520256080

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
xy21141661982710351239xy51010203040

The table gives 6 paired observations of x = load in kN and y = extension in mm. Find the coefficient of determination r² of the least-squares line.

n = 6
r² =
4.Medium
xy16551865206722712479xy20607080

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 = 100Σy = 337Σx² = 2040Σy² = 23021Σxy = 6848
r =
5.Hard
xy336433544648746854xy4684050x = 4.5

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. Predict ŷ for x = 4.5.

n = 6x = 4.5
ŷ =
6.Hard
xy139241344452555xy2440455055x = 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, 43) is made. Find its residual e = y − ŷ.

n = 5(3.5, 43)
e =

Answer key

  1. 1. a = −10.1
  2. 2. b = 3.4
  3. 3. r² = 0.9818
  4. 4. r = 0.9743
  5. 5. ŷ = 39.7
  6. 6. e = −5.35

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