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
xy12321731741251066xy2461020

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 = 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 =
3.Medium
xy12321731741559xy24101520

The table gives 5 paired observations of x = car age in years and y = price in k€. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 15Σy = 81Σx² = 55Σy² = 1413Σxy = 213
r =
4.Medium
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The table gives 5 paired observations of x = temperature in °C and y = ice creams sold. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
5.Hard
xy146252352460563670xy246506070x = 3.5

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 = 3.5.

n = 6x = 3.5
ŷ =
6.Hard
xy2114186228311037xy51010203040ŷ = 34

The table gives 5 paired observations of x = load in kN and y = extension in mm. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 34?

n = 5ŷ = 34
x =

Answer key

  1. 1. a = 25.27
  2. 2. a = 35.64
  3. 3. r = −0.9449
  4. 4. r² = 0.9445
  5. 5. ŷ = 57.17
  6. 6. x = 9.138

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