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
xy123226338436541645xy2463040

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 =
2.Easy
xy2564636748761081xy510607080

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
xy129224325423518617xy246202530

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

n = 6
r =
4.Medium
xy2114176228311036xy510102030

The table gives 5 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 = 5Σx = 30Σy = 117Σx² = 220Σy² = 3151Σxy = 830
r =
5.Hard
xy123221320420517xy24182022ŷ = 18

The table gives 5 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 = 18?

n = 5ŷ = 18
x =
6.Hard
xy124222319418512xy24152025x = 1.5

The table gives 5 paired observations of x = car age in years and y = price in k€. Use the least-squares line ŷ = a + b·x. A new observation (1.5, 19) is made. Find its residual e = y − ŷ.

n = 5(1.5, 19)
e =

Answer key

  1. 1. b = 4.371
  2. 2. a = 51.1
  3. 3. r = −0.9499
  4. 4. r = 0.9956
  5. 5. x = 4.692
  6. 6. e = −4.2

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