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
xy3595667839921110213116xy5106080100120

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 =
2.Easy
xy123220318418514614xy2461520

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 slope b.

n = 6
b =
3.Medium
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The table gives 5 paired observations of x = hours studied and y = exam score. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
4.Medium
xy2541362082710301237xy51010203040

The table gives 6 paired observations of x = load in kN and y = extension in mm. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 42Σy = 132Σx² = 364Σy² = 3592Σxy = 1142
r =
5.Hard
xy125221320420515613xy246152025ŷ = 15

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. For which value x does the line predict ŷ = 15?

n = 6ŷ = 15
x =
6.Hard
xy153817521949215623562562xy152025405060ŷ = 56

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 = 56?

n = 6ŷ = 56
x =

Answer key

  1. 1. a = 40.39
  2. 2. b = −1.8
  3. 3. r² = 0.9849
  4. 4. r = 0.9934
  5. 5. x = 5.295
  6. 6. x = 21.93

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