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
xy179220114231322614829153xy202530100120140160

The table gives 5 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 = 5
a =
2.Easy
xy251349465561676xy246506070

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 5
a =
3.Medium
xy2294376508551064xy5104060

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

n = 5Σx = 30Σy = 235Σx² = 220Σy² = 11831Σxy = 1586
r =
4.Medium
xy234339433537641xy2463540

The table gives 5 paired observations of x = advertising spend in k€ and y = sales in k€. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
5.Hard
xy2941662382810361244xy5102040ŷ = 19

The table gives 6 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 = 19?

n = 6ŷ = 19
x =
6.Hard
xy146253357464567xy245060ŷ = 60

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 60?

n = 5ŷ = 60
x =

Answer key

  1. 1. a = 8.2
  2. 2. a = 35.6
  3. 3. r = 0.9926
  4. 4. r² = 0.3214
  5. 5. x = 4.958
  6. 6. x = 3.491

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