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
xy1303465537719761190xy510406080

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 intercept a.

n = 6
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 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 = 21Σy = 445Σx² = 91Σy² = 34117Σxy = 1696
r =
4.Medium
xy126223318415514xy24152025

The table gives 5 paired observations of x = car age in years and y = price in k€. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
5.Hard
xy1313435447549601169xy5104060ŷ = 36

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 = 36?

n = 6ŷ = 36
x =
6.Hard
xy143916581865206922792482xy152025406080ŷ = 73

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. For which value x does the line predict ŷ = 73?

n = 6ŷ = 73
x =

Answer key

  1. 1. a = 26.03
  2. 2. b = 5.743
  3. 3. r = 0.9925
  4. 4. r² = 0.9588
  5. 5. x = 2.049
  6. 6. x = 20.9

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