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
xy12421931941751268xy24610152025

The table gives 6 paired observations of x = car age in years and y = price 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 = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 6
a =
3.Medium
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The table gives 5 paired observations of x = car age in years and y = price in k€. Find Pearson's correlation coefficient r.

n = 5
r =
4.Medium
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The table gives 5 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 25Σy = 271Σx² = 135Σy² = 14803Σxy = 1385
r =
5.Hard
xy3325397479511153xy5104050ŷ = 36

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 = 36?

n = 5ŷ = 36
x =
6.Hard
xy164219432257256528713174xy1520253040506070ŷ = 66

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 = 66?

n = 6ŷ = 66
x =

Answer key

  1. 1. a = 26.8
  2. 2. a = 39.2
  3. 3. r = −0.9667
  4. 4. r = 0.8854
  5. 5. x = 3.889
  6. 6. x = 26.56

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